Exact gravitational field of a string

1985/06/15 by William A. Hiscock · 23 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories

paper · doi:10.1103/physrevd.31.3288

openalex publication_date 1985/06/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

The exact spacetime metric representing the exterior of a static cylindrically symmetric string is found. The geometry is conical, with a deficit angle of 8\ensuremathπG\ensuremathμ, where \ensuremathμ is the linear energy density of the string. The results of Vilenkin, obtained using linearized gravity, are thus shown to be correct to all orders in G\ensuremathμ. Strings with G\ensuremathμ\ensuremath≥(1/4) are found to collapse the exterior spacetime, resulting in dimensional reduction.

Citations

• Topology of cosmic domains and strings
• Gravitational field of vacuum domain walls and strings

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