On the initial conditions and solutions of the semiclassical Einstein equations in a cosmological scenario

DOI10.1007/s00220-011-1268-zzbMath1223.83056arXiv1001.0864OpenAlexW2164564549MaRDI QIDQ635816

Nicola Pinamonti

Publication date: 23 August 2011

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0864

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45) Renormalization group methods applied to problems in quantum field theory (81T17) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Exact solutions to problems in general relativity and gravitational theory (83C15) Initial value problems for second-order hyperbolic equations (35L15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (21)

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 ⋮ Static symmetric solutions of the semi-classical Einstein-Klein-Gordon system ⋮ Semiclassical gravity in static spacetimes as a constrained initial value problem ⋮ On quantum spacetime and the horizon problem ⋮ Cosmological de Sitter solutions of the semiclassical Einstein equation ⋮ Linear stability of semiclassical theories of gravity ⋮ Functional properties of Hörmander's space of distributions having a specified wavefront set ⋮ Approximate KMS states for scalar and spinor fields in Friedmann-Robertson-Walker spacetimes ⋮ Global existence of solutions of the semiclassical Einstein equation for cosmological spacetimes ⋮ Scale-invariant curvature fluctuations from an extended semiclassical gravity ⋮ The Chaplygin gas equation of state for the quantized free scalar field on cosmological spacetimes ⋮ Algebraic Quantum Field Theory in Curved Spacetimes ⋮ Algebraic QFT in Curved Spacetime and Quasifree Hadamard States: An Introduction ⋮ Cosmological Applications of Algebraic Quantum Field Theory ⋮ Quantum Spacetime and Algebraic Quantum Field Theory ⋮ The Meissner effect in the ground state of free charged bosons in a constant magnetic field ⋮ The cosmological semiclassical Einstein equation as an infinite-dimensional dynamical system ⋮ Existence and uniqueness of solutions of the semiclassical Einstein equation in cosmological models ⋮ QUANTUM FIELD THEORY ON CURVED BACKGROUNDS — A PRIMER ⋮ Special cosmological models derived from the semiclassical Einstein equation on flat FLRW space-times

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