## 9 Citations

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

- PhysicsClassical and Quantum Gravity
- 2022

This article presents numerical work on a special case of the cosmological semiclassical Einstein equation (SCE). The SCE describes the interaction of relativistic quantum matter by the expected…

Semiclassical Gravity in Static Spacetimes as a Constrained Initial Value Problem

- Mathematics, PhysicsAnnales 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.…

The Cosmological Semiclassical Einstein Equation as an Infinite-Dimensional Dynamical System

- Mathematics, PhysicsAnnales Henri Poincaré
- 2018

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…

Effects of Quantum Metric Fluctuations on the Cosmological Evolution in Friedmann-Lemaitre-Robertson-Walker Geometries

- PhysicsPhysics
- 2021

In this paper, the effects of the quantum metric fluctuations on the background cosmological dynamics of the universe are considered. To describe the quantum effects, the metric is assumed to be…

Semiclassical gravity with a conformally covariant field in globally hyperbolic spacetimes

- Mathematics
- 2021

We prove that semiclassical gravity in conformally static, globally hyperbolic spacetimes with a massless, conformally coupled Klein-Gordon ﬁeld is well posed, when viewed as a coupled theory for the…

Linear stability of semiclassical theories of gravity

- Physics
- 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…

Exterior solutions of ultra-compact object candidate from semi-classical gravity

- Mathematics, Physics
- 2021

In a recent paper by Carballo-Rubio [Phys. Rev. Lett. 120, 061102 (2018)], the author proposed an ultra-compact object model, i.e., a combination of black stars and gravastars, from semi-classical…

Ultra-compact objects from semi-classical gravity

- Physics
- 2021

In a recent report, Carballo-Rubio [1] utilizes the semi-classical theory of gravity to obtain a generalized Tolman-Oppenheimer-Volkoff (TOV) equation. This model has a new coupling constant lp…

## References

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Conservation of the Stress Tensor in Perturbative Interacting Quantum Field Theory in Curved Spacetimes

- Physics
- 2004

We propose additional conditions (beyond those considered in our previous papers) that should be imposed on Wick products and time-ordered products of a free quantum scalar field in curved spacetime.…

Comments on the Stress-Energy Tensor Operator in Curved Spacetime

- Physics
- 2003

Abstract: The technique based on a *-algebra of Wick products of field operators in curved spacetime, in the local covariant version proposed by Hollands and Wald, is strightforwardly generalized in…

Stable cosmological models driven by a free quantum scalar field

- Physics
- 2008

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…

Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension

- Physics
- 2008

We develop the Hadamard renormalization of the stress-energy tensor for a massive scalar field theory defined on a general spacetime of arbitrary dimension. Our formalism could be helpful in treating…

Everything you always wanted to know about the cosmological constant problem (but were afraid to ask)

- Physics
- 2012

Analytic Dependence is an Unnecessary Requirement in Renormalization of Locally Covariant QFT

- Mathematics
- 2014

Finite renormalization freedom in locally covariant quantum field theories on curved spacetime is known to be tightly constrained, under certain standard hypotheses, to the same terms as in flat…

Vacuum Expectation Value of the Stress Tensor in an Arbitrary Curved Background: The Covariant Point Separation Method

- Physics
- 1976

A method known as covariant geodesic point separation is developed to calculate the vacuum expectation value of the stress tensor for a massive scalar field in an arbitrary gravitational field. The…

Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics

- Physics
- 1994

In this book, Robert Wald provides a pedagogical introduction to the formulation of quantum field theory in curved spacetime. He begins with a treatment of the ordinary one-dimensional quantum…