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Stochastic semiclassical gravity is a theory for the interaction of gravity with quantum matter fields which goes beyond the semiclassical limit. The theory predicts stochastic fluctuations of the classical gravitational field induced by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Enric Verdaguer

The back-reaction of a classical gravitational field interacting with quantum matter fields is described by the semiclassical Einstein equation, which has the expectation value of the quantum matter fields stress tensor as a source. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Verdaguer

Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein-Langevin…

General Relativity and Quantum Cosmology · Physics 2016-10-19 B. L. Hu , E. Verdaguer

Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein-Langevin…

General Relativity and Quantum Cosmology · Physics 2015-05-13 B. L. Hu , E. Verdaguer

Stochastic semiclassical gravity of the 90's is a theory naturally evolved from semiclassical gravity of the 70's and 80's. It improves on the semiclassical Einstein equation with source given by the expectation value of the stress-energy…

General Relativity and Quantum Cosmology · Physics 2017-08-23 B. L. Hu , E. Verdaguer

In the first part of this paper, we show that the semiclassical Einstein-Langevin equation, introduced in the framework of a stochastic generalization of semiclassical gravity to describe the back reaction of matter stress-energy…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Rosario Martin , Enric Verdaguer

Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein- Langevin…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu , E. Verdaguer

The semiclassical Einstein-Langevin equations which describe the dynamics of stochastic perturbations of the metric induced by quantum stress-energy fluctuations of matter fields in a given state are considered on the background of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Rosario Martin , Enric Verdaguer

Semiclassical Einstein-Langevin equations for arbitrary small metric perturbations conformally coupled to a massless quantum scalar field in a spatially flat cosmological background are derived. Use is made of the fact that for this problem…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Antonio Campos , Enric Verdaguer

Developments in theoretical cosmology in the recent decades show a close connection with particle physics, quantum gravity and unified theories. Answers or hints to many fundamental questions in cosmology like the homogeneity and isotropy…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu

In semiclassical gravity the back-reaction of the classical gravitational field interacting with quantum matter fields is described by the semiclassical Einstein equations. A criterion for the validity of semiclassical gravity based on the…

General Relativity and Quantum Cosmology · Physics 2011-08-04 E. Verdaguer

We introduce a semiclassical Einstein-Langevin equation as a consistent dynamical equation for a first order perturbative correction to semiclassical gravity. This equation includes the lowest order quantum stress-energy fluctuations of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rosario Martin , Enric Verdaguer

Environment interaction may induce stochastic semiclassical dynamics in open quantum systems. In the gravitational context, stress-energy fluctuations of quantum matter fields give rise to a stochastic behaviour in the spacetime geometry.…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Albert Roura , Enric Verdaguer

In the context of semiclassical gravity, the semiclassical Einstein equation is often invoked when backreaction of quantum matter/fields on the spacetime is at stake. It is expected to hold when quantum fluctuations are small. Yet, it is…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Gustavo Schranck Habermann , Daniel A. Turolla Vanzella

We discuss the stability of semiclassical gravity solutions with respect to small quantum corrections by considering the quantum fluctuations of the metric perturbations around the semiclassical solution. We call the attention to the role…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu , Albert Roura , 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 Einstein-Langevin equation is a perturbative correction to the semiclassical Einstein equation which takes into account the lowest order quantum fluctuations of the matter stress-energy tensor. It predicts classical stochastic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rosario Martin , Enric 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

Using the influence functional formalism we show how to derive a generalized Einstein equation in the form of a Langevin equation for the description of the backreaction of quantum fields and their fluctuations on the dynamics of curved…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Be-lok Hu , Andrew Matacz

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
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