AdS Monopole Black Hole and Phase Transition
| Autor: | Miyashita, Shoichiro, Maeda, Kei-ichi |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 94, 124037 (2016) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.94.124037 |
| Popis: | We study the Einstein-SO(3)Yang-Mills-Higgs system with a negative cosmological constant, and find the monopole black hole solutions as well as the trivial Reissner-Nordstr\"{o}m black hole. We discuss thermodynamical stability of the monopole black hole in an isolated system. We expect a phase transition between those two black holes when the mass of a black hole increases or decreases. The type of phase transition depends on the cosmological constant $\Lambda$ as well as the vacuum expectation value $v$ and the coupling constant $\lambda$ of the Higgs field. Fixing $\lambda$ small, we find there are two critical values of the cosmological constant $\Lambda_{\rm cr (1)}(v)$ and $\Lambda_{\rm cr(2)}(v)$, which depend on $v$. If $\Lambda_{\rm cr(1)}(v)<\Lambda (<0)$, we find the first order transition, while if $\Lambda_{\rm cr(2)}(v)<\Lambda<\Lambda_{\rm cr(1)}(v)$, the transition becomes second order. For the case of $\Lambda_{b}(v)<\Lambda<\Lambda_{\rm (2)}(v)$, we again find the first order irreversible transition from the monopole black hole to the extreme Reissner-Nordstr\"{o}m black hole. Beyond $\Lambda_{b}(v)$, no monopole black hole exists. We also discuss thermodynamical properties of the monopole black hole in a thermal bath system. Comment: 16 pages, 34 figures |
| Databáze: | arXiv |
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