Some splitting theorems for stably causal spacetime

Date

1998-01-01

Author

Garcia-Rio, E
Kupeli, DN

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

245
views

0
downloads

We prove a splitting theorem for stably causal spacetimes and another splitting theorem for finitely compact spacetimes admitting a proper time synchronizable reference frame.

Subject Keywords

Physics and Astronomy (miscellaneous)

URI

https://hdl.handle.net/11511/64592

Journal

GENERAL RELATIVITY AND GRAVITATION

DOI

https://doi.org/10.1023/a:1018816815433

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Shortcuts to high symmetry solutions in gravitational theories Deser, S; Tekin, Bayram (IOP Publishing, 2003-11-21) We apply the Weyl method, as sanctioned by Palais' symmetric criticality theorems, to obtain those-highly symmetric-geometries amenable to explicit solution, in generic gravitational models and dimension. The technique consists of judiciously violating the rules of variational principles by inserting highly symmetric, and seemingly gauge fixed, metrics into the action, then varying it directly to arrive at a small number of transparent, indexless, field equations. Illustrations include spherically and axial...
New approach to conserved charges of generic gravity in AdS spacetimes Altas, Emel; Tekin, Bayram (American Physical Society (APS), 2019-02-12) Starting from a divergence-free rank-4 tensor of which the trace is the cosmological Einstein tensor, we give a construction of conserved charges in Einstein's gravity and its higher derivative extensions for asymptotically anti-de Sitter spacetimes. The current yielding the charge is explicitly gauge invariant, and the charge expression involves the linearized Riemann tensor at the boundary. Hence, to compute the mass and angular momenta in these spacetimes, one just needs to compute the linearized Riemann...
Spherically symmetric solutions of Einstein plus non-polynomial gravities Deser, S.; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (Springer Science and Business Media LLC, 2008-01-01) We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to maintain the (first) derivative order of the Einstein equations in Schwarzschild gauge. Generically, the solutions exhibit both horizons and a singularity at the origin, except for one model that forbids spherical symmetry altogether. Extensions to arbitrary dimension with a cos...
Some higher-dimensional vacuum solutions Gurses, M; Karasu, Atalay (IOP Publishing, 2001-02-07) We study an even-dimensional manifold with a pseudo-Riemannian metric with arbitrary signature and arbitrary dimensions. We consider the Ricci flat equations and present a procedure to construct solutions to some higher(even-) dimensional Ricci flat field equations from the four-dimensional Ricci flat metrics. When the four-dimensional Ricci flat geometry corresponds to a colliding gravitational vacuum spacetime our approach provides an exact solution to the vacuum Einstein field equations for colliding gra...
WEYL INVARIANT TENSORS IN ODD DIMENSIONS DERELI, T; MUKHERJEE, M; TUCKER, RW (IOP Publishing, 1988-01-01) A set of symmetric, traceless, divergence-free differential forms, Weyl covariant under a conformal scaling of a (pseudo-)Riemannian metric, is constructed in 4n-1 dimensions.

Citation Formats

E. Garcia-Rio and D. Kupeli, “Some splitting theorems for stably causal spacetime,” GENERAL RELATIVITY AND GRAVITATION, pp. 35–44, 1998, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64592.