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arXiv · 0705.1669

Spherically symmetric solutions of Einstein + non-polynomial gravities

S. Deser·O. Sarioglu·B. Tekin
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Abstract

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 cosmological constant, Maxwell source and Gauss-Bonnet terms are also considered.

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S. Deser, O. Sarioglu, B. Tekin. 2007-05-11. Spherically symmetric solutions of Einstein + non-polynomial gravities. https://doi.org/10.1007/s10714-007-0508-1

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