LTB geometry with tilted and nontilted congruences in f(R, T) gravity

摘要

We investigate the role of tilted and nontilted congruence in the dynamics of dissipative Lemaitre-Tolman-Bondi spacetime in f(R, T) gravity. We consider imperfect fluid with its congruences observed by tilted observer and dust fluid filled with LTB geometry observed by the nontilted observer. In order to elaborate the dynamical features of two congruences, we consider well-known f(R, T) models and develop relationships between tilted and nontilted dynamical variables. We evaluate the nonzero divergence of energy-momentum tensor for tilted congruence and transport equation for the system in f(R, T) gravity. We have also checked the instability regimes for nontilted congruence.