Some static spherically symmetric interior solutions of $f(R)$ gravity

Abstract

We have found some new exact static spherically symmetric interior solutions of metric $f(R)$ gravitational theories describing the equilibrium configuration of a star. Then the solution is matched to the exterior solution and thus gives a complete description of a star in $R^{1-n/2}$ theory.

To appear in General Relativity and Gravitation, 2011

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• Conserved Quantities in $f(R)$ Gravity via Noether Symmetry
• Generation of spherically symmetric metrics in $f\left(R\right)$ gravity
• New inhomogeneous universes in scalar-tensor and f(R) gravity
• Static Cylindrically Symmetric Interior Solutions in f(R) Gravity
• (Compactified) black branes in four dimensional f(R)-gravity
• Asymptotically flat vacuum solution in modified theory of Einstein's gravity
• Gravitational Dust Collapse in $f(R)$ Gravity
• Exact solutions in f(R) theory of gravity
• On static and spherically symmetric solutions of Starobinsky model
• Perturbative solutions of the $f(R)$-theory of gravity in a central gravitational field and some applications
• An f(R) model for dark matter: rotation curves and gravitational lensing
• Static and spherically symmetric vacuum spacetimes with non-expanding principal null directions in $f(R)$ gravity
• Nonstatic Reissner-Nordström metric in the perturbative $f(R)$ theory: Embedding in the background of the FLRW cosmology, uniqueness of solutions, the TOV equation
• Black Holes and Non-perturbative Gravitational Waves in $f(R)$ Gravity
• Charged spherically symmetric Taub-NUT black hole solutions in $f(R)$ gravity