Spherically symmetric solutions of Einstein plus non-polynomial gravities

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.

Citation Formats
S. Deser, B. Ö. Sarıoğlu, and B. Tekin, “Spherically symmetric solutions of Einstein plus non-polynomial gravities,” GENERAL RELATIVITY AND GRAVITATION, vol. 40, no. 1, pp. 1–7, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35106.