Anisotropic fluid spheres in the framework of f (R, T) gravity theory

The main aim of this paper is to obtain analytic relativistic anisotropic spherical solutions in f(R, T) scenario. To do so we use modified Durgapal-Fuloria metric potential and the pressure anisotropy condition is imposed in order to obtain the effective anisotropic factor (Delta) over tilde. Besides, a notable and viable election on f(R, T) gravity formulation is taken. The choice of f (R, T) function modifies the matter sector only, including new ingredients to the physical parameters that characterize the model such as density, pressure, subliminal speeds of sound, surface redshift etc. We analyze all the physical and mathematical general requirements of the configuration taking M = 1.04M(circle dot) and varying chi from -0.1 to 0.1. It is shown by the graphical procedure that chi < 0 yields a more compact object in comparison when chi >= 0 (where chi = 0.0 corresponds to general relativity) and increases the value of the surface redshift. However, negative values of chi introduce in the system an attractive anisotropic force (inward) and the configuration is completely unstable (corroborated employing Abreu's criterion). Furthermore, the model in Einstein gravity theory presents cracking while for chi > 0 the system is fully stable. The relationship between effective radial pressure (p) over tilde (r) and effective density (rho) over tilde is discussed and obtained. This is achieved by establishing the corresponding equation of state. (C) 2020 Elsevier Inc. All rights reserved.