The Semi-Classical Back Reaction to Black Hole Evaporation

Abstract

The semi-classical back reaction to black hole evaporation (wherein the renormalized energy momentum tensor is taken as source of Einstein's equations) is analyzed in detail. It is proven that the mass of a Schwarzshild black hole decreases according to Hawking's law $dM/dt=-C/M^2$ where $C$ is a constant of order one and that the particles are emitted with a thermal spectrum at temperature $1/8\pi M(t)$.

10 pages, LATEX

References in corpus (2)

• Black Hole Evaporation in the Presence of a Short Distance Cutoff
• The Internal Geometry of an Evaporating Black Hole

Cited by in corpus (36)

• Analogue Gravity
• Fate of gravitational collapse in semiclassical gravity
• Stochastic Gravity: Theory and Applications
• Stochastic Gravity: Theory and Applications
• Hawking Radiation from Acoustic Black Holes, Short Distance and Back-Reaction Effects
• How the Change in Horizon Area Drives Black Hole Evaporation
• Quantum metric fluctuations and Hawking radiation
• Stochastic Gravity
• Stochastic Gravity: A Primer with Applications
• Improved Black Hole Fireworks: Asymmetric Black-Hole-to-White-Hole Tunneling Scenario
• On the volume inside old black holes
• Metric Fluctuation Corrections to Hawking Radiation
• Metric fluctuations of an evaporating black hole from back reaction of stress tensor fluctuations
• Entropy in the interior of a black hole and thermodynamics
• Beyond the semi-classical description of black hole evaporation
• Radiation from collapsing shells, semiclassical backreaction and black hole formation
• Noise Kernel and Stress Energy Bi-Tensor of Quantum Fields in Hot Flat Space and Gaussian Approximation in the Optical Schwarzschild Metric
• Unruh Effect for General Trajectories
• Fluctuations of an evaporating black hole from back reaction of its Hawking radiation: Questioning a premise in earlier work
• Nonlinearities induced by parametric resonance in effectively 1D atomic Bose condensates
• Grey-body Factors, Irreversibility and Multiple Island Saddles
• Semiclassical Methods for Hawking Radiation from a Vaidya Black Hole
• Infinite Volume of Noncommutative Black Hole Wrapped by Finite Surface
• Gravitationally produced Dark Matter and primordial black holes
• $<T_{\nu }^{\mu }{>}_{ren}$ of the quantized fields in the Unruh state in the Schwarzschild spacetime
• Hawking Radiation from a Vaidya Black Hole: A Semi-Classical Approach and Beyond
• Semiclassical environment of collapsing shells
• Stochastic Gravity: Beyond Semiclassical Gravity
• Semi-Classical Backreaction on Asymptotically Anti-de Sitter Black Holes
• Distance between collapsing matter and trapping horizon in evaporating black holes
• Back Reaction from Trace Anomaly in RN-blackholes Evaporation
• A divergent volume for black holes calls for no "firewall"
• Incompressible fluid inside an astrophysical black hole?
• Volumetric Maxima to be Attained by a Nonstatic Black Hole
• Neutrino Emission and Plasma Heating from Primordial Black Holes: An Improved Approach to $N_{\mathrm{eff}}$ Constraints
• Hawking atmosphere of anti-de Sitter black holes