Dynamical horizon of evaporating black hole in Vaidya spacetime

Abstract

We consider how the mass of the black hole decreases by the Hawking radiation in the Vaidya spacetime, using the concept of dynamical horizon equation, proposed by Ashtekar and Krishnan. Using the formula for the change of the dynamical horizon, we derive an equation for the mass incorporating the Hawking radiation. It is shown that final state is the Minkowski spacetime in our particular model.

6 pages, 2 figures

References in corpus (2)

• Formation and evaporation of non-singular black holes
• Isolated and dynamical horizons and their applications

Cited by in corpus (12)

• Surrounded Vaidya Solution by Cosmological Fields
• Quasinormal mode characterization of evaporating mini black holes
• Evaporation of dynamical horizon with the Hawking temparature in the {\bf K-}essence emergent Vaidya spacetime
• Quasi-Local Black Hole Horizons: Recent Advances
• Unified First Law and Thermodynamics of Dynamical Black Hole in n-dimensional Vaidya Spacetime
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
• Geodesic structure of generalized Vaidya spacetime through the K-essence
• Vaidya Spacetime in the Diagonal Coordinates
• On maximal analytical extension of the Vaidya metric
• Thermodynamics of Black Holes, far from Equilibrium
• Particle production rate for a dynamical system using the path integral approach
• Generalized Vaidya Spacetime in Cotton and Conformal Killing Theories