Effects of Quantized Scalar Fields in Cosmological Spacetimes with Big Rip Singularities

Abstract

Effects of quantized free scalar fields in cosmological spacetimes with Big Rip singularities are investigated. The energy densities for these fields are computed at late times when the expansion is very rapid. For the massless minimally coupled field it is shown that an attractor state exists in the sense that, for a large class of states, the energy density of the field asymptotically approaches the energy density it would have if it was in the attractor state. Results of numerical computations of the energy density for the massless minimally coupled field and for massive fields with minimal and conformal coupling to the scalar curvature are presented. For the massive fields the energy density is seen to always asymptotically approach that of the corresponding massless field. The question of whether the energy densities of quantized fields can be large enough for backreaction effects to remove the Big Rip singularity is addressed.

PRD version. References added. Several minor corrections and changes. 22 pages, 3 figures

References in corpus (21)

• Phantom Energy and Cosmic Doomsday
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Properties of singularities in (phantom) dark energy universe
• The final state and thermodynamics of dark energy universe
• Sudden Future Singularities
• Approaches to Understanding Cosmic Acceleration
• Quantum escape of sudden future singularity
• More General Sudden Singularities
• Geodesic behavior of sudden future singularities
• "Expansion" around the vacuum equation of state - sudden future singularities and asymptotic behavior
• Classification of cosmological milestones
• Necessary and sufficient conditions for big bangs, bounces, crunches, rips, sudden singularities, and extremality events
• Statefinders, higher-order energy conditions and sudden future singularities
• Attractor states and infrared scaling in de Sitter space
• Singular fate of the universe in modified theories of gravity
• Quantum Particle Production at Sudden Singularities
• Analytic approximation and an improved method for computing the stress-energy of quantized scalar fields in Robertson-Walker spacetimes
• Quantum fields and "Big Rip" expansion singularities
• Particle Production in an expanding universe dominated by dark energy fluid
• On Particles Creation and Renormalization in a Cosmological Model with a Big Rip
• Quantum fields near phantom-energy `sudden' singularities

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• Future singularities if the universe underwent Starobinsky inflation in the past
• Quantum backreaction in evolving FLRW spacetimes
• Stress-Energy Tensor of Adiabatic Vacuum in Friedmann-Robertson-Walker Spacetimes
• Running couplings from adiabatic regularization
• Adiabatic regularization with a Yukawa interaction
• The Casimir effect for parallel plates in Friedmann-Robertson-Walker universe
• Note on the pragmatic mode-sum regularization method: translational-splitting in a cosmological background
• Transition between phantom and non-phantom phases with time dependent cosmological constant and Cardy-Verlinde formula
• Particle creation in flat FRW Universe in the framework of $f(T)$ gravity
• Is the Big Rip unreachable?
• Quantum effects from particle production on background evolution and Cardy-Verlinde formula in f(R) gravity
• Quantum Particle Production Effects on Cosmic Expansion
• Cosmological backreaction of a quantized massless scalar field
• Non-equilibrium evolution of quantum fields during inflation and late accelerating expansion