### Abstract

Recent studies have indicated that in a certain critical coupling phase the Einstein-matter-gauge equations may be reduced to a Bogomol'nyi-Einstein system and the solutions are cosmic strings with finite separation. In this paper, we view the spacetime as known and treat the dynamics as being determined by the matter-gauge sector in an asymptotically Euclidean geometry. It is shown that the model admits a continuous family of infinite energy solutions which decay to the symmetric vacuum faster than any exponential functions.

Original language | English (US) |
---|---|

Pages (from-to) | 301-315 |

Number of pages | 15 |

Journal | Royal Society of Edinburgh - Proceedings A |

Volume | 122 |

Issue number | 3-4 |

DOIs | |

State | Published - 1992 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**The existence of a class of cosmic string solutions with infinite energy.** / Yang, Yisong.

Research output: Contribution to journal › Article

*Royal Society of Edinburgh - Proceedings A*, vol. 122, no. 3-4, pp. 301-315. https://doi.org/10.1017/S0308210500021120

}

TY - JOUR

T1 - The existence of a class of cosmic string solutions with infinite energy

AU - Yang, Yisong

PY - 1992

Y1 - 1992

N2 - Recent studies have indicated that in a certain critical coupling phase the Einstein-matter-gauge equations may be reduced to a Bogomol'nyi-Einstein system and the solutions are cosmic strings with finite separation. In this paper, we view the spacetime as known and treat the dynamics as being determined by the matter-gauge sector in an asymptotically Euclidean geometry. It is shown that the model admits a continuous family of infinite energy solutions which decay to the symmetric vacuum faster than any exponential functions.

AB - Recent studies have indicated that in a certain critical coupling phase the Einstein-matter-gauge equations may be reduced to a Bogomol'nyi-Einstein system and the solutions are cosmic strings with finite separation. In this paper, we view the spacetime as known and treat the dynamics as being determined by the matter-gauge sector in an asymptotically Euclidean geometry. It is shown that the model admits a continuous family of infinite energy solutions which decay to the symmetric vacuum faster than any exponential functions.

UR - http://www.scopus.com/inward/record.url?scp=84971137414&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84971137414&partnerID=8YFLogxK

U2 - 10.1017/S0308210500021120

DO - 10.1017/S0308210500021120

M3 - Article

AN - SCOPUS:84971137414

VL - 122

SP - 301

EP - 315

JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

SN - 0308-2105

IS - 3-4

ER -