RT Journal Article T1 Existence of global strings coupled to gravity A1 Ruiz Ruiz, Fernando A1 Ortiz, Miguel E. A1 Gibbons, Gary W. AB We consider σ-model strings and U(1) global strings coupled to gravity and look for static solutions with whole cylinder symmetry. We prove that in both cases there are no regular spatially compact solutions. The U(1) global string admits no asymptotically well-behaved solutions, whereas cr model strings can be constructed under certain assumptions. Finally we present somesingular solutions and show that one of the corresponds to a physical global string. PB American Physical Soc SN 0556-2821 YR 1989 FD 1989-03-15 LK https://hdl.handle.net/20.500.14352/59049 UL https://hdl.handle.net/20.500.14352/59049 LA eng NO © 1989 The American Physical SocietyWe would like to thank Tanmay Vachaspati and Ruth Gregory for valuable discussions. F.R.R. is indebted to the Department of Applied Mathematics and Theoretical Physics for their kind hospitality in Cambridge and to the Spanish Ministry of Education and Science for support. NO España. Ministerio de Educación y Ciencia DS Docta Complutense RD 9 abr 2025