1976
DOI: 10.1088/0305-4470/9/8/029
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Topology of cosmic domains and strings

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Cited by 4,413 publications
(4,981 citation statements)
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“…(1) is σ 2 S D with S D = 2π D/2 /Γ(D/2) being the total area of the surface of the unit sphere in D-dimensional Euclidean space. This leads to the solid angle deficit (1 − σ 2 )S D in the spacetime given by line element (1). It is of interest to note that the effective metric produced in superfluid 3 He − A by a monopole is described by the three dimensional version of the line element (1) with the negative angle deficit, σ > 1, which corresponds to the negative mass of the topological object [19].…”
Section: Wightman Functionmentioning
confidence: 99%
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“…(1) is σ 2 S D with S D = 2π D/2 /Γ(D/2) being the total area of the surface of the unit sphere in D-dimensional Euclidean space. This leads to the solid angle deficit (1 − σ 2 )S D in the spacetime given by line element (1). It is of interest to note that the effective metric produced in superfluid 3 He − A by a monopole is described by the three dimensional version of the line element (1) with the negative angle deficit, σ > 1, which corresponds to the negative mass of the topological object [19].…”
Section: Wightman Functionmentioning
confidence: 99%
“…With this coordinate, in general, we will obtain non-standard angular part in the exterior line element (1). For the metric corresponding to line element (2) the nonzero components of the Ricci tensor are given by expressions (no summation over i, we adopt the convention of Birrell and Davies [20] for the curvature tensor)…”
Section: Wightman Functionmentioning
confidence: 99%
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“…Since the Planck time, the Universe has, through its expansion, steadily cooled down and a series of phase transitions followed by Spontaneously Symmetry Breaking 2 (SSBs) took place in the framework of GUTs. Such SSBs may have left behind topological defects as false vacuum remnants, via the Kibble mechanism [6].…”
Section: Topological Defects In Gutsmentioning
confidence: 99%
“…Domain walls form when a discrete symmetry is spontaneously broken [1][2][3][4][5]. In simplest models, symmetry breaking is accomplished by a real scalar field φ whose vacuum manifold is disconnected.…”
Section: Introductionmentioning
confidence: 99%