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A method is presented for computing approximate expressions for the stochastic force term $\xi_{ab}$ which appears in the Einstein-Langevin equation of stochastic gravity. Within this framework, $\xi_{ab}$ is a stochastic tensor field whose…

General Relativity and Quantum Cosmology · Physics 2013-03-08 Jason D. Bates

Semi-classical gravity is an approximation to quantum gravity where gravity is treated classically and matter quantum mechanically. Matter is described by quantum field theory on curved space-time, whereas gravity is described by a…

General Relativity and Quantum Cosmology · Physics 2019-02-07 Ward Struyve

We analyze the expectation value of the energy-momentum tensor and its fluctuations in quantum field theory on curved spacetimes $\langle T_{ab} \rangle$. A generally accepeted condition for the conceptual consistency of semiclassical…

General Relativity and Quantum Cosmology · Physics 2026-01-22 Alejandro Perez , Daniel Sudarsky

The subject of this thesis is the coupling of quantum fields to a classical gravitational background in a semiclassical fashion. It contains a thorough introduction into quantum field theory on curved spacetime with a focus on the…

Mathematical Physics · Physics 2015-03-09 Daniel Siemssen

A theory of quantum gravity consists of a gravitational framework which, unlike general relativity, takes into account the quantum character of matter. In spite of impressive advances, no fully satisfactory, self-consistent and empirically…

General Relativity and Quantum Cosmology · Physics 2025-06-23 R. Muciño , E. Okon , D. Sudarsky , M. Wiedemann

A quantitative test for the validity of the semi-classical approximation in gravity is given. The criterion proposed is that solutions to the semi-classical Einstein equations should be stable to linearized perturbations, in the sense that…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Paul R. Anderson , Carmen Molina-Paris , Emil Mottola

We consider the classical stochastic fluctuations of spacetime geometry induced by quantum fluctuations of massless non-conformal matter fields in the Early Universe. To this end, we supplement the stress-energy tensor of these fields with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Calzetta , A. Campos , E. Verdaguer

We describe a kinetic theory approach to quantum gravity -- by which we mean a theory of the microscopic structure of spacetime, not a theory obtained by quantizing general relativity. A figurative conception of this program is like…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. L. Hu

We discuss the limits of validity of the semiclassical theory of gravity in which a classical metric is coupled to the expectation value of the stress tensor. It is argued that this theory is a good approximation only when the fluctuations…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Chung-I Kuo , L. H. Ford

Assuming that the mechanism proposed by Gell-Mann and Hartle works as a mechanism for decoherence and classicalization of the metric field, we formally derive the form of an effective theory for the gravitational field in a semiclassical…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Rosario Martin , Enric Verdaguer

We propose to formulate a theory for Classical Stochastic Gravity for certain applications in Astrophysics and Cosmology.This involves the Langevin approach in curved spacetime, which is introduced here, in the form of a classical…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Seema Satin

The quantum fluctuation of the stress tensor of a quantum field are discussed, as are the resulting spacetime metric fluctuations. Passive quantum gravity is an approximation in which gravity is not directly quantized, but fluctuations of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. H. Ford , Chun-Hsien Wu

We analyze the thermal fluctuations of a free, conformally invariant, Maxwell quantum field (photon) interacting with a cosmological background spacetime, in the framework of quantum field theory in curved spacetimes and semiclassical and…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Markus B. Fröb , Dražen Glavan , Paolo Meda

Semiclassical gravity, in which a classical spacetime is sourced by the quantum expectation value of the stress-energy tensor, is a standard framework for describing the gravitational interaction of quantum matter. In the nonrelativistic…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Hollis Williams

We present an extension of the semiclassical Einstein equations which couples n-point correlation functions of a stochastic Einstein tensor to the n-point functions of the quantum stress-energy tensor. We apply this extension to calculate…

General Relativity and Quantum Cosmology · Physics 2015-03-10 Nicola Pinamonti , Daniel Siemssen

We calculate the expectation values of the stress-energy bitensor defined at two different spacetime points $x, x'$ of a massless, minimally coupled scalar field with respect to a quantum state at finite temperature $T$ in a flat…

High Energy Physics - Theory · Physics 2016-03-23 H. T. Cho , B. L. Hu

A novel semiclassical gravity model proposed by Oppenheim et al., that consistently describes interactions between quantum systems and a classical gravitational field, has recently attracted considerable attention. However, the limitations…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Tomoya Hirotani , Akira Matsumura

Semiclassical gravity is investigated in a large class of asymptotically flat, static, spherically symmetric spacetimes including those containing static stars, black holes, and wormholes. Specifically the stress-energy tensors of massless…

General Relativity and Quantum Cosmology · Physics 2011-02-02 Eric D. Carlson , Paul R. Anderson , Alessandro Fabbri , Serena Fagnocchi , William H. Hirsch , Sarah A. Klyap

Semiclassical gravity couples classical gravity to the quantized matter in meanfield approximation. The meanfield coupling is problematic for two reasons. First, it ignores the quantum fluctuation of matter distribution. Second, it violates…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Lajos Diósi

A correspondence between fluctuations of conformally invariant quantum fields and that of classical fields finally reducing to perfect fluid matter content is shown to exist. Previously a similar correspondence between the stress tensors…

General Relativity and Quantum Cosmology · Physics 2019-08-21 Seema Satin