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

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• 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