Abstract
In this work, we present some results relating to the issue of the Loop Quantum Black Holes (LQBH) thermodynamics by the use of the tunneling radiation formalism. The information loss paradox is also discussed in this context, and we have considered the influence of back reaction effects.
Highlights
Starting from the Hawking demonstration, made in the 1970s, which shows that black holes can radiate thermally [1], some work has been undertaken in order to understand the black hole evaporation phenomenon
The results of [38], which were based on the Parikh approach, have been improved by the use of the treatment introduced by Zhang et al In order to perform the two last tasks, back reactions effects will be taken into account, since it is supposed that such effects could give us a mechanism for information recovery at the last stages of black hole evaporation
Based on the results obtained in the last section, which demonstrated that the tunneling approach is appropriate to calculate the thermodynamical properties of Loop Quantum Black Holes (LQBH), following the results of [38], we shall discuss how back reaction effects can be introduced in the description of its evaporation process
Summary
Starting from the Hawking demonstration, made in the 1970s, which shows that black holes can radiate thermally [1], some work has been undertaken in order to understand the black hole evaporation phenomenon. Tunneling formalism has contributed to the discussion of the black hole information loss paradox, even at the semiclassical level In this way, Parikh [10] demonstrated, at first, that a nonthermal spectrum could be calculated when one interprets the black hole emission process as a tunneling phenomena. In the present paper, we shall investigate the possibility of information recovery through the calculation of the statistical correlations between consecutive modes emitted during the LQBH evaporation In this case, the results of [38], which were based on the Parikh approach, have been improved by the use of the treatment introduced by Zhang et al In order to perform the two last tasks, back reactions effects will be taken into account, since it is supposed that such effects could give us a mechanism for information recovery at the last stages of black hole evaporation.
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