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This article will summarize selected aspects of the semiclassical theory of gravity, which involves a classical gravitational field coupled to quantum matter fields. Among the issues which will be discussed are the role of quantum effects…

General Relativity and Quantum Cosmology · Physics 2016-11-23 L. H. Ford

Strategies intended to resolve the problem of time in quantum gravity by means of emergent or hidden timefunctions are considered in the arena of relational particle toy models. In situations with `heavy' and `light' degrees of freedom, two…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Edward Anderson

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

Contents: 1) Introduction and a few excursions [A word on the role of explicit solutions in other parts of physics and astrophysics. Einstein's field equations. "Just so" notes on the simplest solutions: The Minkowski, de Sitter and anti-de…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiri Bicak

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

We analyse the impact of positivity conditions on static spherically symmetric deformations of the Schwarzschild space-time. The metric is taken to satisfy, at least asymptotically, the Einstein equation in the presence of a non-trivial…

General Relativity and Quantum Cosmology · Physics 2023-05-23 A. D'Alise , G. Fabiano , D. Frattulillo , S. Hohenegger , D. Iacobacci , F. Pezzella , F. Sannino

Boson stars have been extensively studied in classical gravity, but their quantum properties remain comparatively unexplored. In this paper, we compute the quantum scalar fields and stress tensor in boson star spacetimes within the…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Paul M. Saffin , Qi-Xin Xie

One of the main technical obstacles in constructing a consistent theory of quantum gravity is that the metric itself defines the causal structure required for quantization. This motivates implementing quantum aspects of gravity through an…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Johas Morales , Yuri Bonder

The Einstein equations, apart from being the classical field equations of General Relativity, are also the classical field equations of two other theories of gravity. As the experimental tests of General Relativity are done using the…

General Relativity and Quantum Cosmology · Physics 2019-11-12 Sebastian Bahamonde , Mir Faizal

The last decades have witnessed an unprecedented advancement in our knowledge of the large scale universe. In particular, increasingly accurate cosmological observations have allowed us to discover a form of "dark energy", which presently…

General Relativity and Quantum Cosmology · Physics 2022-04-11 Eduardo Amancio Barbosa Oliveira

In this paper, we consider how to formulate semiclassical problems in the context of the AdS/CFT correspondence, based on the proposal of Compere and Marolf. Our prescription involves the effective action with self-action term for boundary…

High Energy Physics - Theory · Physics 2023-06-19 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

The concept of a particle is ambiguous in quantum field theory. It is generally agreed that particles depend not only on spacetime, but also on coordinates used to parametrise spacetime points. One of us has in contrast proposed a…

General Relativity and Quantum Cosmology · Physics 2026-04-07 V. A. Emelyanov , D. Robertz

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

A general formalism for understanding the thermodynamics of horizons in spherically symmetric spacetimes is developed. The formalism reproduces known results in the case of black hole spacetimes. But its power lies in being able to handle…

General Relativity and Quantum Cosmology · Physics 2010-11-19 T. Padmanabhan

We establish the linear instability of the semiclassical Einstein-Klein-Gordon system linearised about the Minkowski vacuum spacetime. The proof relies on formulating a forcing problem for both metric and state perturbations within the…

Mathematical Physics · Physics 2026-04-02 Stefano Galanda , Paolo Meda , Simone Murro , Nicola Pinamonti , Gabriel Schmid

In this and a companion paper, we show that quantum field theories with gauge symmetries permit a broader class of classical dynamics than typically assumed. In this article, we show that the dynamics extracted from the path integral or…

High Energy Physics - Theory · Physics 2023-05-04 David E. Kaplan , Tom Melia , Surjeet Rajendran

The intuitive classical space-time picture breaks down in quantum gravity, which makes a comparison and the development of semiclassical techniques quite complicated. Using ingredients of the group averaging method to solve constraints one…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Martin Bojowald , Parampreet Singh , Aureliano Skirzewski

We show that there exist solutions to the semi-classical gravity equations in de Sitter spacetime sourced by the renormalised stress-energy tensor of a free Klein-Gordon field. For the massless scalar, solutions exist for every possible…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Benito A. Juárez-Aubry

The averaging problem in general relativity is briefly discussed. A new setting of the problem as that of macroscopic description of gravitation is proposed. A covariant space-time averaging procedure is described. The structure of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Roustam M. Zalaletdinov

This thesis explores Quantum Field Theory (QFT) on curved spacetimes using a geometric Hamiltonian approach to the Schr\"odinger-like representation. In particular it studies the theory of the scalar field described through its…

Mathematical Physics · Physics 2025-02-19 David Martínez-Crespo