Abstract
In this work we analyze hydrostatic equilibrium configurations of neutron stars in a non-minimal geometry-matter coupling (GMC) theory of gravity. We begin with the derivation of the hydrostatic equilibrium equations for the f(R, L) gravity theory, where R and L are the Ricci scalar and Lagrangian of matter, respectively. We assume f(R,L)=R/2+[1+sigma R]L, with sigma constant. To describe matter inside neutron stars we assume a relativistic polytropic equation of state p=K rho ^{gamma }, with rho being the energy density, K and gamma = 5/3 being constants. We also consider the more realistic equation of state (EoS) known as SLy4, which is a Skyrme type one based on effective nuclear interaction. We show that in this theory it is possible to reach the mass of massive pulsars, such as PSR J2215 + 5135, for both equations of state. Also, results for mass-radius relation in GMC gravity are strongly dependent on the stiffness of the EoS.
Highlights
It is possible to merger geometry and matter in the same action
Magenta circles mark the maximum masses for each value of σ and we present the lines of the Buchdahl and Schwarzschild radius limits, and show that these limits can be surpassed in the geometrymatter coupling (GMC) theory
The achievement of evading the Big-Bang singularity was expected to be attained only through quantum gravity and, in this sense, GMC gravity models can figure as a great alternative until we derive the ultimate theory of quantum gravity
Summary
It is possible to merger geometry and matter in the same action. An enlightening discussion regarding this question was presented in [1], in which an action like. The f (R, L) gravity has two major advances in comparison with the other quoted modified theories of gravity: (1) The energy-momentum tensor of the f (R, L) gravity is covariantly conserved by using natural choices for the matter lagrangian and for any choice of the f (R, L) functional, this is frequently a problem within the f (R, T ) theory of gravity, (2) the junction with the exterior Schwarzschild solution is satisfied within the GMC model in f (R, L) gravity, which in turn is often an issue in f (R) models. We will investigate the hydrostatic equilibrium configurations of NSs, with particular equations of state, from a non-minimal GMC model which shall be presented in Sect.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
