Exact solutions in f(R) theory of gravity

Abstract

We find a new method for looking for the static and spherically symmetric solutions in $F(R)$ theory of gravity. With this method, a number of new solutions in terms of the analytic functions are obtained. We hope this investigation may be of some help in the searching for some other solutions in $F(R)$ theory of gravity.

8 pages, 2 figures,accepted by GRG

References in corpus (11)

• Wormhole geometries in f(R) modified theories of gravity
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Black Holes in Higher-Derivative Gravity
• Spherical symmetry in $f(R)$-gravity
• Spherically Symmetric Solutions in Higher-Derivative Gravity
• Collapsing spherical stars in f(R) gravity
• Cylindrical solutions in metric f(R) gravity
• Spherically symmetric spacetimes in f(R) gravity theories
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• Exact solutions of three dimensional black holes: Einstein gravity vs F(R) gravity
• Thermodynamics of topological black holes in $R^2$ gravity

Cited by in corpus (12)

• Higher order corrected thermodynamics and statistics of Kerr-Newman-Godel black hole
• Non-trivial black hole solutions in $f(R)$ gravitational theory
• Wormhole Geometry and Noether Symmetry in f(R) Gravity
• Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land
• Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
• Infinitely degenerate exact Ricci-flat solutions in f(R) gravity
• Black Holes with Electric and Magnetic Charges in $F(R)$ Gravity
• Vacuum solutions around spherically symmetric and static objects in the Starobinsky model
• On static and spherically symmetric solutions of Starobinsky model
• Static and spherically symmetric vacuum spacetimes with non-expanding principal null directions in $f(R)$ gravity
• Symmetry Transformations in Cosmological and Black Hole Analytical Solutions
• Eisenhart-Duval lift, Nonlocal Conservation laws and Painlevé Analysis in Scalar field Cosmology