Abstract
We investigate the phase structure of a charged AdS dilaton black hole in the extended phase space which takes the cosmological constant, i.e. the AdS-$\Lambda$ parameter as pressures. Through both thermal ensemble and quasinormal mode analysis, we find that stable phase of the black hole with non-trivial dilaton profiles always exists for both large and small couplings when the AdS-$\Lambda$ is considered dynamical degrees of freedom. This forms a somewhat contrast with previous works which does not do so. Our results provide new examples for the parallelism or equivalences between thermal ensemble methods and dynamic perturbation analysis for black hole phase structures.
Highlights
Anti–de Sitter space/conformal field theory correspondence [1], i.e., AdS=CFT, is a powerful method to unify quantum fields and gravitations
Studies on thermodynamics of the AdS black hole are of great interest due to their relevance to thermal field theories defined on the boundary spacetime [2]
This was first discussed by Hawking and Page in [3], where a thermal radiation/large AdS black hole phase transition was discovered in simple Einstein gravitations with AdS asymptotics
Summary
Anti–de Sitter space/conformal field theory correspondence [1], i.e., AdS=CFT, is a powerful method to unify quantum fields and gravitations. Phase transitions always occur in ordinary thermodynamic systems, so we naturally expect that such phenomena appear in black holes according to the AdS=CFT correspondence. [21,22], new perspectives suggest that pressures can be identified with the negative cosmological constant P 1⁄4 −Λ=8π 1⁄4 ðd − 1Þðd − 2Þ=ð16πL2Þ with the conjugate volume defined as V 1⁄4 ð∂∂MPÞQ;S and the black hole mass interpreted as enthalpies of the system In this extended phase space, many new phenomena [23,24,25,26,27,28,29,30] related with the AdS charged black holes are explored; e.g., the small/large hole transition is investigated and interpreted as the van der Waals liquid/gas transition in ordinary thermal systems.
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