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Galaxies 2015, 3(2), 103-112; doi:10.3390/galaxies3020103

Quantum Corrected Non-Thermal Radiation Spectrum from the Tunnelling Mechanism

1
Department of Mathematics, Jadavpur University, Kolkata 700032, West Bengal, India
2
Dipartimento di Scienze, Sezione di Fisica, Scuola Superiore di Studi Universitari e Ricerca "Santa Rita" via San Nicola snc, 81049 San Pietro Infine (CE), Italy
3
Austro-Ukrainian Institute for Science and Technology, Institut for Theoretish Wiedner Hauptstrasse 8-10/136, A-1040 Wien, Austria
4
International Institute for Applicable Mathematics & Information Sciences (IIAMIS), B.M. Birla Science Centre, Adarsh Nagar, Hyderabad - 500 463, India
*
Author to whom correspondence should be addressed.
Academic Editor: Lorenzo Iorio
Received: 9 February 2015 / Revised: 21 May 2015 / Accepted: 28 May 2015 / Published: 12 June 2015
(This article belongs to the Special Issue Advances in Gravitational Research)
View Full-Text   |   Download PDF [252 KB, uploaded 12 June 2015]

Abstract

The tunnelling mechanism is today considered a popular and widely used method in describing Hawking radiation. However, in relation to black hole (BH) emission, this mechanism is mostly used to obtain the Hawking temperature by comparing the probability of emission of an outgoing particle with the Boltzmann factor. On the other hand, Banerjee and Majhi reformulated the tunnelling framework deriving a black body spectrum through the density matrix for the outgoing modes for both the Bose-Einstein distribution and the Fermi-Dirac distribution. In contrast, Parikh and Wilczek introduced a correction term performing an exact calculation of the action for a tunnelling spherically symmetric particle and, as a result, the probability of emission of an outgoing particle corresponds to a non-strictly thermal radiation spectrum. Recently, one of us (C. Corda) introduced a BH effective state and was able to obtain a non-strictly black body spectrum from the tunnelling mechanism corresponding to the probability of emission of an outgoing particle found by Parikh and Wilczek. The present work introduces the quantum corrected effective temperature and the corresponding quantum corrected effective metric is written using Hawking’s periodicity arguments. Thus, we obtain further corrections to the non-strictly thermal BH radiation spectrum as the final distributions take into account both the BH dynamical geometry during the emission of the particle and the quantum corrections to the semiclassical Hawking temperature. View Full-Text
Keywords: quantum tunnelling, quantum corrected effective temperature, black hole information puzzle quantum tunnelling, quantum corrected effective temperature, black hole information puzzle
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Chakraborty, S.; Saha, S.; Corda, C. Quantum Corrected Non-Thermal Radiation Spectrum from the Tunnelling Mechanism. Galaxies 2015, 3, 103-112.

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