• Corpus ID: 238353969

Semiclassical gravity with a conformally covariant field in globally hyperbolic spacetimes

@inproceedings{JuarezAubry2021SemiclassicalGW,
  title={Semiclassical gravity with a conformally covariant field in globally hyperbolic spacetimes},
  author={Benito A. Ju'arez-Aubry and Sujoy Kumar Modak},
  year={2021}
}
We show two results for semiclassical gravity in globally hyperbolic spacetimes. First, we prove the existence of exact solutions to semiclassical gravity with a massless, conformally coupled Klein-Gordon field in globally hyperbolic spacetimes. Second, we prove that semiclassical gravity in (generically non-static) conformally static, globally hyperbolic spacetimes with a massless, conformally coupled Klein-Gordon field is well posed, when viewed as a coupled theory for the dynamical conformal… 
1 Citations
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References

SHOWING 1-10 OF 30 REFERENCES
Global Existence of Solutions of the Semiclassical Einstein Equation for Cosmological Spacetimes
We study the solutions of the semiclassical Einstein equation in flat cosmological spacetimes driven by a massive conformally coupled scalar field. In particular, we show that it is possible to give
Semiclassical Gravity in Static Spacetimes as a Constrained Initial Value Problem
We study the semiclassical Einstein field equations with a Klein-Gordon field in ultrastatic and static spacetimes. In both cases, the equations for the spacetime metric become constraint equations.
The Cosmological Semiclassical Einstein Equation as an Infinite-Dimensional Dynamical System
We develop a comprehensive framework in which the existence of solutions to the semiclassical Einstein equation (SCE) in cosmological spacetimes is shown. Different from previous work on this
Covariant point-splitting regularization for a scalar quantum field in a Robertson-Walker universe with spatial curvature
  • T. S. Bunch, P. Davies
  • Physics
    Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
  • 1977
We evaluate the vacuum stress tensor for a massless scalar quantum field in a general Robertson-Walker background spacetime, and that for a massive field in the special case of the Einstein universe,
A semiclassical singularity theorem
Quantum fields do not satisfy the pointwise energy conditions that are assumed in the original singularity theorems of Penrose and Hawking. Accordingly, semiclassical quantum gravity lies outside
Semi-classical gravity in de Sitter spacetime and the cosmological constant
Abstract We show that there exist solutions to the semi-classical gravity equations in de Sitter spacetime sourced by the renormalised stress-energy tensor of a free Klein-Gordon field. For the
Existence and Uniqueness of Solutions of the Semiclassical Einstein Equation in Cosmological Models
We prove existence and uniqueness of solutions of the semiclassical Einstein equation in flat cosmological spacetimes driven by a quantum massive scalar field with arbitrary coupling to the scalar
Stable cosmological models driven by a free quantum scalar field
In the mathematically rigorous analysis of semiclassical Einstein equations, the renormalization of the stress-energy tensor plays a crucial role. We address such a topic in the case of a scalar
Semiclassical theories as initial value problems
Motivated by the initial value problem in semiclassical gravity, we study the initial value problem of a system consisting of a quantum scalar field weakly interacting with a classical one. The
Effects of quantum fields on singularities and particle horizons in the early universe. III. The conformally coupled massive scalar field.
  • V. Anderson
  • Physics, Medicine
    Physical review. D, Particles and fields
  • 1985
TLDR
In the limit that the scale factor vanishes the presence of the massive scalar field does not result in any new types of solutions, nor does it eliminate any, so the results of the first paper of this series on the existence of particle horizons are also valid for solutions beginning with zero scale factor if a conformally coupled massive scaler field is present.
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