Linear Stability of Semiclassical Theories of Gravity

@article{Meda2022LinearSO,
  title={Linear Stability of Semiclassical Theories of Gravity},
  author={Paolo Meda and Nicola Pinamonti},
  journal={Annales Henri Poincar{\'e}},
  year={2022}
}
The linearization of semiclassical theories of gravity is investigated in a toy model, consisting of a quantum scalar field in interaction with a second classical scalar field which plays the role of a classical background. This toy model mimics also the evolution induced by semiclassical Einstein equations, such as the one which describes the early universe in the cosmological case. The equations governing the dynamics of linear perturbations around simple exact solutions of this toy model are… 
1 Citations

Cosmological de Sitter Solutions of the Semiclassical Einstein Equation

Exponentially expanding space-times play a central role in contemporary cosmology, most importantly in the theory of inflation and in the Dark Energy driven expansion in the late universe. In this

References

SHOWING 1-10 OF 54 REFERENCES

Semiclassical relativity: The weak-field limit

Semiclassical relativity is a theory in which quantum matter fields interact with a classical gravitational field via the semiclassical Einstein equation G/sub a/b=8..pi.. . We consider, for the case

Linear response, validity of semiclassical gravity, and the stability of flat space

A quantitative test for the validity of the semiclassical approximation in gravity is given. The criterion proposed is that solutions to the semiclassical Einstein equations should be stable to

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

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

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

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

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

Cosmological de Sitter Solutions of the Semiclassical Einstein Equation

Exponentially expanding space-times play a central role in contemporary cosmology, most importantly in the theory of inflation and in the Dark Energy driven expansion in the late universe. In this

Stability of flat spacetime in quantum gravity.

  • Jordan
  • Physics
    Physical review. D, Particles and fields
  • 1987
The one-loop effective field equation describes the back reaction of created particles on the gravitational field, and is calculated in this paper to linear order in the perturbation, confirming Horowitz's conclusion that flat spacetime is unstable in this approximation to the theory.
...