Quantum tunneling, adiabatic invariance and black hole spectroscopy
Abstract In the tunneling framework, one of us, Jiang, together with Han has studied the black hole spectroscopy via adiabatic invariance, where the adiabatic invariant quantity has been intriguingly obtained by investigating the oscillating velocity of the black hole horizon. In this paper, we atte...
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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 |
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| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-4901-y |
| _version_ | 1811334667107827712 |
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| author | Guo-Ping Li Jin Pu Qing-Quan Jiang Xiao-Tao Zu |
| author_facet | Guo-Ping Li Jin Pu Qing-Quan Jiang Xiao-Tao Zu |
| author_sort | Guo-Ping Li |
| collection | DOAJ |
| description | Abstract In the tunneling framework, one of us, Jiang, together with Han has studied the black hole spectroscopy via adiabatic invariance, where the adiabatic invariant quantity has been intriguingly obtained by investigating the oscillating velocity of the black hole horizon. In this paper, we attempt to improve Jiang–Han’s proposal in two ways. Firstly, we once again examine the fact that, in different types (Schwarzschild and Painlevé) of coordinates as well as in different gravity frames, the adiabatic invariant $$I_\mathrm{adia} = \oint p_i dq_i$$ I adia = ∮ p i d q i introduced by Jiang and Han is canonically invariant. Secondly, we attempt to confirm Jiang–Han’s proposal reasonably in more general gravity frames (including Einstein’s gravity, EGB gravity and HL gravity). Concurrently, for improving this proposal, we interestingly find in more general gravity theories that the entropy of the black hole is an adiabatic invariant action variable, but the horizon area is only an adiabatic invariant. In this sense, we emphasize the concept that the quantum of the black hole entropy is more natural than that of the horizon area. |
| first_indexed | 2024-04-13T17:12:32Z |
| format | Article |
| id | doaj.art-0cf26589008e4410879ae82e7cb04dc1 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-04-13T17:12:32Z |
| publishDate | 2017-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-0cf26589008e4410879ae82e7cb04dc12022-12-22T02:38:13ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-05-017751710.1140/epjc/s10052-017-4901-yQuantum tunneling, adiabatic invariance and black hole spectroscopyGuo-Ping Li0Jin Pu1Qing-Quan Jiang2Xiao-Tao Zu3School of Physical Electronics, University of Electronic Science and Technology of ChinaSchool of Physical Electronics, University of Electronic Science and Technology of ChinaCollege of Physics and Space Science, China West Normal UniversitySchool of Physical Electronics, University of Electronic Science and Technology of ChinaAbstract In the tunneling framework, one of us, Jiang, together with Han has studied the black hole spectroscopy via adiabatic invariance, where the adiabatic invariant quantity has been intriguingly obtained by investigating the oscillating velocity of the black hole horizon. In this paper, we attempt to improve Jiang–Han’s proposal in two ways. Firstly, we once again examine the fact that, in different types (Schwarzschild and Painlevé) of coordinates as well as in different gravity frames, the adiabatic invariant $$I_\mathrm{adia} = \oint p_i dq_i$$ I adia = ∮ p i d q i introduced by Jiang and Han is canonically invariant. Secondly, we attempt to confirm Jiang–Han’s proposal reasonably in more general gravity frames (including Einstein’s gravity, EGB gravity and HL gravity). Concurrently, for improving this proposal, we interestingly find in more general gravity theories that the entropy of the black hole is an adiabatic invariant action variable, but the horizon area is only an adiabatic invariant. In this sense, we emphasize the concept that the quantum of the black hole entropy is more natural than that of the horizon area.http://link.springer.com/article/10.1140/epjc/s10052-017-4901-yBlack HoleEinstein GravityBlack Hole EntropyBlack Hole HorizonHorizon Area |
| spellingShingle | Guo-Ping Li Jin Pu Qing-Quan Jiang Xiao-Tao Zu Quantum tunneling, adiabatic invariance and black hole spectroscopy European Physical Journal C: Particles and Fields Black Hole Einstein Gravity Black Hole Entropy Black Hole Horizon Horizon Area |
| title | Quantum tunneling, adiabatic invariance and black hole spectroscopy |
| title_full | Quantum tunneling, adiabatic invariance and black hole spectroscopy |
| title_fullStr | Quantum tunneling, adiabatic invariance and black hole spectroscopy |
| title_full_unstemmed | Quantum tunneling, adiabatic invariance and black hole spectroscopy |
| title_short | Quantum tunneling, adiabatic invariance and black hole spectroscopy |
| title_sort | quantum tunneling adiabatic invariance and black hole spectroscopy |
| topic | Black Hole Einstein Gravity Black Hole Entropy Black Hole Horizon Horizon Area |
| url | http://link.springer.com/article/10.1140/epjc/s10052-017-4901-y |
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