Gravitating superconducting solitons in the (3+1)-dimensional Einstein gauged non-linear -model Fabrizio Canfora, Alex Giacomini, Marcela Lagos, Seung Hun Oh and Aldo Vera Eur. Phys. J. C, 81 1 (2021) 55 Published online: 20 January 2021 DOI: 10.1140/epjc/s10052-021-08854-x