Casimir Effects Near the Big Rip Singularity in Viscous Cosmology

Abstract

Analytical properties of the scalar expansion in the cosmic fluid are investigated, especially near the future singularity, when the fluid possesses a constant bulk viscosity ζ. In addition, we assume that there is a Casimir-induced term in the fluid's energy-momentum tensor, in such a way that the Casimir contributions to the energy density and pressure are both proportional to 1/a^4, 'a' being the scale factor. A series expansion is worked out for the scalar expansion under the condition that the Casimir influence is small. Close to the Big Rip singularity the Casimir term has however to fade away and we obtain the same singular behavior for the scalar expansion, the scale factor, and the energy density, as in the Casimir-free viscous case.

7 pages RevTeX, no figures. Minor changes in discussion, some references added. To appear in Gen. Rel. Grav

References in corpus (9)

• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Does Bulk Viscosity Create a Viable Unified Dark Matter Model?
• Uses of zeta regularization in QFT with boundary conditions: a cosmo-topological Casimir effect
• Viscous Ricci Dark Energy
• Viscous Dark Cosmology with Account of Quantum Effects
• Crossing of the w=-1 Barrier in Two-Fluid Viscous Modified Gravity
• Viscous Brane Cosmology with a Brane-Bulk Energy Interchange Term
• Viscous Modified Gravity on a RS Brane Embedded in AdS5
• Two-Fluid Viscous Modified Gravity on a RS Brane

Cited by in corpus (28)

• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Viscous Little Rip Cosmology
• Generalized uncertainty principle corrections in Rastall-Rainbow Casimir wormholes
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Turbulence and Little Rip Cosmology
• Inflationary universe in terms of a van der Waals viscous fluid
• Cardy-Verlinde formula in FRW Universe with inhomogeneous generalized fluid and dynamical entropy bounds near the future singularity
• Finite-time future singularities models in $f(T)$ gravity and the effects of viscosity
• Deformed Matter Bounce with Dark Energy Epoch
• Viscosity-Induced Crossing of the Phantom Barrier
• Analysing dissipative effects in the $\Lambda$CDM model
• Interacting viscous ghost tachyon, K-essence and dilaton scalar field models of dark energy
• Inhomogeneous viscous dark fluid coupled with dark matter in the FRW universe
• Viscous Coupled Fluids in Inflationary Cosmology
• The unified history of the viscous accelerating universe and phase transitions
• QCD modified ghost scalar field dark energy models
• Quasi-Rip and Pseudo-Rip Universes Induced by the Fluid Inhomogeneous Equation of State
• Canonical and phantom scalar fields as an interaction of two perfect fluids
• Viscous Accelerating Universe with Non-linear and Logarithmic Equation of State Fluid
• Interacting viscous entropy-corrected holographic scalar field models of dark energy with time-varying G in modified FRW cosmology
• Holographic representation of the unified early and late universe via a viscous dark fluid
• Dynamical edge modes in Maxwell theory from a BRST perspective, with an application to the Casimir energy
• Quantum effects from particle production on background evolution and Cardy-Verlinde formula in f(R) gravity
• WIMP dark matter in bulk viscous non-standard cosmologies
• FIMP Dark Matter in bulk viscous non-standard cosmologies
• Viscous fluid dynamics with decaying vacuum energy density
• Bjorken expansion in the isotropic Kasner spacetime
• Casimir energy of hyperbolic orbifolds with conical singularities