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Black holes in multi-fractional and Lorentz-violating models
We study static and radially symmetric black holes in the multi-fractional theories of gravity with q-derivatives and with weighted derivatives, frameworks where the spacetime dimension varies with the probed scale and geometry is characterized by at least one fundamental length [Formula: see text]...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer Berlin Heidelberg
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5438828/ https://www.ncbi.nlm.nih.gov/pubmed/28596703 http://dx.doi.org/10.1140/epjc/s10052-017-4879-5 |
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author | Calcagni, Gianluca Rodríguez Fernández, David Ronco, Michele |
author_facet | Calcagni, Gianluca Rodríguez Fernández, David Ronco, Michele |
author_sort | Calcagni, Gianluca |
collection | PubMed |
description | We study static and radially symmetric black holes in the multi-fractional theories of gravity with q-derivatives and with weighted derivatives, frameworks where the spacetime dimension varies with the probed scale and geometry is characterized by at least one fundamental length [Formula: see text] . In the q-derivatives scenario, one finds a tiny shift of the event horizon. Schwarzschild black holes can present an additional ring singularity, not present in general relativity, whose radius is proportional to [Formula: see text] . In the multi-fractional theory with weighted derivatives, there is no such deformation, but non-trivial geometric features generate a cosmological-constant term, leading to a de Sitter–Schwarzschild black hole. For both scenarios, we compute the Hawking temperature and comment on the resulting black-hole thermodynamics. In the case with q-derivatives, black holes can be hotter than usual and possess an additional ring singularity, while in the case with weighted derivatives they have a de Sitter hair of purely geometric origin, which may lead to a solution of the cosmological constant problem similar to that in unimodular gravity. Finally, we compare our findings with other Lorentz-violating models. |
format | Online Article Text |
id | pubmed-5438828 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-54388282017-06-06 Black holes in multi-fractional and Lorentz-violating models Calcagni, Gianluca Rodríguez Fernández, David Ronco, Michele Eur Phys J C Part Fields Regular Article - Theoretical Physics We study static and radially symmetric black holes in the multi-fractional theories of gravity with q-derivatives and with weighted derivatives, frameworks where the spacetime dimension varies with the probed scale and geometry is characterized by at least one fundamental length [Formula: see text] . In the q-derivatives scenario, one finds a tiny shift of the event horizon. Schwarzschild black holes can present an additional ring singularity, not present in general relativity, whose radius is proportional to [Formula: see text] . In the multi-fractional theory with weighted derivatives, there is no such deformation, but non-trivial geometric features generate a cosmological-constant term, leading to a de Sitter–Schwarzschild black hole. For both scenarios, we compute the Hawking temperature and comment on the resulting black-hole thermodynamics. In the case with q-derivatives, black holes can be hotter than usual and possess an additional ring singularity, while in the case with weighted derivatives they have a de Sitter hair of purely geometric origin, which may lead to a solution of the cosmological constant problem similar to that in unimodular gravity. Finally, we compare our findings with other Lorentz-violating models. Springer Berlin Heidelberg 2017-05-20 2017 /pmc/articles/PMC5438828/ /pubmed/28596703 http://dx.doi.org/10.1140/epjc/s10052-017-4879-5 Text en © The Author(s) 2017 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. Funded by SCOAP3 |
spellingShingle | Regular Article - Theoretical Physics Calcagni, Gianluca Rodríguez Fernández, David Ronco, Michele Black holes in multi-fractional and Lorentz-violating models |
title | Black holes in multi-fractional and Lorentz-violating models |
title_full | Black holes in multi-fractional and Lorentz-violating models |
title_fullStr | Black holes in multi-fractional and Lorentz-violating models |
title_full_unstemmed | Black holes in multi-fractional and Lorentz-violating models |
title_short | Black holes in multi-fractional and Lorentz-violating models |
title_sort | black holes in multi-fractional and lorentz-violating models |
topic | Regular Article - Theoretical Physics |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5438828/ https://www.ncbi.nlm.nih.gov/pubmed/28596703 http://dx.doi.org/10.1140/epjc/s10052-017-4879-5 |
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