Quantum ergosphere and brick wall entropy
We revisit the “brick wall” model for black hole entropy taking into account backreaction effects on the horizon structure. We do so by adopting an evaporating metric in the quasi-static approximation in which departures from the standard Schwarzschild metric are governed by a small luminosity facto...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2019-10-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S037026931930601X |
| _version_ | 1819040171029430272 |
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| author | M. Arzano L. Brocki J. Kowalski-Glikman M. Letizia J. Unger |
| author_facet | M. Arzano L. Brocki J. Kowalski-Glikman M. Letizia J. Unger |
| author_sort | M. Arzano |
| collection | DOAJ |
| description | We revisit the “brick wall” model for black hole entropy taking into account backreaction effects on the horizon structure. We do so by adopting an evaporating metric in the quasi-static approximation in which departures from the standard Schwarzschild metric are governed by a small luminosity factor. One of the effects of the backreaction is to create an ergosphere-like region which naturally tames the usual divergence in the calculation of the partition function of the field. The black hole luminosity sets the width of such ‘quantum ergosphere’. We find a finite horizon contribution to the entropy which, for the luminosity associated to the Hawking flux, reproduces remarkably well the Bekenstein-Hawking entropy-area law. |
| first_indexed | 2024-12-21T09:04:51Z |
| format | Article |
| id | doaj.art-4b0842e04920484580f81cfac3253f5c |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-21T09:04:51Z |
| publishDate | 2019-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-4b0842e04920484580f81cfac3253f5c2022-12-21T19:09:23ZengElsevierPhysics Letters B0370-26932019-10-01797Quantum ergosphere and brick wall entropyM. Arzano0L. Brocki1J. Kowalski-Glikman2M. Letizia3J. Unger4Dipartimento di Fisica “E. Pancini”, Università di Napoli Federico II, and INFN, Via Cinthia, 80126 Fuorigrotta, Napoli, Italy; Corresponding author.Institute for Theoretical Physics, University of Wrocław, Pl. Maksa Borna 9, 50-204 Wrocław, PolandInstitute for Theoretical Physics, University of Wrocław, Pl. Maksa Borna 9, 50-204 Wrocław, Poland; National Centre for Nuclear Research, Pasteura 7, 02-093 Warsaw, PolandDept. of Applied Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada; Perimeter Institute for Theoretical Physics, Waterloo, ON N2L 2Y5, CanadaInstitute for Theoretical Physics, University of Wrocław, Pl. Maksa Borna 9, 50-204 Wrocław, PolandWe revisit the “brick wall” model for black hole entropy taking into account backreaction effects on the horizon structure. We do so by adopting an evaporating metric in the quasi-static approximation in which departures from the standard Schwarzschild metric are governed by a small luminosity factor. One of the effects of the backreaction is to create an ergosphere-like region which naturally tames the usual divergence in the calculation of the partition function of the field. The black hole luminosity sets the width of such ‘quantum ergosphere’. We find a finite horizon contribution to the entropy which, for the luminosity associated to the Hawking flux, reproduces remarkably well the Bekenstein-Hawking entropy-area law.http://www.sciencedirect.com/science/article/pii/S037026931930601X |
| spellingShingle | M. Arzano L. Brocki J. Kowalski-Glikman M. Letizia J. Unger Quantum ergosphere and brick wall entropy Physics Letters B |
| title | Quantum ergosphere and brick wall entropy |
| title_full | Quantum ergosphere and brick wall entropy |
| title_fullStr | Quantum ergosphere and brick wall entropy |
| title_full_unstemmed | Quantum ergosphere and brick wall entropy |
| title_short | Quantum ergosphere and brick wall entropy |
| title_sort | quantum ergosphere and brick wall entropy |
| url | http://www.sciencedirect.com/science/article/pii/S037026931930601X |
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