Quantum phase transition of the static extremal black hole coupled to a Stückelberg scalar

Paula Quezada Leon, Olivera Miskovic

Research output: Contribution to journalConference articlepeer-review

Abstract

We show that a static extremal black hole in 4D gravity, non-linearly coupled to a massive Stückelberg scalar, can exhibit a quantum phase transition due to electric charge variations. The critical point exists only if the spacetime possesses cosmological constant (positive or negative) and the mass of the scalar is non-vanishing. In that case, around the critical point, two solutions coexist: Reissner-Nordström (A)dS black hole and the hairy (A)dS black hole. A near-critical expansion reveals that the entropy and its derivative are continuous functions at the critical point. Obtained results are analytical and based on the entropy function formalism.

Original languageEnglish
Article number012020
JournalJournal of Physics: Conference Series
Volume1043
Issue number1
DOIs
StatePublished - 25 Jun 2018
Externally publishedYes
Event20th Chilean Physics Symposium - Santiago, Chile
Duration: 30 Nov 20162 Dec 2016

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