Spherically symmetric solutions of Einstein plus non-polynomial gravities

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Deser S., Sarioglu O., TEKİN B.

GENERAL RELATIVITY AND GRAVITATION, vol.40, no.1, pp.1-7, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 40 Issue: 1
  • Publication Date: 2008
  • Doi Number: 10.1007/s10714-007-0508-1
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-7
  • Middle East Technical University Affiliated: Yes


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.