2003
DOI: 10.1088/1126-6708/2003/11/058
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Gravitational hedgehog, stringy hedgehog and stringy sphere

Abstract: We investigate the solutions of Einstein equations such that a hedgehog solution is matched to different exterior or interior solutions via a spherical shell. In the case where both the exterior and the interior regions are hedgehog solutions or one of them is flat, the resulting spherical shell becomes a stringy shell. We also consider more general matchings and see that in this case the shell deviates from its stringy character.

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Cited by 9 publications
(6 citation statements)
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“…[42], we obtain an approximate solution for monopole-hedgehog taking w = 1 out the core of the hedgehog (see also Refs. [57][58][59][60][61]). In this case scalar curvature R is constant and Eq.…”
Section: The Metric Around Of the Global Monopolementioning
confidence: 99%
“…[42], we obtain an approximate solution for monopole-hedgehog taking w = 1 out the core of the hedgehog (see also Refs. [57][58][59][60][61]). In this case scalar curvature R is constant and Eq.…”
Section: The Metric Around Of the Global Monopolementioning
confidence: 99%
“…Hence the area of a sphere of proper radius r is not 4πr 2 , but rather (1 − 8πη 2 ) 4πr 2 . Note that the space-time ( 9) also describes a "cloud of strings" solution [80], namely, a configuration where an ensemble of radially distributed straight cosmic strings, i.e., a Letellier spacetime, intersecting at a common point, which sometimes also called the "string hedgehog configuration [78,81]". Note also that for positive values of (1−8πη 2 ), i.e.…”
Section: The Line Elementmentioning
confidence: 99%
“…Refs. [58][59][60][61][62]). In this case scalar curvature R is constant and Equation (19) comes down to the Einstein's equation:…”
Section: The Metric Around Of the Global Monopolementioning
confidence: 99%