RT Journal Article T1 Incompressible topological solitons A1 Adam, Christoph A1 Naya Rodríguez, Carlos A1 Oleś, Katarzyna A1 Romańczukiewicz, Tomasz A1 Sánchez Guillén, Joaquín A1 Wereszczynski, Andrzej AB We discover a new class of topological solitons. These solitons can exist in a space of infinite volume like, e.g., Rn, but they cannot be placed in any finite volume because the resulting formal solutions have infinite energy. Therefore, these objects are interpreted as totally incompressible solitons. As a first particular example, we consider (1+1)-dimensional kinks in theories with a nonstandard kinetic term or, equivalently, in models with the so-called runaway (or vacuumless) potentials. But incompressible solitons also exist in higher dimensions. As specific examples, in (3+1) dimensions we study Skyrmions in the dielectric extensions of both the minimal and BPS Skyrme models. In the latter case, the Skyrmionic matter describes a completely incompressible topological perfect fluid PB APS Physics SN 2470-0010 YR 2020 FD 2020 LK http://hdl.handle.net/10347/24215 UL http://hdl.handle.net/10347/24215 LA eng NO Phys. Rev. D 102, 105007 NO C. A. and A. W. acknowledge financial support fromthe Ministry of Education, Culture and Sports, Spain (GrantNo. FPA2017-83814-P), the Xunta de Galicia (GrantNo. INCITE09.296.035PR and Conselleria deEducacion), the Spanish Consolider-Ingenio 2010Programme Centro Nacional de Física de Partículas,Astropartículas y Nuclear CPAN (CSD2007-00042),Maria de Maetzu Unit of Excellence MDM - 2016-0692,and Fondo Europeo de Desarrollo Regional (FEDER). K.O., T. R., and A. W. were supported by the Polish NationalScience Centre, grant NCN 2019/35/B/ST2/00059. C. N. issupported by the Istituto Nazionale di Fisica Nucleare,INFN Grant No. 19292/2017 (Mathematical Methods ofNonlinear Physics) “Integrable Models and TheirApplications to Classical and Quantum Problems.” DS Minerva RD 22 abr 2026