Black hole evaporation in Hořava–Lifshitz gravity
Abstract Hořava–Lifshitz (HL) gravity was formulated in hope of solving the non-renormalization problem in Einstein gravity and the ghost problem in higher derivative gravity theories by violating Lorentz invariance. In this work we consider the spherically symmetric neutral AdS black hole evaporati...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-8249-3 |
| _version_ | 1819113758695358464 |
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| author | Hao Xu Yen Chin Ong |
| author_facet | Hao Xu Yen Chin Ong |
| author_sort | Hao Xu |
| collection | DOAJ |
| description | Abstract Hořava–Lifshitz (HL) gravity was formulated in hope of solving the non-renormalization problem in Einstein gravity and the ghost problem in higher derivative gravity theories by violating Lorentz invariance. In this work we consider the spherically symmetric neutral AdS black hole evaporation process in HL gravity in various spacetime dimensions d, and with detailed balance violation parameter $$0\leqslant \epsilon ^2\leqslant 1$$ 0⩽ϵ2⩽1 . We find that the lifetime of the black holes under Hawking evaporation is dimensional dependent, with $$d=4,5$$ d=4,5 behave differently from $$d\geqslant 6$$ d⩾6 . For the case of $$\epsilon =0$$ ϵ=0 , in $$d=4,5$$ d=4,5 , the black hole admits zero temperature state, and the lifetime of the black hole is always infinite. This phenomenon obeys the third law of black hole thermodynamics, and implies that the black holes become an effective remnant towards the end of the evaporation. As $$d\geqslant 6$$ d⩾6 , however, the lifetime of black hole does not diverge with any initial black hole mass, and it is bounded by a time of the order of $$\ell ^{d-1}$$ ℓd-1 , similar to the case of Schwarzschild-AdS in Einstein gravity (which corresponds to $$\epsilon ^2=1$$ ϵ2=1 ), though for the latter this holds for all $$d\geqslant 4$$ d⩾4 . The case of $$0<\epsilon ^2<1$$ 0<ϵ2<1 is also qualitatively similar with $$\epsilon =0$$ ϵ=0 . |
| first_indexed | 2024-12-22T04:34:30Z |
| format | Article |
| id | doaj.art-2c963e785f4a41009bba1d6d158e2a3f |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-22T04:34:30Z |
| publishDate | 2020-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-2c963e785f4a41009bba1d6d158e2a3f2022-12-21T18:38:55ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-07-0180711010.1140/epjc/s10052-020-8249-3Black hole evaporation in Hořava–Lifshitz gravityHao Xu0Yen Chin Ong1Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityAbstract Hořava–Lifshitz (HL) gravity was formulated in hope of solving the non-renormalization problem in Einstein gravity and the ghost problem in higher derivative gravity theories by violating Lorentz invariance. In this work we consider the spherically symmetric neutral AdS black hole evaporation process in HL gravity in various spacetime dimensions d, and with detailed balance violation parameter $$0\leqslant \epsilon ^2\leqslant 1$$ 0⩽ϵ2⩽1 . We find that the lifetime of the black holes under Hawking evaporation is dimensional dependent, with $$d=4,5$$ d=4,5 behave differently from $$d\geqslant 6$$ d⩾6 . For the case of $$\epsilon =0$$ ϵ=0 , in $$d=4,5$$ d=4,5 , the black hole admits zero temperature state, and the lifetime of the black hole is always infinite. This phenomenon obeys the third law of black hole thermodynamics, and implies that the black holes become an effective remnant towards the end of the evaporation. As $$d\geqslant 6$$ d⩾6 , however, the lifetime of black hole does not diverge with any initial black hole mass, and it is bounded by a time of the order of $$\ell ^{d-1}$$ ℓd-1 , similar to the case of Schwarzschild-AdS in Einstein gravity (which corresponds to $$\epsilon ^2=1$$ ϵ2=1 ), though for the latter this holds for all $$d\geqslant 4$$ d⩾4 . The case of $$0<\epsilon ^2<1$$ 0<ϵ2<1 is also qualitatively similar with $$\epsilon =0$$ ϵ=0 .http://link.springer.com/article/10.1140/epjc/s10052-020-8249-3 |
| spellingShingle | Hao Xu Yen Chin Ong Black hole evaporation in Hořava–Lifshitz gravity European Physical Journal C: Particles and Fields |
| title | Black hole evaporation in Hořava–Lifshitz gravity |
| title_full | Black hole evaporation in Hořava–Lifshitz gravity |
| title_fullStr | Black hole evaporation in Hořava–Lifshitz gravity |
| title_full_unstemmed | Black hole evaporation in Hořava–Lifshitz gravity |
| title_short | Black hole evaporation in Hořava–Lifshitz gravity |
| title_sort | black hole evaporation in horava lifshitz gravity |
| url | http://link.springer.com/article/10.1140/epjc/s10052-020-8249-3 |
| work_keys_str_mv | AT haoxu blackholeevaporationinhoravalifshitzgravity AT yenchinong blackholeevaporationinhoravalifshitzgravity |