Quasilocal first law of black hole dynamics from local Lorentz transformations
Abstract Quasilocal formulations of black hole are of immense importance since they reveal the essential and minimal assumptions required for a consistent description of black hole horizon, without relying on the asymptotic boundary conditions on fields. Using the quasilocal formulation of Isolated...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6021-8 |
| _version_ | 1818309224450490368 |
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| author | Ayan Chatterjee Avirup Ghosh |
| author_facet | Ayan Chatterjee Avirup Ghosh |
| author_sort | Ayan Chatterjee |
| collection | DOAJ |
| description | Abstract Quasilocal formulations of black hole are of immense importance since they reveal the essential and minimal assumptions required for a consistent description of black hole horizon, without relying on the asymptotic boundary conditions on fields. Using the quasilocal formulation of Isolated Horizons, we construct the Hamiltonian charges corresponding to local Lorentz transformations on a spacetime admitting isolated horizon as an internal boundary. From this construction, it arises quite generally that the area of the horizon of an isolated black hole is the Hamiltonian charge for local Lorentz boost on the horizon. Using this argument further, it is shown that, observers at a fixed proper distance $$l_{0}$$ l0 , very close to the horizon, may define a notion of horizon energy given by $$E=A/8\pi G l_{0}$$ E=A/8πGl0 , the surface gravity is given by $$\kappa =1/l_{0}$$ κ=1/l0 , and consequently, the first law can be written in the quasilocal setting as $$\delta E=(\kappa /8\pi G)\delta A$$ δE=(κ/8πG)δA . |
| first_indexed | 2024-12-13T07:26:46Z |
| format | Article |
| id | doaj.art-a85436e407f544d6b3e2c4e6ed1d47a6 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-13T07:26:46Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-a85436e407f544d6b3e2c4e6ed1d47a62022-12-21T23:55:17ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-07-017871810.1140/epjc/s10052-018-6021-8Quasilocal first law of black hole dynamics from local Lorentz transformationsAyan Chatterjee0Avirup Ghosh1Department of Physics and Astronomical Science, Central University of Himachal PradeshTheory Division, Saha Institute of Nuclear PhysicsAbstract Quasilocal formulations of black hole are of immense importance since they reveal the essential and minimal assumptions required for a consistent description of black hole horizon, without relying on the asymptotic boundary conditions on fields. Using the quasilocal formulation of Isolated Horizons, we construct the Hamiltonian charges corresponding to local Lorentz transformations on a spacetime admitting isolated horizon as an internal boundary. From this construction, it arises quite generally that the area of the horizon of an isolated black hole is the Hamiltonian charge for local Lorentz boost on the horizon. Using this argument further, it is shown that, observers at a fixed proper distance $$l_{0}$$ l0 , very close to the horizon, may define a notion of horizon energy given by $$E=A/8\pi G l_{0}$$ E=A/8πGl0 , the surface gravity is given by $$\kappa =1/l_{0}$$ κ=1/l0 , and consequently, the first law can be written in the quasilocal setting as $$\delta E=(\kappa /8\pi G)\delta A$$ δE=(κ/8πG)δA .http://link.springer.com/article/10.1140/epjc/s10052-018-6021-8 |
| spellingShingle | Ayan Chatterjee Avirup Ghosh Quasilocal first law of black hole dynamics from local Lorentz transformations European Physical Journal C: Particles and Fields |
| title | Quasilocal first law of black hole dynamics from local Lorentz transformations |
| title_full | Quasilocal first law of black hole dynamics from local Lorentz transformations |
| title_fullStr | Quasilocal first law of black hole dynamics from local Lorentz transformations |
| title_full_unstemmed | Quasilocal first law of black hole dynamics from local Lorentz transformations |
| title_short | Quasilocal first law of black hole dynamics from local Lorentz transformations |
| title_sort | quasilocal first law of black hole dynamics from local lorentz transformations |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6021-8 |
| work_keys_str_mv | AT ayanchatterjee quasilocalfirstlawofblackholedynamicsfromlocallorentztransformations AT avirupghosh quasilocalfirstlawofblackholedynamicsfromlocallorentztransformations |