Effects of non-minimal matter-geometry coupling on embedding class-one anisotropic solutions

This paper investigates some particular anisotropic starmodels in f (R, T, Q) gravity, where Q = R omega alpha T omega alpha. We adopt a standardmodel f(R, T, Q) = R + pi Q, where pi indicates a coupling constant. Wetake spherically symmetric spacetime and develop solutions to the modified field equations corresponding to different choices of the matter Lagrangian by applying 'embedding class-one' scheme. For this purpose, we utilize MIT bag model equation of state and investigate some physical aspects of compact models such as RXJ 1856-37, 4U 1820-30, Cen X-3, SAX J 1808.4-3658 and Her X-I. Weuse masses and radii of these stars and employ the vanishing radial pressure condition at the boundary to calculate the value of their respective bag constant B-c. Further, we fix pi = +/- 4 to analyze the behavior of resulting state variables, anisotropy, mass, compactness, surface redshift as well as energy bounds through graphical interpretation for each star model. Two different physical tests are performed to check the stability of the developed solutions. Weconclude that pi = -4 is more suitable choice for the considered modified model to obtain stable structures of the compact bodies.

Automated summary

This paper investigates particular anisotropic starmodels in f (R, T, Q) gravity. Spherically symmetric spacetime is considered and solutions to the modified field equations are developed. The physical aspects of compact models are investigated using the MIT bag model equation of state. The behavior of state variables, anisotropy, mass, compactness, surface redshift, and energy bounds are analyzed through graphical interpretation.