Special cosmological models derived from the semiclassical Einstein equation on flat FLRW space-times

DOI10.1088/1361-6382/ac6e22zbMath1496.83002arXiv2112.15050OpenAlexW4226016851MaRDI QIDQ5863468

Hanno Gottschalk, Daniel Siemssen, Nicolai R. Rothe

Publication date: 1 June 2022

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.15050

zbMATH Keywords

cosmologyhigher derivative gravityasymptotic de Sitter solutionssemiclassical Einstein equation

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20) Geometrodynamics and the holographic principle (83E05) Numerical computation of solutions to single equations (65H05) Renormalization group methods applied to problems in quantum field theory (81T17) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Propagation of singularities; initial value problems on manifolds (58J47) Dark matter and dark energy (83C56)

Related Items

On the initial value problem for semiclassical gravity without and with quantum state collapses ⋮ Semiclassical gravity with a conformally covariant field in globally hyperbolic spacetimes ⋮ Cosmological de Sitter solutions of the semiclassical Einstein equation ⋮ Linear stability of semiclassical theories of gravity ⋮ The cosmological semiclassical Einstein equation as an infinite-dimensional dynamical system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the initial conditions and solutions of the semiclassical Einstein equations in a cosmological scenario
• Algebras of local observables on a manifold
• Comments on the stress-energy tensor operator in curved spacetime
• Micro-local approach to the Hadamard condition in quantum field theory on curved space-time
• The cosmological semiclassical Einstein equation as an infinite-dimensional dynamical system
• Existence and uniqueness of solutions of the semiclassical Einstein equation in cosmological models
• Global existence of solutions of the semiclassical Einstein equation for cosmological spacetimes
• Semi-classical gravity in de Sitter spacetime and the cosmological constant
• A new type of isotropic cosmological models without singularity
• An introduction to ordinary differential equations
• Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant
• DYNAMICAL BACKREACTION IN ROBERTSON–WALKER SPACETIME
• Higher-order gravity theories and scalar–tensor theories
• CONSERVATION OF THE STRESS TENSOR IN PERTURBATIVE INTERACTING QUANTUM FIELD THEORY IN CURVED SPACETIMES
• Inflationary universe: A possible solution to the horizon and flatness problems
• Cosmological Applications of Algebraic Quantum Field Theory in Curved Spacetimes
• Quantum Fields in Curved Space
• Cosmological de Sitter solutions of the semiclassical Einstein equation