Black holes in multi-fractional and Lorentz-violating models
Abstract 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 $$\ell _*$$...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-4879-5 |
| _version_ | 1819114156633096192 |
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| author | Gianluca Calcagni David Rodríguez Fernández Michele Ronco |
| author_facet | Gianluca Calcagni David Rodríguez Fernández Michele Ronco |
| author_sort | Gianluca Calcagni |
| collection | DOAJ |
| description | Abstract 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 $$\ell _*$$ ℓ ∗ . 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 $$\ell _*$$ ℓ ∗ . 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. |
| first_indexed | 2024-12-22T04:40:49Z |
| format | Article |
| id | doaj.art-eab800e2a2fd4efea1d45ef968fb7e2b |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-22T04:40:49Z |
| publishDate | 2017-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-eab800e2a2fd4efea1d45ef968fb7e2b2022-12-21T18:38:46ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-05-0177511710.1140/epjc/s10052-017-4879-5Black holes in multi-fractional and Lorentz-violating modelsGianluca Calcagni0David Rodríguez Fernández1Michele Ronco2Instituto de Estructura de la Materia, CSICDepartment of Physics, Universidad de OviedoDipartimento di Fisica, Università di Roma “La Sapienza”Abstract 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 $$\ell _*$$ ℓ ∗ . 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 $$\ell _*$$ ℓ ∗ . 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.http://link.springer.com/article/10.1140/epjc/s10052-017-4879-5Black HoleEvent HorizonFractional DerivativeGeneralize Uncertainty PrincipleJordan Frame |
| spellingShingle | Gianluca Calcagni David Rodríguez Fernández Michele Ronco Black holes in multi-fractional and Lorentz-violating models European Physical Journal C: Particles and Fields Black Hole Event Horizon Fractional Derivative Generalize Uncertainty Principle Jordan Frame |
| 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 | Black Hole Event Horizon Fractional Derivative Generalize Uncertainty Principle Jordan Frame |
| url | http://link.springer.com/article/10.1140/epjc/s10052-017-4879-5 |
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