# 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…

## One Citation

Semiclassical Gravity in Static Spacetimes as a Constrained Initial Value Problem

- Physics, MathematicsAnnales Henri Poincaré
- 2021

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.…

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