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A new method to construct spacetimes with a spacelike circle action

Stefan Haesen·Francisco Palomo·Alfonso Romero
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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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Stefan Haesen, Francisco Palomo, Alfonso Romero. 2007-02-02. A new method to construct spacetimes with a spacelike circle action. https://arxiv.org/abs/gr-qc/0702013

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