Black Hole Surface Gravity in Doubly Special Relativity Geometries
In a quantum gravity theory, spacetime at mesoscopic scales can acquire a novel structure very different from the classical concept of general relativity. A way to effectively characterize the quantum nature of spacetime is through a momentum dependent space-time metric. There is a vast literature s...
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| Format: | Article |
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MDPI AG
2022-02-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/2/136 |
| _version_ | 1827652396633817088 |
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| author | José Javier Relancio Stefano Liberati |
| author_facet | José Javier Relancio Stefano Liberati |
| author_sort | José Javier Relancio |
| collection | DOAJ |
| description | In a quantum gravity theory, spacetime at mesoscopic scales can acquire a novel structure very different from the classical concept of general relativity. A way to effectively characterize the quantum nature of spacetime is through a momentum dependent space-time metric. There is a vast literature showing that this geometry is related to relativistic deformed kinematics, which is precisely a way to capture residual effects of a quantum gravity theory. In this work, we study the notion of surface gravity in a momentum dependent Schwarzschild black hole geometry. We show that using the two main notions of surface gravity in general relativity we obtain a momentum independent result. However, there are several definitions of surface gravity, all of them equivalent in general relativity when there is a Killing horizon. We show that in our scheme, despite the persistence of a Killing horizon, these alternative notions only agree in a very particular momentum basis, obtained in a previous work, so further supporting its physical relevance. |
| first_indexed | 2024-03-09T20:54:53Z |
| format | Article |
| id | doaj.art-d14a0342aeb74b958c5c8c455c1c7a66 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T20:54:53Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-d14a0342aeb74b958c5c8c455c1c7a662023-11-23T22:24:02ZengMDPI AGUniverse2218-19972022-02-018213610.3390/universe8020136Black Hole Surface Gravity in Doubly Special Relativity GeometriesJosé Javier Relancio0Stefano Liberati1Dipartimento di Fisica “Ettore Pancini”, Università di Napoli Federico II, 80125 Naples, ItalySISSA, International School for Advanced Studies, Via Bonomea 265, 34136 Trieste, ItalyIn a quantum gravity theory, spacetime at mesoscopic scales can acquire a novel structure very different from the classical concept of general relativity. A way to effectively characterize the quantum nature of spacetime is through a momentum dependent space-time metric. There is a vast literature showing that this geometry is related to relativistic deformed kinematics, which is precisely a way to capture residual effects of a quantum gravity theory. In this work, we study the notion of surface gravity in a momentum dependent Schwarzschild black hole geometry. We show that using the two main notions of surface gravity in general relativity we obtain a momentum independent result. However, there are several definitions of surface gravity, all of them equivalent in general relativity when there is a Killing horizon. We show that in our scheme, despite the persistence of a Killing horizon, these alternative notions only agree in a very particular momentum basis, obtained in a previous work, so further supporting its physical relevance.https://www.mdpi.com/2218-1997/8/2/136quantum gravity phenomenologyrelativistic deformed kinematicsHamilton geometrysurface gravityblack holes |
| spellingShingle | José Javier Relancio Stefano Liberati Black Hole Surface Gravity in Doubly Special Relativity Geometries Universe quantum gravity phenomenology relativistic deformed kinematics Hamilton geometry surface gravity black holes |
| title | Black Hole Surface Gravity in Doubly Special Relativity Geometries |
| title_full | Black Hole Surface Gravity in Doubly Special Relativity Geometries |
| title_fullStr | Black Hole Surface Gravity in Doubly Special Relativity Geometries |
| title_full_unstemmed | Black Hole Surface Gravity in Doubly Special Relativity Geometries |
| title_short | Black Hole Surface Gravity in Doubly Special Relativity Geometries |
| title_sort | black hole surface gravity in doubly special relativity geometries |
| topic | quantum gravity phenomenology relativistic deformed kinematics Hamilton geometry surface gravity black holes |
| url | https://www.mdpi.com/2218-1997/8/2/136 |
| work_keys_str_mv | AT josejavierrelancio blackholesurfacegravityindoublyspecialrelativitygeometries AT stefanoliberati blackholesurfacegravityindoublyspecialrelativitygeometries |