Relativistic Stars in dRGT Massive Gravity

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.

15 pages, 5 figures, PRD version

References in corpus (15)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Shapiro delay measurement of a two solar mass neutron star
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Resummation of Massive Gravity
• Beyond the Cosmological Standard Model
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Extreme neutron stars from Extended Theories of Gravity
• Nonperturbative models of quark stars in $f(R)$ gravity
• Analytical representations of unified equations of state of neutron-star matter
• On couplings to matter in massive (bi-)gravity
• Slowly rotating neutron and strange stars in $R^2$ gravity
• Ghosts & Matter Couplings in Massive (bi-&multi-)Gravity
• Rapidly rotating neutron stars in $R$-squared gravity

Cited by in corpus (31)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Stellar structure models in modified theories of gravity: lessons and challenges
• The realistic models of relativistic stars in f(R) = R + alpha R^2 gravity
• Black holes in massive gravity as heat engines
• Rotating regular black holes in conformal massive gravity
• Deflection of light by black holes and massless wormholes in massive gravity
• Neutron stars structure in the context of massive gravity
• Hybrid metric-Palatini stars
• Black hole solutions in Gauss-Bonnet-massive gravity in the presence of power-Maxwell field
• Fitting rotation curve of galaxies by de Rham-Gabadadze-Tolley massive gravity
• White dwarfs in de Rham-Gabadadze-Tolley like massive gravity
• Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity
• Simple Black Holes with Anisotropic Fluid
• Black holes in dRGT massive gravity with the signature of EHT observations of M87*
• Novel relations in massive gravity at Hawking-Page transition
• Compact Star in General $F(R)$ Gravity: Inevitable Degeneracy Problem and Non-Integer Power Correction
• Mass - radius ratio bounds for compact objects in Lorentz-violating dRGT Massive Gravity theory
• Quark stars in massive gravity might be candidates for the mass gap objects
• Properties of white dwarfs in Einstein-$\Lambda$ gravity
• Constraining Quadratic $f(R)$ Gravity from Astrophysical Observations of the Pulsar J0704+6620
• Thermodynamics and reentrant phase transition for logarithmic nonlinear charged black holes in massive gravity
• Critical Heat Engines in Massive Gravity
• The structure of hybrid neutron star in Einstein-$\Lambda$ gravity
• Screened and Unscreened Solutions for Relativistic Star in de Rham-Gabadadze-Tolley (dRGT) Massive Gravity
• Relativistic stars in mass-varying massive gravity
• Entropy spectrum of charged BTZ black holes in massive gravity's rainbow
• Static spheres and Aschenbach effect for black holes in massive gravity
• Strange quark star in dilaton gravity
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity
• Topological charge and black hole photon spheres in massive gravity
• Relativistic star solutions in Mass-varying Massive Gravity with a diagonal metric