Scalar Hair of Global Defect and Black Brane World

Details Scalar Hair of Global Defect and Black Brane World Scalar Hair of Global Defect and Black Brane World

2004-01-27

arxiv.org/abs/hep-th/0401207v2

JHEP 0406 (2004) 052

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 2 figures

Scientific paper

10.1088/1126-6708/2004/06/052

We consider a complex scalar field in (p+3)-dimensional bulk with a negative cosmological constant and study global vortices in two extra-dimensions. We reexamine carefully the coupled scalar and Einstein equations, and show that the boundary value of scalar amplitude at infinity of the extra-dimensions should be smaller than vacuum expectation value. The brane world has a cigar-like geometry with an exponentially decaying warp factor and a flat thick p-brane is embedded. Since a coordinate transformation identifies the obtained brane world as a black p-brane world bounded by a horizon, this strange boundary condition of the scalar amplitude is understood as existence of a short scalar hair.

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