Exactly solvable gravitating perfect fluid solitons in (2+1) dimensions

doi:10.1007/JHEP07(2018)097

Exactly solvable gravitating perfect fluid solitons in (2+1) dimensions

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Exactly solvable gravitating perfect fluid solitons in (2+1) dimensions

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dc.contributor.author	Adam, C.	pl
dc.contributor.author	Romańczukiewicz, Tomasz [SAP11019141]	pl
dc.contributor.author	Wachla, M.	pl
dc.contributor.author	Wereszczyński, Andrzej [SAP11017887]	pl
dc.date.accessioned	2018-11-23T08:59:05Z
dc.date.available	2018-11-23T08:59:05Z
dc.date.issued	2018	pl
dc.identifier.issn	1126-6708	pl
dc.identifier.uri	https://ruj.uj.edu.pl/xmlui/handle/item/61342
dc.language	eng	pl
dc.rights	Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/pl/legalcode	*
dc.title	Exactly solvable gravitating perfect fluid solitons in (2+1) dimensions	pl
dc.type	JournalArticle	pl
dc.abstract.en	The Bogomolnyi-Prasad-Sommerfield (BPS) baby Skyrme model coupled to gravity is considered. We show that in an asymptotically flat space-time the model still possesses the BPS property, i.e., admits a BPS reduction to first order Bogomolnyi equations, which guarantees that the corresponding proper energy is a linear function of the topological charge. We also find the mass-radius relation as well as the maximal mass and radius. All these results are obtained in an analytical manner, which implies the complete solvability of this selfgravitating matter system. If a cosmological constant is added, then the BPS property is lost. In de Sitter (dS ) space-time both extremal and non-extremal solutions are found, where the former correspond to finite positive pressure solutions of the flat space-time model. For the asymptotic anti-de Sitter (AdS ) case, extremal solutions do not exist as there are no negative pressure BPS baby Skyrmions in flat space-time. Non-extremal solutions with AdS asymptotics do exist and may be constructed numerically. The impact of the negative cosmological constant on the mass-radius relation is studied. We also found two potentials for which exact multi-soliton solutions in the external AdS space can be obtained. Finally, we elaborate on the implications of these findings for certain three-dimensional models of holographic QCD.	pl
dc.description.volume	2018	pl
dc.description.number	7	pl
dc.identifier.doi	10.1007/JHEP07(2018)097	pl
dc.identifier.eissn	1029-8479	pl
dc.title.journal	The Journal of High Energy Physics	pl
dc.language.container	eng	pl
dc.affiliation	Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego	pl
dc.subtype	Article	pl
dc.identifier.articleid	97	pl
dc.rights.original	CC-BY; otwarte czasopismo; ostateczna wersja wydawcy; w momencie opublikowania; 0	pl
dc.identifier.project	ROD UJ / OP	pl
.pointsMNiSW	[2018 A]: 40