Evaporation of dynamical horizon with the Hawking temparature in the {\bf K-}essence emergent Vaidya spacetime

TL;DR

This paper investigates the evaporation process of a K-essence emergent Vaidya black hole by analyzing Hawking temperature and mass loss, revealing deviations from standard Vaidya spacetime due to K-essence effects.

Contribution

It introduces a novel analysis of dynamical horizon evaporation in K-essence Vaidya spacetime using modified dynamical horizon equations and tunneling formalism.

Findings

Hawking temperature calculated via tunneling formalism.

Mass-loss due to Hawking radiation analyzed.

Deviations from standard Vaidya spacetime observed.

Abstract

In the {\bf K-}essence Vaidya Schwarzschild spacetime, we apply the dynamical horizon equation to measure the mass-loss due to Hawking radiation and the tunneling formalism (Hamilton-Jacobi method) to calculate the hawking temperature. Assuming the Dirac-Born-Infeld kind of non-standard action for the {\bf K-}essence here, the background physical spacetime is a static spherically symmetric black hole, and we constrain the {\bf K-}essence scalar field to be a function only of either forward or backward time. The {\bf K-}essence emergent gravity and the generalizations of Vaidya spacetime have been linked by Manna et al. In this paper, we use Sawayama's modified description of the dynamical horizon to show that the obtained findings deviate from the standard Vaidya spacetime geometry.