Insights and possible resolution to the information loss paradox via the tunneling picture

Abstract

This paper investigates the information loss paradox in the WKB/tunneling picture of Hawking radiation. In the tunneling picture one can obtain the tunneling amplitude to all orders in $\hslash$. However all terms beyond the lowest, semi-classical term involve unknown constants. Despite this we find that one can still arrive at interesting restrictions on Hawking radiation to all orders in $\hslash$: (i) Taking into account only quantum corrections the spectrum remains thermal to all orders. Thus quantum corrections by themselves will not resolve the information loss paradox. (ii) The first quantum correction give a temperature for the radiation which goes to zero as the mass of the black hole goes to zero. Including higher order corrections changes this nice result of the first order corrections. (iii) Finally we show that by taking both quantum corrections and back reaction into account it is possible under specific conditions to solve the information paradox by having the black hole evaporate completely with the information carried away by the correlations of the outgoing radiation.

16 pages revtex, 4 figures. The formula for temperature is corrected. Main conclusion about the possible resolution to information loss paradox unchanged. Erratum to be published JHEP

References in corpus (10)

• Non-commutative geometry inspired higher-dimensional charged, black holes
• Temporal contribution to gravitational WKB-like calculations
• Subtleties in the quasi-classical calculation of Hawking radiation
• Quantum Tunneling and Trace Anomaly
• Thermal radiation of various gravitational backgrounds
• Corrected entropy of BTZ black hole in tunneling approach
• Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method
• Problems with Tunneling of Thin Shells from Black Holes
• The decay-time of non-commutative micro-black holes
• Corrected Entropy of Friedmann-Robertson-Walker Universe in Tunneling Method

Cited by in corpus (18)

• Effects of quantum gravity on black holes
• Exact Hawking Radiation of Scalars, Fermions, and Bosons Using the Tunneling Method Without Back-Reaction
• Back reaction, emission spectrum and entropy spectroscopy
• Thermodynamics and logarithmic corrections of symmergent black holes
• Quantum Tunneling and Quasinormal Modes in the Spacetime of Alcubierre Warp Drive
• Hawking radiation, chirality, and the principle of effective theory of gravity
• The information recovery problem
• Thermodynamic phase transition based on the non-singular temperature
• Planck-scale nonthermal correlations in a noncommutative geometry inspired Vaidya black hole
• Quantum Tunneling of Spin-1 Particles from a 5D Einstein-Yang-Mills-Gauss-Bonnet Black Hole Beyond Semiclassical Approximation
• Corrected entropy of the rotating black hole solution of the new massive gravity using the tunneling method and Cardy formula
• Thermodynamic studies of Different Type of Black Holes: General Uncertainty Principle Approach
• Hawking emission of charged particles from an electrically charged spherical black hole with scalar hair
• Hawking radiation and entropy of a BTZ black hole with minimum length
• Probability distribution for black hole evaporation
• GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
• Backreaction due to quantum tunneling and modification to the black hole evaporation process
• The information loss problem and Hawking radiation as tunneling