One-loop effective action around De Sitter space

One - Loop Effective Action around De - Sitter Space ∗

⋆ Supported in part by the EEC contracts SC1-CT92-0792, CHRX-CT93-0340 and CHRXCT94-0621 and by the Greek Ministry of Research grant ΠENE∆ 91E∆358 † Laboratoire Propre du CNRS UPR A.0014 ‡ Unité Propre du CNRS associée à l’ENS et à l’Université de Paris Sud. § email: [email protected] The non-local one-loop contribution to the gravitational effective action around de Sitter space is comput...

Cohomogeneity One Anti De Sitter Space H_1^3

One-loop effective brane action

The one-loop effective action for a p brane embedded in a D = p+2 Minkowski spacetime in the static gauge is calculated. Rescaling the quantum fluctuation by −g0 evaluated on the background brane leads to the one-loop effective action expressed only in terms of infrared and ultraviolet divergent geometric scalars. After the infrared divergences are absorbed into the quantum fluctuation, there r...

cohomogeneity one anti de sitter space h_1^3

‎Spacelike hypersurfaces with constant $S$ or $K$ in de Sitter‎ ‎space or anti-de Sitter space

‎Let $M^n$ be an $n(ngeq 3)$-dimensional complete connected and‎ ‎oriented spacelike hypersurface in a de Sitter space or an anti-de‎ ‎Sitter space‎, ‎$S$ and $K$ be the squared norm of the second‎ ‎fundamental form and Gauss-Kronecker curvature of $M^n$‎. ‎If $S$ or‎ ‎$K$ is constant‎, ‎nonzero and $M^n$ has two distinct principal‎ ‎curvatures one of which is simple‎, ‎we obtain some‎ ‎charact...