Noncommutative Reissner–Nordstrøm black hole
| Autor: | Susana Valdez-Alvarado, Carlos A. Soto-Campos |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Riemann curvature tensor Spacetime 010308 nuclear & particles physics Event horizon General relativity General Physics and Astronomy Riemannian geometry Curvature 01 natural sciences Noncommutative geometry General Relativity and Quantum Cosmology symbols.namesake 0103 physical sciences symbols Quantum gravity 010306 general physics Mathematical physics |
| Zdroj: | Canadian Journal of Physics. 96:1259-1265 |
| ISSN: | 1208-6045 0008-4204 |
| DOI: | 10.1139/cjp-2017-0599 |
| Popis: | A deformed embedding of the Reissner-Nordstr{\o}m spacetime is constructed within the framework of a noncommutative Riemannian geometry. We find noncommutative corrections to the usual Riemannian expressions for the metric and curvature tensors, which, in the case of the metric, are valid to all orders in the deformation parameter. We calculate the area of the event horizon of the corresponding noncommutative R-N black-hole, obtaining corrections up to fourth order in the deformation parameter for the area of the black-hole. Finally we include some comments on the noncommutative version on one of the second order scalar invariants of the Riemann tensor, the so called Kretschmann invariant, a quantity regularly used in order to extend gravity to quantum level. Comment: 7 page |
| Databáze: | OpenAIRE |
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