6533b861fe1ef96bd12c45f9
RESEARCH PRODUCT
Interior spacetimes of stars in Palatinif(R)gravity
Kimmo KainulainenVappu ReijonenDaniel Sunhedesubject
PhysicsNuclear and High Energy PhysicsGeneral relativityAstrophysics (astro-ph)Dark matterFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)AstrophysicsGeneral Relativity and Quantum CosmologyCosmologyMass formulaGravitationGeneral Relativity and Quantum CosmologyStarsClassical mechanicsStellar dynamicsf(R) gravityMathematical physicsdescription
We study the interior spacetimes of stars in the Palatini formalism of f(R) gravity and derive a generalized Tolman-Oppenheimer-Volkoff and mass equation for a static, spherically symmetric star. We show that matching the interior solution with the exterior Schwarzschild-De Sitter solution in general gives a relation between the gravitational mass and the density profile of a star, which is different from the one in General Relativity. These modifications become neglible in models for which $\delta F(R) \equiv \partial f/\partial R - 1$ is a decreasing function of R however. As a result, both Solar System constraints and stellar dynamics are perfectly consistent with $f(R) = R - \mu^4/R$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-11-25 | Physical Review D |