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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…

广义相对论与量子宇宙学 · 物理学 2015-03-10 Nicola Pinamonti , Daniel Siemssen

In the framework of finite temperature conformal scalar field theory on de Sitter space-time the linearized Einstein equations for the renormalized stress tensor are exactly solved. In this theory quantum field fluctuations are concentrated…

广义相对论与量子宇宙学 · 物理学 2010-04-06 D. V. Fursaev , G. Miele

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…

数学物理 · 物理学 2015-03-09 Daniel Siemssen

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…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Rosario Martin , Enric Verdaguer

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 E. Calzetta , A. Campos , E. 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…

广义相对论与量子宇宙学 · 物理学 2026-05-26 Gustavo Schranck Habermann , Daniel A. Turolla Vanzella

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…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Antonio Campos , Enric Verdaguer

We propose a new model of modified $F(R)$ gravity theory with the function $F(R) = (1/\beta) \arcsin(\beta R)$. Constant curvature solutions corresponding to the flat and de Sitter spacetime are obtained. The Jordan and Einstein frames are…

综合物理 · 物理学 2015-07-24 S. I. Kruglov

Semiclassical Physics in gravitational scenario, in its first approximation (1st order) cares only for the expectation value of stress energy tensor and ignores the inherent quantum fluctuations thereof. In the approach of stochastic…

广义相对论与量子宇宙学 · 物理学 2020-10-22 Ankit Dhanuka , Kinjalk Lochan

We treat a model in which tensor perturbations of de~Sitter spacetime, represented as a spatially flat model, are modified by the effects of the vacuum fluctuations of a massless conformally invariant field, such as the electromagnetic…

广义相对论与量子宇宙学 · 物理学 2011-05-05 Jen-Tsung Hsiang , L. H. Ford , Da-Shin Lee , Hoi-Lai Yu

A spatially flat Robertson-Walker spacetime driven by a cosmological constant is non-conformally coupled to a massless scalar field. The equations of semiclassical gravity are explicitly solved for this case, and a self-consistent de Sitter…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Guillem Perez-Nadal , Albert Roura , Enric Verdaguer

We develop a simple model to study classical fields on the background of a fluctuating spacetime volume. It is applied to formulate the stochastic Einstein equations with a perfect-fluid source. We investigate the particular case of a…

广义相对论与量子宇宙学 · 物理学 2017-09-06 Vladimir Dzhunushaliev , Hernando Quevedo

In the process of work it has been found that space-time quantum fluctuations are naturally described in terms of the deformation parameter introduced on going from the well-known quantum mechanics to that at Planck scales and put forward…

综合物理 · 物理学 2013-06-13 A. E. Shalyt-Margolin

We give a summary of the status of current research in stochastic semiclassical gravity and suggest directions for further investigations. This theory generalizes the semiclassical Einstein equation to an Einstein-Langevin equation with a…

广义相对论与量子宇宙学 · 物理学 2008-11-26 B. L. Hu

We study the dynamics and predictions of a new emergent-universe model recently derived within Quantum Reduced Loop Gravity and based on the so-called statistical regularization scheme. These effective geometries show a dynamical transition…

广义相对论与量子宇宙学 · 物理学 2019-04-24 Javier Olmedo , Emanuele Alesci

A semiclassical cosmological model is considered which consists of a closed Friedmann-Robertson-Walker in the presence of a cosmological constant, which mimics the effect of an inflaton field, and a massless, non-conformally coupled quantum…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Esteban Calzetta , Enric Verdaguer

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 initial conditions at finite time to get…

数学物理 · 物理学 2015-03-10 Nicola Pinamonti , Daniel Siemssen

A correspondence between fluctuations of non-minimally coupled scalar fields and that of an effective fluid with heat flux and anisotropic stresses, is shown. Though the correspondence between respective stress tensors of scalar fields and…

广义相对论与量子宇宙学 · 物理学 2022-05-18 Seema Satin

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…

广义相对论与量子宇宙学 · 物理学 2019-08-21 Seema Satin

In the mathematically rigorous analysis of semiclassical Einstein's equations, the renormalisation of the stress-energy tensor plays a crucial role. We address such a topic in the case of a scalar field with both arbitrary mass and coupling…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Claudio Dappiaggi , Klaus Fredenhagen , Nicola Pinamonti
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