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Circular stationary cyclic symmetric spacetimes; conformal flatness

Alberto A. Garcia·Cuauhtemoc Campuzano
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Abstract

A subclassification of stationary spacetimes, endowed with one timelike and one spacelike Killing vectors, i.e., Petrov $G{_2}I$ on $T_2$ spaces, is proposed. Special attention deserves the Collison's theorem [1] and the branch of metrics circularly cyclicly (axially) symmetric possessing additionally the conformal flatness property reported by Garcia and Campuzano [2].

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Alberto A. Garcia, Cuauhtemoc Campuzano. 2003-10-10. Circular stationary cyclic symmetric spacetimes; conformal flatness. https://arxiv.org/abs/gr-qc/0310054

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