Hawking radiation from an evaporating black hole via Bogoliubov transformations
Resumen:
We study Hawking radiation on a Vaidya space-time with a gravitational collapse followed by evaporation. The collapsing body is a null thin-shell and the evaporation is induced by a negative energy collapsing null-shell. This mimics the back-reaction to the Hawking radiation. Using Hawking’s original method of Bogoliubov transformations we characterize the radiated spectrum as dominated by a thermal emission with an increasing effective temperature. We compute this time dependent temperature and find numerical agreement with results obtained by other techniques. The known divergences at the evaporation time are explained by the divergent nature of the effective temperature. As a consistency check, we re-derived the results from a zero mass limit of a remnant BH scenario.
| 2022 | |
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Hawking radiation Vaidya space-time Bogoliubov transformations |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/39385 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución (CC - By 4.0) |
| _version_ | 1807522798950678528 |
|---|---|
| author | Eyheralde, Rodrigo |
| author_facet | Eyheralde, Rodrigo |
| author_role | author |
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| bitstream.checksumAlgorithm.fl_str_mv | MD5 MD5 MD5 MD5 MD5 |
| bitstream.url.fl_str_mv | http://localhost:8080/xmlui/bitstream/20.500.12008/39385/9/license.txt http://localhost:8080/xmlui/bitstream/20.500.12008/39385/6/license_url http://localhost:8080/xmlui/bitstream/20.500.12008/39385/7/license_text http://localhost:8080/xmlui/bitstream/20.500.12008/39385/8/license_rdf http://localhost:8080/xmlui/bitstream/20.500.12008/39385/5/1048550arXiv220506140.pdf |
| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Eyheralde Rodrigo, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física. |
| dc.creator.none.fl_str_mv | Eyheralde, Rodrigo |
| dc.date.accessioned.none.fl_str_mv | 2023-08-16T17:57:55Z |
| dc.date.available.none.fl_str_mv | 2023-08-16T17:57:55Z |
| dc.date.issued.none.fl_str_mv | 2022 |
| dc.description.abstract.none.fl_txt_mv | We study Hawking radiation on a Vaidya space-time with a gravitational collapse followed by evaporation. The collapsing body is a null thin-shell and the evaporation is induced by a negative energy collapsing null-shell. This mimics the back-reaction to the Hawking radiation. Using Hawking’s original method of Bogoliubov transformations we characterize the radiated spectrum as dominated by a thermal emission with an increasing effective temperature. We compute this time dependent temperature and find numerical agreement with results obtained by other techniques. The known divergences at the evaporation time are explained by the divergent nature of the effective temperature. As a consistency check, we re-derived the results from a zero mass limit of a remnant BH scenario. |
| dc.description.es.fl_txt_mv | Publicado también en: Classical and Quantum Gravity, 2022, 39: 225002. DOI: 10.1088/1361-6382/ac93e2 |
| dc.format.extent.es.fl_str_mv | 20 h. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Eyheralde , R. "Hawking radiation from an evaporating black hole via Bogoliubov transformations" [Preprint] 20 h. General Relativity and Quantum Cosmology, 2022, arXiv:2205.06140, May 2022. |
| dc.identifier.doi.none.fl_str_mv | 10.48550/arXiv.2205.06140 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/39385 |
| dc.language.iso.none.fl_str_mv | en_US eng |
| dc.publisher.es.fl_str_mv | arXiv |
| dc.relation.ispartof.es.fl_str_mv | General Relativity and Quantum Cosmology, 2022, arXiv:2205.06140, May 2022 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución (CC - By 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | Hawking radiation Vaidya space-time Bogoliubov transformations |
| dc.title.none.fl_str_mv | Hawking radiation from an evaporating black hole via Bogoliubov transformations |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | Publicado también en: Classical and Quantum Gravity, 2022, 39: 225002. DOI: 10.1088/1361-6382/ac93e2 |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_a0428f1e4e8e89d467714f03fb183e18 |
| identifier_str_mv | Eyheralde , R. "Hawking radiation from an evaporating black hole via Bogoliubov transformations" [Preprint] 20 h. General Relativity and Quantum Cosmology, 2022, arXiv:2205.06140, May 2022. 10.48550/arXiv.2205.06140 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en_US |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/39385 |
| publishDate | 2022 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución (CC - By 4.0) |
| spelling | Eyheralde Rodrigo, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.2023-08-16T17:57:55Z2023-08-16T17:57:55Z2022Eyheralde , R. "Hawking radiation from an evaporating black hole via Bogoliubov transformations" [Preprint] 20 h. General Relativity and Quantum Cosmology, 2022, arXiv:2205.06140, May 2022.https://hdl.handle.net/20.500.12008/3938510.48550/arXiv.2205.06140Publicado también en: Classical and Quantum Gravity, 2022, 39: 225002. DOI: 10.1088/1361-6382/ac93e2We study Hawking radiation on a Vaidya space-time with a gravitational collapse followed by evaporation. The collapsing body is a null thin-shell and the evaporation is induced by a negative energy collapsing null-shell. This mimics the back-reaction to the Hawking radiation. Using Hawking’s original method of Bogoliubov transformations we characterize the radiated spectrum as dominated by a thermal emission with an increasing effective temperature. We compute this time dependent temperature and find numerical agreement with results obtained by other techniques. The known divergences at the evaporation time are explained by the divergent nature of the effective temperature. As a consistency check, we re-derived the results from a zero mass limit of a remnant BH scenario.Submitted by Farías Verónica (vfarias@fcien.edu.uy) on 2023-08-16T17:45:58Z No. of bitstreams: 1 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5)Rejected by Faget Cecilia (lfaget@fcien.edu.uy), reason: on 2023-08-16T17:46:56Z (GMT)Submitted by Farías Verónica (vfarias@fcien.edu.uy) on 2023-08-16T17:52:18Z No. of bitstreams: 2 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5) 1048550arXiv220506140.pdf: 830625 bytes, checksum: c3ff0274909d8b3cd723acf572b6dfc6 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2023-08-16T17:56:13Z (GMT) No. of bitstreams: 2 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5) 1048550arXiv220506140.pdf: 830625 bytes, checksum: c3ff0274909d8b3cd723acf572b6dfc6 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2023-08-16T17:57:55Z (GMT). No. of bitstreams: 2 license_rdf: 19875 bytes, checksum: 9fdbed07f52437945402c4e70fa4773e (MD5) 1048550arXiv220506140.pdf: 830625 bytes, checksum: c3ff0274909d8b3cd723acf572b6dfc6 (MD5) Previous issue date: 202220 h.application/pdfen_USengarXivGeneral Relativity and Quantum Cosmology, 2022, arXiv:2205.06140, May 2022Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución (CC - By 4.0)Hawking radiationVaidya space-timeBogoliubov transformationsHawking radiation from an evaporating black hole via Bogoliubov transformationsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaEyheralde, RodrigoLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/39385/9/license.txt6429389a7df7277b72b7924fdc7d47a9MD59CC-LICENSElicense_urllicense_urltext/plain; charset=utf-844http://localhost:8080/xmlui/bitstream/20.500.12008/39385/6/license_urla0ebbeafb9d2ec7cbb19d7137ebc392cMD56license_textlicense_texttext/html; charset=utf-838534http://localhost:8080/xmlui/bitstream/20.500.12008/39385/7/license_textaaf2791046b84599cb1e37492908be62MD57license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse |
| spellingShingle | Hawking radiation from an evaporating black hole via Bogoliubov transformations Eyheralde, Rodrigo Hawking radiation Vaidya space-time Bogoliubov transformations |
| status_str | submittedVersion |
| title | Hawking radiation from an evaporating black hole via Bogoliubov transformations |
| title_full | Hawking radiation from an evaporating black hole via Bogoliubov transformations |
| title_fullStr | Hawking radiation from an evaporating black hole via Bogoliubov transformations |
| title_full_unstemmed | Hawking radiation from an evaporating black hole via Bogoliubov transformations |
| title_short | Hawking radiation from an evaporating black hole via Bogoliubov transformations |
| title_sort | Hawking radiation from an evaporating black hole via Bogoliubov transformations |
| topic | Hawking radiation Vaidya space-time Bogoliubov transformations |
| url | https://hdl.handle.net/20.500.12008/39385 |
