Abstract
We study a solvable class of five-dimensional dilaton gravity models that continuously interpolate between anti-de Sitter (AdS5), linear dilaton (LD5) and positively curved spacetimes as a function of a continuous parameter ν. The dilaton vacuum expectation value is set by a potential localized on a flat brane. We chart the elementary properties of these backgrounds for any admissible ν, and determine stability conditions of the brane-dilaton system. We find that the spectrum of metric fluctuations can be either continuous or discrete. It features a massless graviton mode confined between the brane and the curvature singularity, and a massive radion mode tied to brane-dilaton stability. We show that, in the presence of a bulk black hole, the holographic theory living on the brane features a perfect fluid. The equation of state of the holographic fluid interpolates between radiation, pressureless matter and vacuum energy as a function of ν. This extends earlier findings on holographic fluids. Our results suggest that the thermodynamics of the fluid mirrors precisely the thermodynamics of the bulk black hole.
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Acknowledgments
We would like to thank Hooman Davoudiasl and Tony Gherghetta for discussions. The work of EM is supported by the project PID2020-114767GB-I00 and by the Ramón y Cajal Program under Grant RYC-2016-20678 funded by MCIN/AEI/10.13039/501100011033 and by “FSE Investing in your future”, by Junta de Andalucía under Grant FQM-225, and by the “Prórrogas de Contratos Ramón y Cajal” Program of the University of Granada. The work of MQ is partly supported by Spanish MICIN under Grant PID2020-115845GB-I00, and by the Catalan Government under Grant 2021SGR00649. IFAE is partially funded by the CERCA program of the Generalitat de Catalunya.
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Fichet, S., Megías, E. & Quirós, M. Holographic fluids from 5D dilaton gravity. J. High Energ. Phys. 2024, 77 (2024). https://doi.org/10.1007/JHEP08(2024)077
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DOI: https://doi.org/10.1007/JHEP08(2024)077