Black ring entropy from the Weyl tensor
| Autor: | Chun-Kai Yu, Ze-Wei Zhao, Nan Li |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Weyl tensor Mathematics::Commutative Algebra Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics Event horizon Astrophysics::High Energy Astrophysical Phenomena Space time Cosmological constant 01 natural sciences Volume integral General Relativity and Quantum Cosmology symbols.namesake 0103 physical sciences Black string symbols Weyl transformation 010306 general physics Entropy (arrow of time) Mathematical physics |
| Zdroj: | Frontiers of Physics. 13 |
| ISSN: | 2095-0470 2095-0462 |
| DOI: | 10.1007/s11467-018-0789-8 |
| Popis: | A black ring is an asymptotically flat vacuum solution of the n-dimensional Einstein equations with an event horizon of topology S1 x Sn-3. In this study, a connection between the black ring entropy and the Weyl tensor Cμvλρ is explored by interpreting the Weyl scalar invariant CμvλρCμvλρ as the entropy density in five-dimensional space-time. It is shown that the proper volume integral of CμvλρCμvλρ for a neutral black ring is proportional to the black ring entropy in the thin-ring limit. Similar calculations are extended to more general cases: a black string, a black ring with two angular momenta, and a black ring with a cosmological constant. The proportionality is also found to be valid for these complex black objects at the leading order. |
| Databáze: | OpenAIRE |
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