Citations with the tag: EINSTEIN field equations
Results 101 - 150
- 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 e=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 equations are...
- 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...
- Solitonic solutions in the Kaluza�Klein�Jordan formalism as cosmological models in general relativity.
D�az, 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 addition to...
- On self-similar Tolman models.
Maharaj, S. D. // Journal of Mathematical Physics; Jun88, Vol. 29 Issue 6, p1443
The self-similar spherically symmetric solutions of the Einstein field equation for the case of dust are identified. These form a subclass of the Tolman models. These self-similar models contain the solution recently presented by Chi [J. Math. Phys. 28, 1539 (1987)], thereby refuting the claim...
- Symmetries of Einstein�s field equations with a perfect fluid source as examples of Lie�B�cklund symmetries.
Stephani, H. // Journal of Mathematical Physics; Jul88, Vol. 29 Issue 7, p1650
The framework of Lie�B�cklund (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 �=p or a �+3p=0 equation of state). These symmetries occur if space-time admits one or...
- 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 symmetric....
- 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 conjugacy...
- 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 is shown...
- 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 higher...
- 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 corresponding Cauchy...
- The uniqueness of the Bekenstein black hole.
Xanthopoulos, Basilis C.; Zannias, Thomas // Journal of Mathematical Physics; Jul91, Vol. 32 Issue 7, p1875
The general static, spherically symmetric, asymptotically flat solution of the Einstein equations coupled to a conformal scalar field is determined; it depends on three free parameters. One of the parameters is eliminated by the requirement that the solution admits a smooth horizon and no naked...
- Nondiagonal double seed solutions and double soliton solution family of the Einstein equations.
Gao, Ya-Jun; Zhong, Zai-Zhe // Journal of Mathematical Physics; Jan1992, Vol. 33 Issue 1, p278
By using the double inverse scattering method, the problem of how to find new soliton solutions of the stationary axisymmetric vacuum field equation is studied. It is found that, for some kinds of seed solutions, the scattering wave functions can be directly obtained. Some examples of...
- Einstein gravity coupled to a massless conformal scalar field in arbitrary space-time dimensions.
Xanthopoulos, Basilis C.; Dialynas, Thanassis E. // Journal of Mathematical Physics; Apr92, Vol. 33 Issue 4, p1463
For space-times of arbitrary dimensionality two transformations are obtained that applied to any solution of the Einstein equations coupled to a minimally coupled scalar field construct a solution of the Einstein equations coupled to a conformal scalar field. The transformations are conformal...
- 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...
- Mass spectra from field equations. II. The electromagnetic contribution.
Good Jr., R.H. // Journal of Mathematical Physics; Feb95, Vol. 36 Issue 2, p707
Extends a method for finding a mass spectrum from a given field equation, to include the self-electromagnetic effect on the rest mass. Field Lagrangian; Field Hamiltonian and the basic equation; Special assumptions about the vector potential.
- Space-time defects.
Letelier, Patricio S.; Wang, Anzhong // Journal of Mathematical Physics; Jun95, Vol. 36 Issue 6, p3023
Discusses the use of the theory of distributions in Riemannian spaces to obtain exact solutions to the Einstein equations for space-times. Generation of metrics that represent space-time defects; Presentation of considerations for cylindrically, plane and axially symmetric thin shells.
- Tuning the properties of matter to any chosen dynamical behavior in cosmological models...
Magli, Giulio // Journal of Mathematical Physics; Jun95, Vol. 36 Issue 6, p3054
Focuses on the construction of the Einstein field equations governing Bianchi type I space-times in elastic media. Relativistic theory of elasticity; Characterization of the physical properties of the elastic medium; Energy density for the elastic field.
- 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.
- Relationship between the Spectral Densities of Einstein Coefficients for Absorption and Stimulated Emission: Physical Consequences.
Shalagin, A. M. // JETP Letters; 3/25/2002, Vol. 75 Issue 6, p253
The spectral densities of Einstein coefficients for absorption and stimulated emission in a two-level quantum system are not equal to each other beyond the absorption (emission) line if the homogeneous broadening caused by interaction with a thermostat is much larger than the natural width. In...
- 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...
- 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 equal to the density as a...
- 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 T�? 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 T�? are discussed. For each of the five...
- Stationary Bianchi type II perfect fluid models.
Nilsson, Ulf S.; Uggla, Claes // Journal of Mathematical Physics; May97, Vol. 38 Issue 5, p2611
Studies Einstein's field equations for stationary Bianchi type II models with perfect fluid source. Rewriting of the field equations as a system of autonomous first-order differential equations; Dimensionless variables introduced for which the reduced phase space is compact.
- Form invariance of differential equations in general relativity.
Chimento, Luis P. // Journal of Mathematical Physics; May97, Vol. 38 Issue 5, p2565
Studies the reduction of Einstein equations for several matter sources in Robertson-Walker and Bianchi I type metrics to a kind of second-order nonlinear ordinary differential equation. Generalized statistical mechanics for values; Linearization of the equation; Application of form invariance...
- 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.
- Rotating dust solutions of Einstein's equations with 3-dimensional symmetry groups. II. One....
Krasinski, Andrzej // Journal of Mathematical Physics; Jan1998, Vol. 39 Issue 1, p401
Part II. Investigates the rotating dust solutions of Einstein's equation that posses 3-dimensional symmetry groups. Extension of one Killing fields on the fields of velocity and rotation; Independence of the vectors on the velocity and rotation; Identification of classes of solutions in the...
- Similarity reduction for a class algebraically special perfect fluids.
Rainer, A.; Stephani, H. // Journal of Mathematical Physics; Feb99, Vol. 40 Issue 2, p897
Performs a complete symmetry analysis of the field equations for a class of perfect fluids. Use of the results for a symmetry reduction of the field equations and the construction of similarity solutions; Description of the reduced field equations.
- Static stringlike solutions in five-dimensional relativity. II.
Gravel, Pierre // Journal of Mathematical Physics; May2000, Vol. 41 Issue 5
In this paper we find five-dimensional static strings solutions to Einstein's equations in the context of the induced-matter approach to higher dimensional relativity. This is done by separating Einstein's equations for a metric depending on a radius and the extra coordinate. Extending previous...
- Towards the classification of static vacuum spacetimes with negative cosmological constant.
Chrusciel, Piotr T.; Simon, Walter // Journal of Mathematical Physics; Apr2001, Vol. 42 Issue 4
We present a systematic study of static solutions of the vacuum Einstein equations with negative cosmological constant which asymptotically approach the generalized Kottler ("Schwarzschild-anti-de Sitter") solution, within (mainly) a conformal framework. We show connectedness of conformal...
- Theory of high-frequency guided waves in a plasma-loaded waveguide.
Ganguli, A.; Akhtar, M.K.; Tarey, R.D. // Physics of Plasmas; Apr98, Vol. 5 Issue 4, p1178
Describes the theory of high-frequency guided waves in a plasma-loaded waveguide. Effects of finite electron/ion temperatures on wave dispersion; Discussion on the equations for the plasma axis; Use of vacuum solutions for field equations.
- 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.
- A Noncommutative Generalization of the Free-Field Yang�Mills Equations.
McCabe, Gordon // International Journal of Theoretical Physics; Feb2006, Vol. 45 Issue 2, p350
The purpose of this paper is to propose a noncommutative generalization of a gauge connection and the free-field Yang�Mills equations. The paper draws upon the techniques proposed by Heller et al. for the noncommutative generalization of the Einstein field equations.
- 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...
- Reduction of the Einstein equations in 2+1 dimensions to a Hamiltonian system over Teichm�ller space.
Moncrief, Vincent // Journal of Mathematical Physics; Dec89, Vol. 30 Issue 12, p2907
In this paper the ADM (Arnowitt, Deser, and Misner) reduction of Einstein�s equations for three-dimensional ��space-times�� defined on manifolds of the form S�R, where S is a compact orientable surface, is discussed. When the genus g of S is greater than unity it is shown how the...
- Null geodesics in the gravitational field of a rotating, radiating body.
Hadley, R. H.; Mallett, R. L. // Journal of Mathematical Physics; Mar1993, Vol. 34 Issue 3, p1007
A solution of the Einstein field equations for a rotating radiating body was presented by Carmeli and Kaye in 1977 [Ann. Phys. 103, 97 (1977)]. Their paper presented a new line element along with the corresponding energy-momentum tensor for the radiation field. The Newman�Penrose formalism [J....
- On a class of invariant coframe operators with application to gravity.
Itin, Yakov; Kaniel, Shmuel // Journal of Mathematical Physics; Sep2000, Vol. 41 Issue 9
Let a differential 4D-manifold with a smooth coframe field be given. Consider the operators on it that are linear in the second order derivatives and quadratic in the first order derivatives of the coframe, both with coefficients that depend on the coframe variables. The article exhibits the...
- 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)....
- Wavelike solutions to the Einstein equations coupled to neutrino and gauge fields.
Torres del Castillo, G. F. // Journal of Mathematical Physics; Nov86, Vol. 27 Issue 11, p2756
Starting from the plane-wave metric, solutions to the Einstein field equations coupled to a Weyl neutrino field and to a Yang�Mills field are found. These solutions can be superposed to yield a solution with both sources if the direct interaction between them is neglected. A solution to the...
- 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 are...
- The gravitational field of a charged, magnetized, accelerating, and rotating mass.
Garc�a D�az, Alberto; Bret�n Baez, Nora // Journal of Mathematical Physics; Mar1985, Vol. 26 Issue 3, p465
The explicit expression of a Petrov type G solution to the Einstein�Maxwell equations is given. This new solution is endowed with eight arbitrary parameters; mass, Newman�Unti�Tamburino (NUT) parameter, angular momentum, acceleration, electric and magnetic charges, and electric and...
- Effects of the shear viscosity on the character of cosmological evolution.
Huang, Wung-Hong // Journal of Mathematical Physics; Mar1990, Vol. 31 Issue 3, p659
Bianchi type I cosmological models are studied that contain a stiff fluid with a shear viscosity that is a power function of the energy density, such as ?=aen. These models are analyzed by describing the cosmological evolutions as the trajectories in the phase plane of Hubble functions. The...
- Exact model for a relativistic star.
Tikekar, Ramesh // Journal of Mathematical Physics; Oct90, Vol. 31 Issue 10, p2454
Assuming that the physical three-space in a relativistic superdense star has the geometry of a three-spheroid, a static spherically symmetric model based on an analytic closed-form solution of Einstein�s field equations is presented. Assuming the density of the order of 2�1014 g cm-3,...
- Shear-free perfect fluids in general relativity II. Aligned, Petrov type III space-times.
Carminati, J. // Journal of Mathematical Physics; Oct90, Vol. 31 Issue 10, p2434
Petrov type III, shear-free, perfect fluid solutions of the Einstein field equations, with a barotropic equation of state p=p(w) satisfying w+p[not_identically_equal_to_(3_lines_with_slashthrough)]0, are investigated. It is shown that if the acceleration of the fluid is orthogonal to the...
- 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 effective...
- Scalar field inhomogeneous cosmologies.
Feinstein, A.; Ibanez, J.; Labraga, P. // Journal of Mathematical Physics; Sep95, Vol. 36 Issue 9, p4962
Describes exact solutions for the Einstein field equations corresponding to inhomogeneous cosmologies with an exponential-potential scalar field. Discussion the properties related to generalized inflation and asymptotic behavior of the models.