Spherically symmetric solutions of Einstein + non-polynomial gravities

Details Spherically symmetric solutions of Einstein + non-polynomial gravities Spherically symmetric solutions of Einstein + non-polynomial gravities

2007-05-11

arxiv.org/abs/0705.1669v1

Gen.Rel.Grav.40:1-7,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, no figures, REVTeX 4

Scientific paper

10.1007/s10714-007-0508-1

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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