Hawking radiation with the dynamical horizon in the K-essence emergent Vaidya spacetime

Abstract

We study the Hawking radiation with the dynamical horizon in the K-essence Vaidya geometry. By considering the K-essence action to be of the Dirac-Born-Infeld variety, the physical spacetime to be a general static spheri- cally symmetric black hole, and by restricting the K-essence scalar field to be a function solely of the advanced or the retarded time, Manna et. al. have estab- lished the connection between the K-essence emergent gravity scenario and gen- eralizations of Vaidya spacetime. Based on modified definition of the dynamical horizon by Sawayama, we investigate the Hawking effect in the K-essence Vaidya Schwarzschild spacetime. Especially, we investigate the Hawking Radiation in the two ways, by using the dynamical horizon equation and using the tunneling for- malism. The results are different from the usual Vaidya spacetime geometry.