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Black holes in the grand canonical ensemble

Apr. 21 - 14:30 - 2022

Speaker: Tiago Fernandes (CENTRA)

Title: Black holes in the grand canonical ensemble

From the successful works of Bekenstein and Hawking, it is known that black holes are thermodynamic objects. In particular, black holes emit particles as a black body at the Hawking temperature, and have a precise entropy, the Bekenstein-Hawking entropy. The nature of the entropy of a black hole is still an open problem, a possible explanation may lie on a theory of quantum gravity. In this seminar, I will talk about the construction of the canonical and grand canonical ensembles for black hole spacetimes using the path integral approach to quantum gravity. Such ensembles determine the thermodynamics of a black hole from a semiclassical approximation of the quantum theory. The seminar is planned as follows: (i) I will summarize previous works, from Gibbons and Hawking, to York and André and Lemos; (ii) I will then describe the results of my current work on the grand canonical ensemble of d-dimensional Reissner-Nordström black holes in a cavity and compare them to the case of a charged conducting sphere in flat d-dimensional spacetime in a cavity.

Room: Sala de Reuniões e Seminários (2-8.3) (2nd Floor of Physics Building)

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