6533b85cfe1ef96bd12bc9d9
RESEARCH PRODUCT
Junction conditions in Palatinif(R) gravity
Diego Rubiera-garciaGonzalo J. OlmoGonzalo J. Olmosubject
PhysicsFísica-Modelos matemáticosPhysics and Astronomy (miscellaneous)010308 nuclear & particles physicsGeneral relativityFOS: Physical sciencesPolytropic processGeneral Relativity and Quantum Cosmology (gr-qc)Directional derivative01 natural sciencesDomain (mathematical analysis)General Relativity and Quantum CosmologyMomentumGeneral Relativity and Quantum CosmologyHypersurface0103 physical sciencesFísica matemáticaf(R) gravityTensor010306 general physicsMathematical physicsdescription
We work out the junction conditions for $f(R)$ gravity formulated in metric-affine (Palatini) spaces using a tensor distributional approach. These conditions are needed for building consistent models of gravitating bodies with an interior and exterior regions matched at some hypersurface. Some of these conditions depart from the standard Darmois-Israel ones of General Relativity and from their metric $f(R)$ counterparts. In particular, we find that the trace of the stress-energy momentum tensor in the bulk must be continuous across the matching hypersurface, though its normal derivative need not to. We illustrate the relevance of these conditions by considering the properties of stellar surfaces in polytropic models, showing that the range of equations of state with potentially pathological effects is shifted beyond the domain of physical interest. This confirms, in particular, that neutron stars and white dwarfs can be safely modelled within the Palatini $f(R)$ framework.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-07-08 |