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Thermodynamics of Many Black Holes

Gregory, Ruth and Lim, Zheng Liang and Scoins, Andrew (2021) 'Thermodynamics of Many Black Holes.', Frontiers in Physics, 9 . p. 666041.


We discuss the thermodynamics of an array of collinear black holes which may be accelerating. We prove a general First Law, including variations in the tensions of strings linking and accelerating the black holes. We analyse the implications of the First Law in a number of instructive cases, including that of the C-metric, and relate our findings to the previously obtained thermodynamics of slowly accelerating black holes in anti-de Sitter spacetime. The concept of thermodynamic length is found to be robust and a Christoudoulou-Ruffini formula for the C-metric is shown.

Item Type:Article
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Publisher statement:© 2021 Gregory, Lim and Scoins. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
Date accepted:25 March 2021
Date deposited:15 November 2021
Date of first online publication:22 April 2021
Date first made open access:15 November 2021

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