Spherically symmetric solutions of Einstein + non-polynomial gravities |
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Authors: | S. Deser Özgür Sarıoğlu Bayram Tekin |
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Affiliation: | (1) California Institute of Technology, Pasadena, CA 91125, USA;(2) Department of Physics, Brandeis University, Waltham, MA 02454, USA;(3) Department of Physics, Faculty of Arts and Sciences, Middle East Technical University, 06531 Ankara, Turkey |
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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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