Anisotropic spheres via embedding approach in R plus βR2 gravity with matter coupling

The manifesto of the current article is to investigate the compact anisotropic matter profiles in the context of one of the modified gravitational theories, known as f (R, T) gravity, where R is a Ricci Scalar and T is the trace of the energy-momentum tensor. To achieve the desired goal, we capitalized on the spherical symmetric space-time and utilized the embedding class-1 solution via Karmarkar's condition in modeling the matter profiles. To calculate the unidentified constraints, Schwarzschild exterior solution along with experimental statistics of three different stars LMC X-4, Cen X-3, and EXO 1785-248 are taken under consideration. For the evaluation of the dynamical equations, a unique model f (R, T) = R+ beta R-2+ lambda T has been considered, with beta and lambda being the real constants. Different physical aspects have been exploited with the help of modified dynamical equations. Conclusively, all the stars under observations are realistic, stable, and are free from all singularities. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

This article investigates compact anisotropic matter profiles in the context of f (R, T) gravity, utilizing spherical symmetric space-time and Karmarkar's condition. By considering Schwarzschild exterior solution and experimental statistics of three different stars, it concludes that all observed stars are realistic, stable, and free from singularities.