Evolution of axially and reflection symmetric source in energy–momentum squared gravity

This paper aims to investigate the effects of f(R, T) gravity on the dynamical evolution of axially and reflection symmetric anisotropic and dissipative fluid, where R is the scalar curvature and T= TT, with T being the stress–energy tensor. With a systematic structure, we investigate modified gravitational field and dynamical equations. In addition, we use the heat transport equation to analyze the thermodynamics of our problem. The Weyl tensor is utilized to evaluate a generalized version of scalar variables from the Riemann tensor. We investigate the influence of f(R, T) corrections on the dynamics of the gravitating source. We conclude that modified scalar variables bearing the effects of electric and magnetic components of the Weyl tensor play a vital role in the evolution of compact objects. We analyze that in geodesic and vorticity-free evolution, εKL=κ′2ΠKL, where κ′=κfR(1-2μfT2). This reveals that the physics is the same but the couplings of both theories (GR and f(R, T)) are different.