Scalar hair of global defect and black brane world

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Published 7 July 2004 • Published under licence by IOP Publishing Ltd
, , Citation Yoonbai Kim and Dong Hyun Park JHEP06(2004)052 DOI 10.1088/1126-6708/2004/06/052

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Author affiliations

1 BK21 Physics Research Division and Institute of Basic Science, Sungkyunkwan University, Suwon 440-746, Korea

2 Center for Proton Therapy, National Cancer Center, Goyang 411-769, Korea

Dates

  1. Received 19 February 2004
  2. Accepted 28 June 2004
  3. Published

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1126-6708/2004/06/052

Abstract

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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10.1088/1126-6708/2004/06/052