Stellar structure in $f(R,T)$ gravity: some exact solutions

Abstract

We find some exact solutions for constant-density and quark matter equations of state in stellar structure models framed within the $f(R,T)=R+\lambda {\kappa }^{2}T$ theory of gravity, where $R$ is the curvature scalar, $T$ the trace of the stress-energy tensor, and $\lambda$ some constant. These solutions correspond to specific values of the constant $\lambda$, and represent different compactness states of the corresponding stars, though only those made of quark matter can be regarded as physical. The latter modify the compactness (Buchdahl) limit of neutron stars upwards for $\lambda >0$ until saturating the one of black holes. Our results show that it is possible to find useful insights on stellar structure in this class of theories, a fact that could be used for obtaining constraints on limiting masses such as the minimum hydrogen burning mass.

arXiv comment6 pages, 1 figure, revtex style

References in corpus (30)

• f(R) theories
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Testing General Relativity with Present and Future Astrophysical Observations
• Gravity coupled with matter and foundation of non-commutative geometry
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Healthy theories beyond Horndeski
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• Reconstruction of some cosmological models in f(R,T) gravity
• f(R) Gravity and scalar-tensor theory
• Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity
• Quark stars admitting a one-parameter group of conformal motions
• Dynamics of scalar perturbations in f(R,T) gravity
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• Scalar-tensor theories and modified gravity in the wake of GW170817
• Stellar structure models in modified theories of gravity: lessons and challenges
• Dark Matter From f(R,T) Gravity
• Gravastars in $f(R,\mathcal{T})$ gravity
• Finsler geometric extension of Einstein gravity
• Hydrogen Burning in Low Mass Stars Constrains Alternative Gravity Theories
• Extended vector-tensor theories
• Testing Gravity Using Dwarf Stars
• Radial oscillations and stability of compact stars in $f(R,T)=R+2\beta T$ gravity
• Scalar-Vector-Tensor Gravity Theories
• Minimum main sequence mass in quadratic Palatini $f(\mathcal{R})$ gravity
• Charged strange star in $f(R,T)$ gravity with linear equation of state
• Charged quark stars in $f(R,T)$ gravity
• Extended Tolman III and VII solutions in $f(\mathcal{R},T)$ gravity: Models for neutron stars and supermassive stars
• Parameterized non-relativistic limit of stellar structure equations in Ricci-based gravity theories
• Possible existence of stable compact stars in $\kappa (\mathcal{R},\mathcal{T})-$gravity