Astronomy and Astrophysics – Astrophysics
Scientific paper
Jan 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005ap.....48..122s&link_type=abstract
Astrophysics, Volume 48, Issue 1, pp.122-133
Astronomy and Astrophysics
Astrophysics
3
Cosmology, Brane-World — Cosmology, Casimir Effect, Cosmology - Brane-World —, Cosmology - Casimir Effect
Scientific paper
The vacuum expectations of the surface energy-momentum tensor generated on a brane in AdS space-time by quantum fluctuations of a scalar field with an arbitrary coupling parameter are studied. It is assumed that the field satisfies mixed boundary conditions on the brane. A generalized zeta function method is used as a regularization procedure. Two regions, located to the left (L-region) and right (R-region) of the brane, are considered. It is shown that the surface energies for both these regions contain pole and finite contributions. Analytic expressions are derived for both parts. When calculating the total surface energy including the contributions from the L- and R-regions, the pole terms add out in odd spatial dimensions. The surface energy-momentum tensor induced by vacuum quantum effects corresponds to the generation of a cosmological constant on the brane. These results are applied to the second Randall-Sundrum model.
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