Casimir energy-momentum tensor for a brane in de Sitter spacetime
arXiv:hep-th/0311158 · doi:10.1016/j.physletb.2004.01.059
Abstract
Vacuum expectation values of the energy-momentum tensor for a conformally coupled scalar field is investigated in de Sitter (dS) spacetime in presence of a curved brane on which the field obeys the Robin boundary condition with coordinate dependent coefficients. To generate the corresponding vacuum densities we use the conformal relation between dS and Rindler spacetimes and the results previously obtained by one of the authors for the Rindler counterpart. The resulting energy-momentum tensor is non-diagonal and induces anisotropic vacuum stresses. The asymptotic behaviour of this tensor is investigated near the dS horizon and the boundary.
arXiv comment10 pages, no figure
References in corpus (23)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
- A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
- New Developments in the Casimir Effect
- The dS/CFT Correspondence
- Inflation and the dS/CFT Correspondence
- Calculating Vacuum Energies in Renormalizable Quantum Field Theories: A New Approach to the Casimir Problem
- Casimir Effect on the Worldline
- Casimir effect for scalar fields under Robin boundary conditions on plates
- Casimir effect in de Sitter and Anti-de Sitter braneworlds
- Casimir Energies in Light of Quantum Field Theory
- The Casimir Effect on Background of Conformally Flat Brane--World Geometries
- Spectral functions in mathematics and physics
- Bulk versus boundary (gravitational Casimir) effects in quantum creation of inflationary brane-world Universe
- Vacuum energy in a spherically symmetric background field
- Scalar Casimir effect for D-dimensional spherically symmetric Robin boundaries
- Casimir energy for de Sitter branes in bulk AdS(5)
- Casimir Effects in Renormalizable Quantum Field Theories
- The ground state energy of a spinor field in the background of a finite radius flux tube
- Vacuum densities and zero-point energy for fields obeying Robin conditions on cylindrical surfaces
- Polarization of the Fulling-Rindler vacuum by uniformly accelerated mirror
- Casimir stress on parallel plates in de Sitter space
Cited by in corpus (43)
- Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension
- The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
- Repulsive Casimir effect from extra dimensions and Robin boundary conditions: from branes to pistons
- The Casimir Effect in the Presence of a Minimal Length
- Surface Casimir densities and induced cosmological constant on parallel branes in AdS
- Surface Casimir densities and induced cosmological constant in higher dimensional braneworlds
- Fermionic Casimir effect for parallel plates in the presence of compact dimensions with applications to nanotubes
- Wightman function and vacuum fluctuations in higher dimensional brane models
- Fermionic condensate and Casimir densities in the presence of compact dimensions with applications to nanotubes
- Casimir effect in de Sitter spacetime with compactified dimension
- Casimir effect for parallel plates in de Sitter spacetime
- Fermionic Casimir effect in toroidally compactified de Sitter spacetime
- Fermionic Casimir densities in anti-de Sitter spacetime
- Fermionic current from topology and boundaries with applications to higher-dimensional models and nanophysics
- Casimir densities for a plate in de Sitter spacetime
- Casimir Effect in Spacetime with Extra Dimensions -- From Kaluza-Klein to Randall-Sundrum Models
- Wightman function and vacuum densities in de Sitter spacetime with toroidally compactified dimensions
- Surface vacuum energy and stresses on a plate uniformly accelerated through the Fulling-Rindler vacuum
- Fermionic vacuum densities in higher-dimensional de Sitter spacetime
- Surface vacuum energy and stresses for a brane in de Sitter spacetime
- Casimir densities for a spherical brane in Rindler-like spacetimes
- Finite temperature Casimir effect for scalar field with Robin boundary conditions in spacetime with extra dimensions
- Wightman function and Casimir densities for Robin plates in the Fulling-Rindler vacuum
- Casimir energy-momentum tensor for the Robin Surfaces in de Sitter Spacetime
- Wightman function and vacuum densities for a Z_2-symmetric thick brane in AdS spacetime
- Vacuum densities for a brane intersecting the AdS boundary
- Wightman function and the Casimir effect for a Robin sphere in a constant curvature space
- Electromagnetic two-point functions and the Casimir effect in Friedmann-Robertson-Walker cosmologies
- Casimir effect for curved boundaries in Robertson-Walker spacetime
- Fermionic condensate and the mean energy-momentum tensor in the Fulling-Rindler vacuum
- Casimir densities for two spherical branes in Rindler-like spacetimes
- Vacuum currents in partially compactified Rindler spacetime with an application to cylindrical black holes
- Mean field squared and energy-momentum tensor for the hyperbolic vacuum in dS spacetime
- Atlas of Coordinate Charts on de Sitter Spacetime
- Vacuum densities for a thick brane in AdS spacetime
- Casimir densities for a boundary in Robertson-Walker spacetime
- Casimir stress on parallel plates in de Sitter space with signature change
- Casimir effect for a spherical shell in de Sitter spacetime with signature change
- Acceleration in de Sitter spacetimes
- Casimir densities induced by a sphere in the hyperbolic vacuum of de Sitter spacetime
- Fermionic Casimir effect in de Sitter spacetime
- Casimir energy through transfer operators for sine-Gordon backgrounds
- Casimir effect for concentric spheres in de Sitter spacetime with signature change