Stellar structure modeling in Ricci-inverse gravity with Tolman–Kuchowicz spacetime

Abstract

The primary objective of this research is to conduct an extensive investigation of stellar compact structures within the frame of the newly proposed Ricci-Inverse theory of gravity. The study utilizes the Tolman–Kuchowicz spacetime to explore these relativistic stars. In this work, we derive the modified field equations for a spherically symmetric line element with an isotropic matter distribution. To ensure physical validity, we consider appropriate expressions for the metric potentials i.e., ɛ=Br2+2ln(X) and ϑ=ln(1+ar2+br4). In order to determine the unknown parameters, we employ observational evidence from star models such as 4U1538−52, LMCX−4, EXO1785−248, 4U1820−30, and VelaX−1. Next, we examine and discuss the graphical behavior of several key parameters, including energy density and pressure, adiabatic index, equation of state, redshift function, and stability analysis. The observed behavior of these attributes aligns with accepted physical properties, and the emerging outcomes fall within the observed range. This demonstrates the viability of our proposed Ricci-Inverse gravity model.