{"data":{"abstract":{"value":"
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-Nordström 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 , as well as the vacuum expectation value and the coupling constant of the Higgs field. Keeping small, we find there are two critical values of the cosmological constant, and , which depend on . If , we find the first order transition, whereas if , the transition becomes second order. For the case of , we again find the first order irreversible transition from the monopole black hole to the extreme Reissner-Nordström black hole. Beyond , no monopole black hole exists. We also discuss thermodynamical properties of the monopole black hole in a thermal bath system.
","format":"html"},"articleType":"article","authors":[{"type":"Person","name":"Shoichiro Miyashita","firstname":"Shoichiro","surname":"Miyashita","affiliationIds":["a1"]},{"type":"Person","name":"Kei-ichi Maeda","firstname":"Kei-ichi","surname":"Maeda","affiliationIds":["a1"]}],"affiliations":[{"name":"Department of Physics, Waseda University, Okubo 3-4-1, Shinjuku, Tokyo 169-8555, Japan","id":"a1"}],"notes":[{"format":"html","value":"miyashita-at-gravity.phys.waseda.ac.jp
","label":"*","id":"n1","type":"contrib"},{"format":"html","value":"maeda-at-waseda.jp
","label":"†","id":"n2","type":"contrib"}],"date":"2016-12-23","fundings":[{"funderId":"http://dx.doi.org/10.13039/501100001691","funderName":"Japan Society for the Promotion of Science","awards":["25400276","16K05362"]}],"type":"article","metadata_last_modified_at":"2016-12-23T15:06:06+0000","last_modified_at":"2016-12-23T15:06:06+0000","id":"10.1103/PhysRevD.94.124037","identifiers":{"doi":"10.1103/PhysRevD.94.124037"},"issue":{"number":"12"},"pageStart":"124037","hasArticleId":true,"numPages":17,"classificationSchemes":{"physh":{"concepts":[{"id":"421e122f-4752-421c-8af6-88e0df808bb2","facet":{"id":"bdb1ef91-b776-4e36-8f8f-3e93666bac1e"},"primary":true},{"id":"824c5bb5-1d38-4fff-9104-1fdc765ad06b","facet":{"id":"bdb1ef91-b776-4e36-8f8f-3e93666bac1e"},"primary":false}],"disciplines":["0f4313da-ec73-46f5-b24f-521a1fcb6db7"]}},"publisher":{"name":"APS"},"rights":{"rightsStatement":"© 2016 American Physical Society","copyrightYear":2016,"copyrightHolders":[{"name":"American Physical Society"}],"creativeCommons":true,"licenses":[{"url":"https://creativecommons.org/licenses/by/4.0/","licenseStatement":"Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI."}]},"journal":{"id":"PRD","abbreviatedName":"Phys. Rev. D","name":"Physical Review D"},"title":{"value":"AdS monopole black hole and phase transition","format":"html"},"tocSection":{"label":"General relativity, alternative theories of gravity"},"volume":{"number":"94"}}}