Abstract

We consider the black hole information problem within the context of collapse theories in a scheme that allows the incorporation of the backreaction to the Hawking radiation. We explore the issue in a setting of the two dimensional version of black hole evaporation known as the Russo-Susskind-Thorlacius model. We summarize the general ideas based on the semiclassical version of Einstein’s equations and then discuss specific modifications that are required in the context of collapse theories when applied to this model.

Highlights

  • Semiclassical CGHS model with backreactionThe advantage of using “effective action formalism” is that it allows one to play with the E.O.M without going into a rigorous quantum field theory calculation, and that approach was subsequently exploited in Russo-Susskind-Thorlacius (RST) [23], where a local term was added in (7), allowing one to solve the new semiclassical equations analytically

  • In previous works [7,8,9] we helped to clarify the basis of the dispute, and proposed a scheme where the resolution of the issue is tied to a proposal to address another lingering problem of theoretical physics: the so called measurement problem [10] in quantum theory

  • The proposal was to associate to the intrinsic breakdown of unitary evolution, which is typical of these dynamical collapse theories [12,13,14,15,16,17,18], all the information loss that takes place during the formation and subsequent Hawking evaporation of the black hole

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Summary

Semiclassical CGHS model with backreaction

The advantage of using “effective action formalism” is that it allows one to play with the E.O.M without going into a rigorous quantum field theory calculation, and that approach was subsequently exploited in Russo-Susskind-Thorlacius (RST) [23], where a local term was added in (7), allowing one to solve the new semiclassical equations analytically.

Review of the RST Model
Equations of motion
Solving semiclassical equations
Dynamical case of black hole formation and evaporation
Quantization on RST
Incorporating collapse mechanism in the RST model
Collapse of the quantum state and Einstein’s semiclassical equations
CSL theory
Gravitationally induced collapse rate
Spacetime foliation
CSL evolution and the modified back reaction
Recovering the thermal Hawking radiation
Findings
Discussion

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