RT Journal Article
T1 Exactly solvable gravitating perfect fluid solitons in (2 + 1) dimensions
A1 Adam, Christoph
A1 Romanczukiewicz, T.
A1 Wachla, M.
A1 Wereszczynski, Andrzej
K1 Field theories in lower dimensions
K1 Solitons monopoles and instantons
K1 Holography and quark-gluon plasmas
K1 Integrable field theories
AB 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
PB Springer
SN 1029-8479
YR 2018
FD 2018
LK http://hdl.handle.net/10347/21990
UL http://hdl.handle.net/10347/21990
LA eng
NO Adam, C., Romanczukiewicz, T., Wachla, M. et al. Exactly solvable gravitating perfect fluid solitons in (2 + 1) dimensions. J. High Energ. Phys. 2018, 97 (2018)
NO The authors acknowledge financial support from the Ministry of Education, Culture, and Sports, Spain (Grant No. FPA 2014-58-293-C2-1-P), the Xunta de Galicia (Grant No. INCITE09.296.035PR and Conselleria de Educacion), the Spanish Consolider-Ingenio 2010 Programme CPAN (CSD2007-00042), Maria de Maeztu Unit of Excellence MDM-20160692, and FEDER
DS Minerva
RD 23 abr 2026