Publication: Existence of global strings coupled to gravity
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1989-03-15
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American Physical Soc
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Abstract
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.
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© 1989 The American Physical Society
We 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.
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