Phys. Rev. D 63, 124016 (2001) [5 pages]Gravitating global defects: The gravitational field and compactificationReceived 1 February 2001; published 23 May 2001 We give a prescription to add the gravitational field of a global topological defect to a solution of Einstein’s equations in an arbitrary number of dimensions. We only demand that the original solution have an O(n) invariance with n>~3. We will see that the general effect of a global defect is to introduce a deficit solid angle. We also show how the same kind of scalar field configurations can be used for spontaneous compactification of n extra dimensions on an n-sphere. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.63.124016
DOI:
10.1103/PhysRevD.63.124016
PACS:
04.50.+h, 98.80.Cq
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