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arXiv · 1701.05023

Labeling spherically symmetric spacetimes with the Ricci tensor

Joan Josep Ferrando·Juan Antonio Sáez
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Abstract

We complete the intrinsic characterization of spherically symmetric solutions partially accomplished in a previous paper [Class.Quant.Grav. (2010) 27 205024]. In this approach we consider every compatible algebraic type of the Ricci tensor, and we analyze specifically the conformally flat case for perfect fluid and Einstein-Maxwell solutions. As a direct application we obtain the {\em ideal} labeling (exclusively involving explicit concomitants of the metric tensor) of the Schwarzschild interior metric and the Vaidya solution. The Stephani universes and some significative subfamilies are also characterized.

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Joan Josep Ferrando, Juan Antonio Sáez. 2017-01-18. Labeling spherically symmetric spacetimes with the Ricci tensor. https://doi.org/10.1088/1361-6382/aa525d

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