Killing-Yano tensors in spaces admitting a hypersurface orthogonal Killing vector

Garfinkle, David; Glass, E. N.
March 2013
Journal of Mathematical Physics;Mar2013, Vol. 54 Issue 3, p032501
Academic Journal
Methods are presented for finding Killing-Yano tensors, conformal Killing-Yano tensors, and conformal Killing vectors in spacetimes with a hypersurface orthogonal Killing vector. These methods are similar to a method developed by the authors for finding Killing tensors. In all cases one decomposes both the tensor and the equation it satisfies into pieces along the Killing vector and pieces orthogonal to the Killing vector. Solving the separate equations that result from this decomposition requires less computing than integrating the original equation. In each case, examples are given to illustrate the method.


Related Articles

  • Parametric manifolds. II. Intrinsic approach. Boersma, Stuart; Dray, Tevian // Journal of Mathematical Physics;Mar1995, Vol. 36 Issue 3, p1394 

    Presents an intrinsic approach to understanding the concept of parametric manifold, a manifold on which all tensor fields depend on an additional parameter together with a parametric structure. Introduction of a geometric object called deficiency which behaves like a torsion and which measures...

  • On the geometry of normal locally conformal almost cosymplectic manifolds. Kirichenko, V.; Kharitonova, S. // Mathematical Notes;Feb2012, Vol. 91 Issue 1/2, p34 

    Normal locally conformal almost cosymplectic structures (or [Figure not available: see fulltext.]-structures) are considered. A full set of structure equations is obtained, and the components of the Riemannian curvature tensor and the Ricci tensor are calculated. Necessary and sufficient...

  • Geometry of Energy and Bienergy Variations between Riemannian Manifolds. CHERIF, AHMED MOHAMED; DJAA, MUSTAPHA // Kyungpook Mathematical Journal;Sep2015, Vol. 55 Issue 3, p715 

    In this note, we extend the definition of harmonic and biharmonic maps via the variation of energy and bienergy between two Riemannian manifolds. In particular we present some new properties for the generalized stress energy tensor and the divergence of the generalized stress bienergy.

  • Equivalence of the spinor and tensor methods in the positive energy problem. Pelykh, Volodymyr // Journal of Mathematical Physics;Aug2000, Vol. 41 Issue 8 

    We prove that nontrivial solutions of the Sen-Witten equation with asymptotically flat data set on maximal hypersurface does not equal zero at any point of this hypersurface. On this basis we ascertain the equivalence of Witten's spinor method and Nester's tensor method in the positive energy...

  • Universal Star Products. Ammar, Mourad; Chloup, Véronique; Gutt, Simone // Letters in Mathematical Physics;May2008, Vol. 84 Issue 2/3, p199 

    One defines the notion of universal deformation quantization: given any manifold M, any Poisson structure Λ on M and any torsionfree linear connection ∇ on M, a universal deformation quantization associates to this data a star product on ( M, Λ) given by a series of bidifferential...

  • Characterisation and representation of non-dissipative electromagnetic medium with two Lorentz null cones. Dahl, Matias F. // Journal of Mathematical Physics;Jan2013, Vol. 54 Issue 1, p011501 

    We study Maxwell's equations on a 4-manifold N with a medium that is non-dissipative and has a linear and pointwise response. In this setting, the medium can be represented by a suitable [formula]-tensor on the 4-manifold N. Moreover, in each cotangent space on N, the medium defines a Fresnel...

  • On Computer-Aided Solving Differential Equations and Studying Stability of Markets. Leites, D. // Journal of Mathematical Sciences;Mar2006, Vol. 133 Issue 4, p1464 

    For any nonholonomic manifold, i.e., a manifold with nonintegrable distribution, we define an analog of the Riemann curvature tensor and refer to Grozman's package SuperLie with the help of which the tensor had been computed in several cases. Being an analog of the usual curvature tensor, this...

  • Projective Connections and the Algebra of Densities. George, Jacob // AIP Conference Proceedings;11/18/2008, Vol. 1079 Issue 1, p142 

    Projective connections first appeared in Cartan’s papers in the 1920’s. Since then they have resurfaced periodically in, for example, integrable systems and perhaps most recently in the context of so called projectively equivariant quantisation. We recall the notion of projective...

  • The bounds for the squared norm of the second fundamental form of minimal submanifolds of Sn+p. Liu Jiancheng; Zhang Qiuyan // Balkan Journal of Geometry & Its Applications;2007, Vol. 12 Issue 2, p64 

    The aim of this paper is to study some properties of compact minimal submanifold M of the standard Euclidean sphere Sn+p with flat normal connection. We will give a lower bound for the squared form S of the second fundamental form h of M in terms of the gap n - λ1 when S is constant, where...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics