Ingoing Eddington-Finkelstein Metric of an Evaporating Black Hole

Abstract

We present an approximate time-dependent metric in ingoing Eddington-Finkelstein coordinates for an evaporating nonrotating black hole as a first-order perturbation of the Schwarzschild metric, using the linearized back reaction from a realistic approximation to the stress-energy tensor for the Hawking radiation in the Unruh quantum state.

arXiv commentVersion published by Physical Review D, including 2018 data of Bardeen incorporated into improved results here, and also more discussion of the properties of the stress-energy tensors, such as showing for the first time that for a conformal massless scalar field, there is no timelike eigenvector anywhere outside the black hole, so the energy flux is outward for all observers of all velocities

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• Two-dimensional black holes in the limiting curvature theory of gravity
• Paradoxes before the paradox: surface gravity and the information loss problem
• Black holes as spherically-symmetric horizon-bound objects
• Matter and forces near physical black holes
• Maximal extension of the Schwarzschild metric: From Painlevé-Gullstrand to Kruskal-Szekeres
• Modeling black hole evaporative mass evolution via radiation from moving mirrors
• UV Dispersive Effects on Hawking Radiation
• Temporary Singularities and Axions: an analytic solution that challenges charge conservation
• On the dynamical 4D BTZ black hole solution in conformally invariant gravity
• Black holes and their horizons in semiclassical and modified theories of gravity