Spherically symmetric solutions of Einstein + non-polynomial gravities

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.

6 pages, no figures, REVTeX 4

References in corpus (3)

• Shortcuts to high symmetry solutions in gravitational theories
• Schwarzschild and Birkhoff a la Weyl
• Curvature invariants of static spherically symmetric geometries

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