A new method to construct spacetimes with a spacelike circle action

2007/02/02 by Stefan Haesen, Haesen, Stefan, Francisco Palomo +3
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0702013

18 pages

arxiv created 2007/02/02 · arxiv updated 2009/12/01

Abstract

A new general procedure to construct realistic spacetimes is introduced. It is based on the null congruence on a time-oriented Lorentzian manifold associated to a certain timelike vector field. As an application, new examples of stably causal Petrov type D spacetimes which obey the timelike convergence condition and which admit an isometric spacelike circle action are obtained.

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