caa a22 4500 469099682 CHVBK 20180323133041.0 cr unu---uuuuu 170328e19921001xx s 000 0 eng 10.1007/BF00398804 doi (NATIONALLICENCE)springer-10.1007/BF00398804 Yang Yisong Department of Mathematics, Carnegie Mellon University, 15213, Pittsburgh, PA, U.S.A. aut An equivalence theorem for string solutions of the Einstein matter-gauge equations [Elektronische Daten] [Yisong Yang] String-like static solutions of the Einstein matter-gauge equations have interesting implications in cosmology. It has been shown recently that, at a critical coupling phase, this system of equations allows a reduction into a coupled Einstein-Bogomol'nyi system. In this Letter, we prove that, in the important case where the underlying two-dimensional Riemannian manifold is either compact or asymptotically Euclidean, the two systems are actually equivalent. Moreover, we show that the standard assumption that the strings reside in a conformally Euclidean surface will give us a metric which fails to be asymptotically Euclidean. In particular, in the radially symmetric case, we establish under the finite energy condition the boundary behavior of the metric. These results may indicate that a string solution will inevitably lead to nonflatness of the space at infinity even on the cross-section. Kluwer Academic Publishers, 1992 Letters in Mathematical Physics Kluwer Academic Publishers 26/2(1992-10-01), 79-90 0377-9017 26:2<79 1992 26 11005 https://doi.org/10.1007/BF00398804 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00398804 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Yang Yisong Department of Mathematics, Carnegie Mellon University, 15213, Pittsburgh, PA, U.S.A aut NATIONALLICENCE 773 0- Letters in Mathematical Physics Kluwer Academic Publishers 26/2(1992-10-01), 79-90 0377-9017 26:2<79 1992 26 11005 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer