Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-05-25
Nucl.Phys.B724:406-422,2005
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, Application to the AdS black hole braneworld and references added, accepted for publication in Nuclear Physics B
Scientific paper
10.1016/j.nuclphysb.2005.07.011
Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are evaluated for a scalar field obeying mixed boundary condition on a spherical brane in (D+1)-dimensional Rindler-like spacetime $Ri\times S^{D-1}$, where $Ri$ is a two-dimensional Rindler spacetime. This spacetime approximates the near horizon geometry of (D+1) -dimensional black hole in the large mass limit. The vacuum expectation values are presented as the sum of boundary-free and brane-induced parts. Further we extract from the Wightman function for the boundary-free geometry the corresponding function in the bulk $R^{2}\times S^{D-1}$. For the latter geometry the vacuum expectation values of the field square and the energy-momentum tensor do not depend on the spacetime point. For the renormalization of these quantities we use zeta regularization technique. Various limiting cases of the brane-induced vacuum expectation values are investigated.
Saharian Aram A.
Setare Mohammad R.
No associations
LandOfFree
Casimir densities for a spherical brane in Rindler-like spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Casimir densities for a spherical brane in Rindler-like spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Casimir densities for a spherical brane in Rindler-like spacetimes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-641865