2019
DOI: 10.1088/1361-6382/ab2c20
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Extended thermodynamics of self-gravitating skyrmions

Abstract: A modification of the hedgehog ansatz has recently led to novel exact black hole solutions with selfgravitating SU(2) Skyrme fields. Considering a negative cosmological constant the black holes are not asymptotically anti-de Sitter (AdS) but rather asymptote to an AdS version of Barriola-Vilenkin spacetime. We examine the thermodynamics of the system interpreting the cosmological constant as a bulk pressure. We use the standard counterterm method to obtain a finite Euclidean action. For a given coupling of the… Show more

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Cited by 10 publications
(8 citation statements)
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“…where we have used (54). Notice that, as in Section III, the meron's simple nature manifests itself through almost hair-like thermodynamic equations.…”
Section: The Five-dimensional Black Holementioning
confidence: 97%
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“…where we have used (54). Notice that, as in Section III, the meron's simple nature manifests itself through almost hair-like thermodynamic equations.…”
Section: The Five-dimensional Black Holementioning
confidence: 97%
“…However, surface integrals as counterterms for specific matter content have been developed. Close examples to YM merons are skyrmions and axions, for which counterterms have been successfully applied [54,77].…”
Section: B Anti-de Sitter Boundary Countertermsmentioning
confidence: 99%
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“…µν denotes the energy-momentum tensor of the scalar fields constructed out of the induced metric and we do not include the other contributions in I ct since they decay sufficiently fast towards the asymptotic boundary (see also [82][83][84]).…”
Section: Conserved Chargesmentioning
confidence: 99%