Some splitting theorems for stably causal spacetime

Garcia-Rio, E
Kupeli, DN
We prove a splitting theorem for stably causal spacetimes and another splitting theorem for finitely compact spacetimes admitting a proper time synchronizable reference frame.


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...
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: