Dolan, Brian P. (2013) The compressibility of rotating black holes in D-dimensions. Working Paper. Dublin Institute for Advanced Studies DIAS-STP-13-08.
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Abstract
Treating the cosmological constant as a pressure, in the context of black
hole thermodynamics, a thermodynamic volume for the black hole can be
defined as being the thermodynamic variable conjugate to the pressure, in
the sense of a Legendre transform. The thermodynamic volume is explicitly
calculated, as the Legendre transform of the pressure in the enthalpy, for
a rotating asymptotically anti-de Sitter Myers-Perry black hole in D spacetime
dimensions. The volume obtained is shown to agree with previous
calculations using the Smarr relation. The compressibility is calculated and
shown to be non-negative and bounded.
Taking the limit of zero cosmological constant, the compressibility of a
rotating black hole in asymptotically flat space-times is determined and the
corresponding speed of sound computed. The latter is bounded above and
has an elegant expression purely in terms of the angular momenta, in the
form of quartic and quadratic Casimirs of the rotation group, SO(D − 1).
Item Type: | Monograph (Working Paper) |
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Additional Information: | A version of this article has been published in Classical and Quantum Gravity (2014) Vol.31 035022 (14pp) ISSN 0264-9381. doi:10.1088/0264-9381/31/3/035022 |
Keywords: | compressibility; rotating black holes; D-dimensions; cosmological constant; thermodynamic; |
Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
Item ID: | 4445 |
Depositing User: | Dr. Brian Dolan |
Date Deposited: | 03 Sep 2013 13:23 |
Publisher: | Dublin Institute for Advanced Studies DIAS-STP-13-08 |
Related URLs: | |
URI: | https://mu.eprints-hosting.org/id/eprint/4445 |
Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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