Relativistic Stars in dRGT Massive Gravity

TL;DR

This paper investigates how relativistic stars behave in dRGT massive gravity, finding small deviations from General Relativity that could be detectable with future astrophysical observations.

Contribution

It provides analytical and numerical analysis of relativistic stars within dRGT massive gravity, deriving modified TOV equations and comparing results with GR and $F(R)$ gravity.

Findings

Small deviations in density profiles and mass-radius relations from GR.

Potential observability of deviations in future astrophysical measurements.

Analytical and numerical solutions for quark and neutron stars.

Abstract

We study relativistic stars in the simplest model of the de Rham-Gabadadze-Tolley massive gravity which describes the massive graviton without ghost propagating mode. We consider the hydrostatic equilibrium, and obtain the modified Tolman-Oppenheimer-Volkoff equation and the constraint equation coming from the potential terms in the gravitational action. We give analytical and numerical results for quark and neutron stars and discuss the deviations compared with General Relativity and $F(R)$ gravity. It is shown that theory under investigation leads to small deviation from the General Relativity in terms of density profiles and mass-radius relation. Nevertheless, such deviation may be observable in future astrophysical probes.