Quasinormal resonances of rapidly-spinning Kerr black holes and the universal relaxation bound
The universal relaxation bound suggests that the relaxation times of perturbed thermodynamical systems is bounded from below by the simple time-times-temperature (TTT) quantum relation τ×T≥ħπ. It is known that some perturbation modes of near-extremal Kerr black holes in the regime MTBH/ħ≪m−2 are cha...
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2021
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oai:doaj.org-article:08e983a1a2b44504943d50afb5b2127e2021-12-04T04:32:30ZQuasinormal resonances of rapidly-spinning Kerr black holes and the universal relaxation bound0370-269310.1016/j.physletb.2021.136733https://doaj.org/article/08e983a1a2b44504943d50afb5b2127e2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321006730https://doaj.org/toc/0370-2693The universal relaxation bound suggests that the relaxation times of perturbed thermodynamical systems is bounded from below by the simple time-times-temperature (TTT) quantum relation τ×T≥ħπ. It is known that some perturbation modes of near-extremal Kerr black holes in the regime MTBH/ħ≪m−2 are characterized by normalized relaxation times πτ×TBH/ħ which, in the approach to the limit MTBH/ħ→0, make infinitely many oscillations with a tiny constant amplitude around 1 and therefore cannot be used directly to verify the validity of the TTT bound in the entire parameter space of the black-hole spacetime (Here {TBH,M} are respectively the Bekenstein-Hawking temperature and the mass of the black hole, and m is the azimuthal harmonic index of the linearized perturbation mode). In the present compact paper we explicitly prove that all rapidly-spinning Kerr black holes respect the TTT relaxation bound. In particular, using analytical techniques, it is proved that all black-hole perturbation modes in the complementary regime m−1≪MTBH/ħ≪1 are characterized by relaxation times with the simple dimensionless property πτ×TBH/ħ≥1.Shahar HodElsevierarticlePhysicsQC1-999ENPhysics Letters B, Vol 823, Iss , Pp 136733- (2021) |
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DOAJ |
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DOAJ |
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Physics QC1-999 |
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Physics QC1-999 Shahar Hod Quasinormal resonances of rapidly-spinning Kerr black holes and the universal relaxation bound |
| description |
The universal relaxation bound suggests that the relaxation times of perturbed thermodynamical systems is bounded from below by the simple time-times-temperature (TTT) quantum relation τ×T≥ħπ. It is known that some perturbation modes of near-extremal Kerr black holes in the regime MTBH/ħ≪m−2 are characterized by normalized relaxation times πτ×TBH/ħ which, in the approach to the limit MTBH/ħ→0, make infinitely many oscillations with a tiny constant amplitude around 1 and therefore cannot be used directly to verify the validity of the TTT bound in the entire parameter space of the black-hole spacetime (Here {TBH,M} are respectively the Bekenstein-Hawking temperature and the mass of the black hole, and m is the azimuthal harmonic index of the linearized perturbation mode). In the present compact paper we explicitly prove that all rapidly-spinning Kerr black holes respect the TTT relaxation bound. In particular, using analytical techniques, it is proved that all black-hole perturbation modes in the complementary regime m−1≪MTBH/ħ≪1 are characterized by relaxation times with the simple dimensionless property πτ×TBH/ħ≥1. |
| format |
article |
| author |
Shahar Hod |
| author_facet |
Shahar Hod |
| author_sort |
Shahar Hod |
| title |
Quasinormal resonances of rapidly-spinning Kerr black holes and the universal relaxation bound |
| title_short |
Quasinormal resonances of rapidly-spinning Kerr black holes and the universal relaxation bound |
| title_full |
Quasinormal resonances of rapidly-spinning Kerr black holes and the universal relaxation bound |
| title_fullStr |
Quasinormal resonances of rapidly-spinning Kerr black holes and the universal relaxation bound |
| title_full_unstemmed |
Quasinormal resonances of rapidly-spinning Kerr black holes and the universal relaxation bound |
| title_sort |
quasinormal resonances of rapidly-spinning kerr black holes and the universal relaxation bound |
| publisher |
Elsevier |
| publishDate |
2021 |
| url |
https://doaj.org/article/08e983a1a2b44504943d50afb5b2127e |
| work_keys_str_mv |
AT shaharhod quasinormalresonancesofrapidlyspinningkerrblackholesandtheuniversalrelaxationbound |
| _version_ |
1718373011498729472 |