On light surfaces in black hole thermodynamics
Abstract We discuss the fundamentals of classical black hole (BH) thermodynamics in a new framework determined by light surfaces and their frequencies. This new approach allows us to study BH transitions inside the Kerr geometry. In the case of BHs, we introduce a new parametrization of the metric i...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-05-01
|
| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10370-5 |
| _version_ | 1818548665890897920 |
|---|---|
| author | D. Pugliese H. Quevedo |
| author_facet | D. Pugliese H. Quevedo |
| author_sort | D. Pugliese |
| collection | DOAJ |
| description | Abstract We discuss the fundamentals of classical black hole (BH) thermodynamics in a new framework determined by light surfaces and their frequencies. This new approach allows us to study BH transitions inside the Kerr geometry. In the case of BHs, we introduce a new parametrization of the metric in terms of the maximum extractable rotational energy or, correspondingly, the irreducible mass, which is an alternative to the spin parametrization. It turns out that BH spacetimes with spins $$a/M= \sqrt{8/9}$$ a / M = 8 / 9 and $$a/M=1/\sqrt{2}$$ a / M = 1 / 2 show anomalies in the rotational energy extraction and surface gravity whereas the case $$a/M=\sqrt{3}/2$$ a / M = 3 / 2 is of particular relevance to study the variations of the horizon area. We find the general conditions under which BH transitions can occur and express them in terms of the masses of the initial and final states. This shows that BH transitions in the Kerr geometry are not arbitrary but depend on the relationship between the mass and spin of the initial and final states. From an observational point of view, we argue that near the BH poles it is possible to detect photon orbits with frequencies that characterize the light surfaces analyzed in this work. |
| first_indexed | 2024-12-12T08:23:14Z |
| format | Article |
| id | doaj.art-8c7463882f9c4a6f8deb760012a90b26 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-12-12T08:23:14Z |
| publishDate | 2022-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-8c7463882f9c4a6f8deb760012a90b262022-12-22T00:31:20ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-05-0182512510.1140/epjc/s10052-022-10370-5On light surfaces in black hole thermodynamicsD. Pugliese0H. Quevedo1Research Centre for Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in OpavaInstituto de Ciencias Nucleares, Universidad Nacional Autónoma de MéxicoAbstract We discuss the fundamentals of classical black hole (BH) thermodynamics in a new framework determined by light surfaces and their frequencies. This new approach allows us to study BH transitions inside the Kerr geometry. In the case of BHs, we introduce a new parametrization of the metric in terms of the maximum extractable rotational energy or, correspondingly, the irreducible mass, which is an alternative to the spin parametrization. It turns out that BH spacetimes with spins $$a/M= \sqrt{8/9}$$ a / M = 8 / 9 and $$a/M=1/\sqrt{2}$$ a / M = 1 / 2 show anomalies in the rotational energy extraction and surface gravity whereas the case $$a/M=\sqrt{3}/2$$ a / M = 3 / 2 is of particular relevance to study the variations of the horizon area. We find the general conditions under which BH transitions can occur and express them in terms of the masses of the initial and final states. This shows that BH transitions in the Kerr geometry are not arbitrary but depend on the relationship between the mass and spin of the initial and final states. From an observational point of view, we argue that near the BH poles it is possible to detect photon orbits with frequencies that characterize the light surfaces analyzed in this work.https://doi.org/10.1140/epjc/s10052-022-10370-5 |
| spellingShingle | D. Pugliese H. Quevedo On light surfaces in black hole thermodynamics European Physical Journal C: Particles and Fields |
| title | On light surfaces in black hole thermodynamics |
| title_full | On light surfaces in black hole thermodynamics |
| title_fullStr | On light surfaces in black hole thermodynamics |
| title_full_unstemmed | On light surfaces in black hole thermodynamics |
| title_short | On light surfaces in black hole thermodynamics |
| title_sort | on light surfaces in black hole thermodynamics |
| url | https://doi.org/10.1140/epjc/s10052-022-10370-5 |
| work_keys_str_mv | AT dpugliese onlightsurfacesinblackholethermodynamics AT hquevedo onlightsurfacesinblackholethermodynamics |