Gravitational collapse in generalized K-essence emergent Vaidya spacetime via f(R,T) gravity

This study investigates gravitational collapse in generalized emergent Vaidya spacetime using f(R,T) gravity within the K-essence theory framework. A Dirac-Born-Infeld Lagrangian determines the emergent metric, which differs conformally from the gravitational metric. The f(R,T) function represents the relationship between the emergent Ricci scalar and the trace of the emergent energy-momentum tensor. Certain f(R,T) selections lead to naked singularities from gravitational collapse, while others yield accelerating universes driven by dark energy. The study reveals the existence of positive and negative masses, interpretable as a gravitational dipole. K-essence theory potentially acts as both a dark energy model and a gravitational theory.

Arijit Panda, Goutam Manna, Saibal Ray, Maxim Khlopov, Md Rabiul Islam