Citations with the tag: EINSTEIN field equations

Results 101 - 150

  • Total energy momentum in general relativity.
    Ó Murchadha, Niall // Journal of Mathematical Physics; Aug86, Vol. 27 Issue 8, p2111 

    The energy momentum of any asymptotically flat vacuum solution to the Einstein equations is a well-defined, conserved, Lorentz-covariant, timelike, future-pointing vector. The only requirement is that one be given asymptotically flat initial data that satisfy very weak continuity and falloff...

  • Dual mass, H-spaces, self-dual gauge connections, and nonlinear gravitons with topological origin.
    Magnon, Anne // Journal of Mathematical Physics; Aug86, Vol. 27 Issue 8, p2105 

    An analogy between source-free, asymptotically Taub–NUT magnetic monopole solutions to Einstein’s equation and self-(anti-self-) dual gauge connections is displayed, which finds its origin in the first Chern class of these space-times. A definition of asymptotic graviton modes is...

  • Einstein–Maxwell equations and the conformal Ricci collineations.
    Faridi, Abbas M. // Journal of Mathematical Physics; Jun87, Vol. 28 Issue 6, p1370 

    The Einstein–Maxwell field equations for non-null electromagnetic fields are studied under the assumption of admitting a conformal Ricci collineation. It is shown that a non-null electromagnetic field does not admit any conformal Ricci collineation, unless the generators of the symmetry...

  • Bianchi type VI0 space-times with perfect fluid source.
    Ram, Shri // Journal of Mathematical Physics; Feb88, Vol. 29 Issue 2, p449 

    An analytic solution to Einstein’s field equations is presented for the Bianchi type VI0 class of models. The energy-momentum tensor is of the perfect fluid type. The solution corresponds to a locally rotationally symmetric and expanding cosmological universe which would give an...

  • Spherically symmetric solutions in higher dimensions.
    Krori, K. D.; Borgohain, P.; Das, Kanika // Journal of Mathematical Physics; Oct89, Vol. 30 Issue 10, p2315 

    An exact general solution of Einstein’s equations for spherically symmetric distribution of a perfect fluid in N dimensions is presented from which the whole class of spherically symmetric solutions may be obtained. As examples, some particular solutions obtainable from a general solution...

  • Colliding gravitational waves with Killing–Cauchy horizons.
    Li, Wei; Hauser, Isidore; Ernst, Frederick J. // Journal of Mathematical Physics; Apr91, Vol. 32 Issue 4, p1025 

    A large family of solutions that were constructed earlier [J. Math. Phys. 32, 723 (1991)] is shown to exhibit Killing–Cauchy horizons when one of the parameters, n, is set equal to 3, 1, -1, or -3.

  • On the gravitational interaction of plane symmetric clouds of null dust.
    Tsoubelis, Dimitri; Wang, Anzhong // Journal of Mathematical Physics; Apr91, Vol. 32 Issue 4, p1017 

    Plane symmetric solutions of the Einstein field equations are considered, solutions that represent the collision of oppositely moving clouds of initially unidentified massless particles—clouds of ‘‘null dust.’’ In terms of specific examples it is shown that the...

  • Metric of two arbitrary Kerr–Newman sources located on the symmetry axis.
    Manko, V. S.; Martín, J.; Ruiz, E. // Journal of Mathematical Physics; Dec94, Vol. 35 Issue 12, p6644 

    An exact asymptotically flat axisymmetric solution of the Einstein–Maxwell equations representing the exterior field of two arbitrary Kerr–Newman masses located on the symmetry axis is constructed in explicit form. In a particular case, when the solution describes two identical...

  • A family of cosmological solutions in higher-dimensional Einstein gravity.
    Coley, Alan A.; McManus, Des J. // Journal of Mathematical Physics; Jan1995, Vol. 36 Issue 1, p335 

    Presents a two-parameter family of solutions to Einstein's vacuum field equations in six dimensions. Natural extension of a one-parameter family of five-dimensional vacuum solutions found by Ponce de Leon; Background on the problem of embedding pseudo-Riemannian manifolds in flat spaces of...

  • Macroscopic Einstein equations to second order in the interaction constant.
    Zakharov, A. V. // Journal of Experimental & Theoretical Physics; Oct97, Vol. 85 Issue 4, p627 

    The present paper is a direct continuation of an earlier paper [JETP 83, 1 (1996)] devoted to the derivation of the macroscopic Einstein equations to within terms of second order in the interaction constant. Ensemble averaging of the microscopic Einstein equations and the Liouville equation for...

  • Analysis of the cosmological Oppenheimer-Volkoff equations.
    Winter, Dale // Journal of Mathematical Physics; Aug2000, Vol. 41 Issue 8 

    Formulates the Oppenheimer-Volkoff equations with a nonzero cosmological constant. Analysis of the behavior of solutions; Derivation of the Oppenheimer-Volkoff equations from Einstein field equations; Applications of the equations; Model for the gravitational collapse of stars.

  • Null surfaces formulation in three dimensions.
    Forni, Diego M.; Iriondo, Mirta; Kozameh, Carlos N. // Journal of Mathematical Physics; Aug2000, Vol. 41 Issue 8 

    The null surface formulation of general relativity is developed for 2+1 dimensional gravity. The geometrical meaning of the metricity condition is analyzed and two approaches to the derivation of the field equations are presented. One method makes explicit use of the conformal factor while the...

  • Equations of state and plane-autonomous systems in Bianchi V imperfect fluid cosmology.
    Coley, Alan A. // Journal of Mathematical Physics; Jul90, Vol. 31 Issue 7, p1698 

    A new general approach for investigating imperfect fluid cosmological models is introduced in which the equations of state are completely ‘‘dimensionless.’’ Such equations of state are then utilized to reduce the Einstein field equations governing Bianchi V imperfect...

  • Generating infinitesimal transformations with second-order-infinitesimal accuracy for proving covariance of commutation relations under finite transformations.
    Belinfante, Frederik J. // Journal of Mathematical Physics; Nov85, Vol. 26 Issue 11, p2814 

    As dynamical quantization of Einstein's gravitational theory meets unsolved problems, it is worth considering the alternative method of quantization suggested by Fermi's quantization of specialrelativistic electrodynamics, which for that theory has been the starting point of most modern...

  • Confined gravitational fields produced by anisotropic fluids.
    Herrera, L.; Ponce de León, J. // Journal of Mathematical Physics; Nov85, Vol. 26 Issue 11, p2847 

    A family of solutions of the Einstein equations for a spherically symmetric distribution of anisotropic matter is presented, which can be matched with the flat (Minkowskian) space-time on the boundary of the matter, although the energy density and stresses are nonvanishing within the sphere.

  • Shear-free normal cosmological models.
    Krasinski, Andrzej // Journal of Mathematical Physics; Feb89, Vol. 30 Issue 2, p433 

    Shear-free normal cosmological models are the perfect fluid solutions of Einstein’s equations in which rotation and shear vanish, and which are not static [they were all found by A. Barnes, Gen. Relativ. Gravit. 4, 105 (1973)]. They are either spherically, plane, or hyperbolically...

  • Cosmological models that describe particle creation in the early universe and evolve into the ‘‘present-day’’ universe.
    Ponce de Leon, J. // Journal of Mathematical Physics; Dec91, Vol. 32 Issue 12, p3546 

    The disappearance of the cosmological constant can be formally treated by means of similarity solutions of general relativity that evolve from a stage with conformal symmetry to a stage with homothetic symmetry. In this work it is assumed that in this transition the universe does not...

  • Singularity-free static fluid spheres in general relativity.
    Orlyansky, Oleg Yu. // Journal of Mathematical Physics; Oct97, Vol. 38 Issue 10, p5301 

    Focuses on singularity-free static fluid spheres in general relativity. Einstein equations; Modification of the known methods of obtaining exact spherically symmetric solutions.

  • The diffusivity-mobility ratio in nonparabolic materials.
    Ghatak, K. P.; Mondal, M. // Journal of Applied Physics; 2/1/1992, Vol. 71 Issue 3, p1277 

    Presents a study that examined the Einstein relation for the diffusivity mobility ratio of the carriers in several materials and bismuth by formulating the expressions in accordance with the models used. Theoretical background; Results and discussion.

  • Comments on the use of the Einstein equation for transport diffusion: Application to argon in AlPO[sub 4]-5.
    Tepper, H. L.; Briels, W. J. // Journal of Chemical Physics; 6/1/2002, Vol. 116 Issue 21, p9464 

    Two methods to calculate corrected collective diffusion coefficients in zeolites are compared. The meaning of the center-of-mass coordinate that occurs in the usual Einstein expression for the corrected diffusivity is discussed. The use of unfolded particle trajectories in the expression is...

  • A new self-similar space-time.
    Chi, L. K. // Journal of Mathematical Physics; Jul87, Vol. 28 Issue 7, p1539 

    A new self-similar solution of the Einstein field equations is presented. In the new space-time, the density is zero at time zero and follows an inverse square law for large t. The new solution may have interesting astrophysical applications since it has the same reference lengths as that of the...

  • Duality rotations and type D solutions to Einstein equations with nonlinear electromagnetic sources.
    Salazar I., Humberto; García D., Alberto; Plebanski, Jerzy // Journal of Mathematical Physics; Sep87, Vol. 28 Issue 9, p2171 

    Within nonlinear electrodynamics of Born–Infeld type allowing for the freedom of duality rotations, explicit type D solutions are constructed. The obtained type D solutions, which generalize the charged Taub–NUT (Newman–Unti–Tamburino) metric with λ, exhaust all...

  • Kaluza–Klein equations, Einstein’s equations, and an effective energy-momentum tensor.
    Wesson, Paul S.; Ponce de Leon, J. // Journal of Mathematical Physics; Nov92, Vol. 33 Issue 11, p3883 

    Following earlier work, it is inquired how far the 5-D Kaluza–Klein equations without sources may be reduced to the Einstein equations with sources. It is shown by algebraic means that this can be done, provided the extra part of the 5-D geometry is used appropriately to define an...

  • Massive spin-2 propagators on de Sitter space.
    Gabriel, Cl.; Spindel, Ph. // Journal of Mathematical Physics; Feb97, Vol. 38 Issue 2, p622 

    Presents a calculation of the propagator for the massive spin-2 field on de Sitter space. Metric perturbation on Einstein space; Field equations on de Sitter space.

  • The generalized thin-sandwich problem and its local solvability.
    Giulini, Domenico // Journal of Mathematical Physics; May99, Vol. 40 Issue 5, p2470 

    Considers Einstein gravity coupled to matter consisting of a gauge field with any compact gauge group and minimally coupled scalar fields. Investigation of a free specification of a spatial field configuration; Solution of the constraints for lapse, shift and other gauge parameters;...

  • A black-box self-consistent field convergence algorithm: One step closer.
    Kudin, Konstantin N.; Scuseria, Gustavo E.; Cance`s, Eric // Journal of Chemical Physics; 5/15/2002, Vol. 116 Issue 19, p8255 

    A direct inversion iterative subspace version of the relaxed constrained algorithm is found to be a very powerful convergence acceleration technique for the solution of the self-consistent field equations found in the Hartree-Fock method and Kohn-Sham-based density functional theory (KS-DFT)....

  • Fluid sources for Bianchi I and III space-times.
    Bayin, Selçuk Ş.; Krisch, J. P. // Journal of Mathematical Physics; Jan1986, Vol. 27 Issue 1, p262 

    Four analytic solutions to the Einstein field equations are presented. The solutions are parametrized to have either Bianchi I or Bianchi III symmetry. The associated fluid parameters are given and some of them are discussed in detail.

  • Joint linearization instabilities in general relativity.
    Brill, Dieter; Vishveshwara, C. V. // Journal of Mathematical Physics; Jul86, Vol. 27 Issue 7, p1813 

    When Einstein's equations are supplemented by symmetry conditions, linearization instabilities can occur that are not present in either of the two sets of equations. The general conditions for this joint instability are investigated. This is illustrated with an example where both the Einstein...

  • Cartan ideal, prolongation, and Bäcklund transformations for Einstein’s equations.
    Bilge, A. H.; Gürses, M. // Journal of Mathematical Physics; Jul86, Vol. 27 Issue 7, p1819 

    Einstein's equations in the Newman-Penrose formalism for vacuum, vacuum with cosmological constant, and electrovacuum fields are expressed as Cartan ideals. Two different prolongations of these ideals are obtained. These two types of prolonged ideals generalize previous prolongations for vacuum...

  • The static, cylindrically symmetric strings in general relativity with cosmological constant.
    Linet, B. // Journal of Mathematical Physics; Jul86, Vol. 27 Issue 7, p1817 

    The static, cylindrically symmetric solutions to Einstein's equations with a cosmological term describing cosmic strings are determined. The discussion depends on the sign of the cosmological constant.

  • Mobility and measurements in nonlinear wave mechanics.
    Waniewski, Jacek // Journal of Mathematical Physics; Jul86, Vol. 27 Issue 7, p1796 

    Einstein's equations in the Newman-Penrose formalism for vacuum, vacuum with cosmological constant, and electrovacuum fields are expressed as Cartan ideals. Two different prolongations of these ideals are obtained. These two types of prolonged ideals generalize previous prolongations for vacuum...

  • Soliton transformations for axially symmetric higher-dimensional gravity. II. Belinskii–Zakharov N-soliton transformations.
    Lee, S.-C. // Journal of Mathematical Physics; Apr87, Vol. 28 Issue 4, p901 

    The solutions of vacuum Einstein equations in 4+K dimensions with 2+K commuting Killing vectors under the Abelian Kaluza–Klein ansatz are considered. This system admits Belinskii–Zakharov-type soliton transformations. The explicit formulas for general N-soliton transformations are...

  • Perfect fluids satisfying a less than extremely relativistic equation of state.
    Xanthopoulos, Basilis C. // Journal of Mathematical Physics; Apr87, Vol. 28 Issue 4, p905 

    The Einstein perfect-fluid equations for a fluid with ‘‘energy density ε=pressure p+constant’’ equation of state are considered ab initio for space-times with two hypersurface orthogonal, spacelike, commuting Killing fields. Gauge conditions compatible with the field...

  • General exact solutions of Einstein equations for static perfect fluids with spherical symmetry.
    Berger, Sonia; Hojman, Roberto; Santamarina, Jorge // Journal of Mathematical Physics; Dec87, Vol. 28 Issue 12, p2949 

    The gravitational field equations for a spherical symmetric perfect fluid are completely solved. The general analytical solution obtained depends on an arbitrary function of the radial coordinate. As illustrations of the proposed procedure the exterior and interior Schwarzschild solutions are...

  • Solitonic solutions in the Kaluza–Klein–Jordan formalism as cosmological models in general relativity.
    Díaz, Mario C.; Gleiser, Reinaldo J.; Pullin, Jorge A. // Journal of Mathematical Physics; Jan1988, Vol. 29 Issue 1, p169 

    A new renormalization procedure for the solutions of Einstein’s field equations in d dimensions obtainable by the inverse scattering method (ISM) of Belinskii and Zakharov [Sov. Phys. JETP 48, 985 (1978)] is presented. It allows one to obtain families of diagonal metrics which, in...

  • Symmetries of Einstein’s field equations with a perfect fluid source as examples of Lie–Bäcklund symmetries.
    Stephani, H. // Journal of Mathematical Physics; Jul88, Vol. 29 Issue 7, p1650 

    The framework of Lie–Bäcklund (or generalized) symmetries is used to give a unifying view of some of the known symmetries of Einstein’s field equations for the vacuum or perfect fluid case (with a μ=p or a μ+3p=0 equation of state). These symmetries occur if space-time...

  • Symmetries of the self-dual Einstein equations. I. The infinite-dimensional symmetry group and its low-dimensional subgroups.
    Boyer, C. P.; Winternitz, P. // Journal of Mathematical Physics; May89, Vol. 30 Issue 5, p1081 

    This is the first of two papers in which the authors give a complete classification of symmetry reduced solutions of Plebanski’s potential equation for self-dual Einstein spaces. In this first part the infinite pseudogroup of symmetries of Plebanski’s equation is described, and the...

  • The gravitational field of a spinning pencil of light.
    Mitskievic, Nikolai Vsevolodovich; Kumaradtya, Krishnadeva K. // Journal of Mathematical Physics; May89, Vol. 30 Issue 5, p1095 

    An exact solution of Einstein’s equations in a vacuum (outside of singularities), belonging to Kundt’s class and Petrov type N, is interpreted as the metric of a spinning pencil of light (a linear source infinitely extended in one direction and moving with the speed of light). It...

  • The Riemann–Hilbert transformation for an approach to a representation of the Virasoro group.
    Li, Wei; Hou, Bo-yu // Journal of Mathematical Physics; Jun89, Vol. 30 Issue 6, p1198 

    In this paper, it is the intent to apply the Riemann–Hilbert transformation developed by Hauser and Ernst [J. Math. Phys. 21, 1126, 1418 (1980)] in providing a new representation of the Virasoro group. It is found that the Geroch group that acts on the solution space of the Einstein field...

  • Nonstatic charged spheres admitting a conformal Killing vector.
    Rago, H. // Journal of Mathematical Physics; Sep89, Vol. 30 Issue 9, p2110 

    Exact, nonstatic, spherically symmetric solutions of the Einstein-Maxwell equations are found for self-gravitating charged spheres under the assumption of the existence of a conformal Killing vector. Solutions are matched to the Reissner-Nordstrom metric and it is found that as a consequence of...

  • Spin-3/2 perturbations of algebraically special solutions of the Einstein–Maxwell equations.
    Torres del Castillo, G. F. // Journal of Mathematical Physics; Sep89, Vol. 30 Issue 9, p2114 

    The equations for the spin-3/2 perturbations of the solutions of the Einstein-Maxwell equations given by the linearized O (2) extended supergravity are considered. It is shown that for each geodetic and shear-free principal null direction of the background electromagnetic field there exists a...

  • Einstein–Maxwell equations and the groups of homothetic motion.
    Faridi, Abbas M. // Journal of Mathematical Physics; Feb90, Vol. 31 Issue 2, p401 

    The Einstein–Maxwell field equations for a source-free, non-null electromagnetic field are studied under the assumption of admitting a nontrivial homothetic conformal motion, generating a homothetic bivector which is also non-null. It is shown that a space-time, whether vacuum or not,...

  • Inflation in a spatially closed anisotropic universe.
    Ponce de León, J. // Journal of Mathematical Physics; Feb90, Vol. 31 Issue 2, p371 

    The effects of shear on the occurrence of inflation are studied on the basis of a simple model for a spatially closed universe which enters an inflationary era. It is assumed that the universe enters a vacuum-dominated phase in an abrupt transition that occurs everywhere at the same time. The...

  • A spherical collapse solution with neutrino outflow.
    Glass, E. N. // Journal of Mathematical Physics; Aug90, Vol. 31 Issue 8, p1974 

    A three-parameter family of solutions of Einstein’s field equations is given that represents a collapsing perfect fluid with outgoing neutrino flux. Solutions with ‘‘naked’’ singularities are exhibited. They can be forbidden by requiring pressure less than or...

  • The gravitational field of plane symmetric thick domain walls.
    Goetz, Guenter // Journal of Mathematical Physics; Nov90, Vol. 31 Issue 11, p2683 

    Exact solutions of Einstein’s equations for a scalar field with a potential V([uppercase_phi_synonym]) =V0 cos2(1-n) ([uppercase_phi_synonym]/f(n)) (0

  • On the linearization stability of the conformally (anti-) self-dual Einstein equations.
    Torre, C. G. // Journal of Mathematical Physics; Dec90, Vol. 31 Issue 12, p2983 

    The Einstein equations with a cosmological constant, when restricted to Euclidean space-times with anti-self-dual Weyl tensor, can be replaced by a quadratic condition on the curvature of an SU(2) (spin) connection. As has been shown elsewhere, when the cosmological constant is positive and the...

  • How solvable is (2+1)-dimensional Einstein gravity?
    Moncrief, Vincent // Journal of Mathematical Physics; Dec90, Vol. 31 Issue 12, p2978 

    In this paper, the relationship between Witten’s approach to the (2+1)-dimensional, vacuum Einstein equations (for spatially compact space-times) and the conventional Annowitt, Deser, and Misner (ADM) Hamiltonian approach is discussed. It is argued (especially for the space-times with...

  • Involutive systems of differential equations: Einstein’s strength versus Cartan’s degré d’arbitraire.
    Sué, Michael // Journal of Mathematical Physics; Feb91, Vol. 32 Issue 2, p392 

    Three new theorems relating Einstein’s notions of ‘‘strength’’ and ‘‘compatibility’’ to the field of the initial-value problem are presented. These theorems result (i) in a first proof of Matthews’ conjectures concerning this...

  • Exact solutions of Einstein’s equations for space-time with local rotational symmetry in which the Dirac equation separates.
    Jing, Jiliang // Journal of Mathematical Physics; May91, Vol. 32 Issue 5, p1334 

    The Einstein’s equations for space-time with local rotational symmetry in which the Dirac equation separates are studied. All possible solutions are exhibited for a fluid with negative pressure. Other solutions correspond to radiation and a stiff fluid.

  • Interaction of null dust clouds fronted by plane impulsive gravitational waves. II.
    Taub, A. H. // Journal of Mathematical Physics; May91, Vol. 32 Issue 5, p1322 

    This paper extends the earlier discussion of the types of energy-momentum tensors Tμν that can exist in the region of interaction of two colliding plane impulsive gravitational waves, each followed by a null dust cloud. Two additional types of tensors Tμν are discussed. For each of...

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