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The Eddington Lagrangian in the purely affine formulation of general relativity generates the Einstein equations with the cosmological constant. The Ferraris-Kijowski purely affine Lagrangian for the electromagnetic field, which has the…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Nikodem J. Poplawski

In canonical gravity, covariance is implemented by brackets of hypersurface-deformation generators forming a Lie algebroid. Lie algebroid morphisms therefore allow one to relate different versions of the brackets that correspond to the same…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Martin Bojowald , Suddhasattwa Brahma , Umut Buyukcam , Fabio D'Ambrosio

We investigate the motion of test particles in quantum-gravitational backgrounds by introducing the concept of q--desics, quantum-corrected analogs of classical geodesics. Unlike standard approaches that rely solely on the expectation value…

General Relativity and Quantum Cosmology · Physics 2025-11-13 Benjamin Koch , Ali Riahinia , Angel Rincon

We develop a general framework for the open dynamics of an ensemble of quantum particles subject to spacetime fluctuations about the flat background. An arbitrary number of interacting bosonic and fermionic particles are considered. A…

General Relativity and Quantum Cosmology · Physics 2017-10-06 Teodora Oniga , Charles H. -T. Wang

Einstein's theory of gravity admits a low energy effective quantum field description from which predictions beyond classical general relativity can be drawn. As gravitational wave detectors improve, one may ask whether non-classical…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Thiago Guerreiro

Motivated by the similarity of the mathematical structure of Einstein's General Relativity in its weak field limit and of Maxwell's theory of electrodynamics it is shown that there are gravitational analogues of the Josephson effect and the…

General Relativity and Quantum Cosmology · Physics 2024-02-07 Claus Lammerzahl , Sebastian Ulbricht

Gravitational waves in cylindrically symmetric Einstein gravity are described by an effective energy tensor with the same form as that of a massless Klein- Gordon field, in terms of a gravitational potential generalizing the Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

The effective field theory of quantum gravity generically predicts non-locality to be present in the effective action, which results from the low-energy propagation of gravitons and massless matter. Working to second order in gravitational…

High Energy Physics - Theory · Physics 2018-10-17 Xavier Calmet , Basem Kamal El-Menoufi , Boris Latosh , Sonali Mohapatra

We focus on the interaction of a plane gravitational wave with electromagnetic fields and we describe this interaction in the proper detector frame where, thanks to the introduction of Fermi coordinates, it is possible to refer to directly…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Matteo Luca Ruggiero

This report studies possible gravitational effects on measurements of fundamental physical observables such as the fine structure constant and the lepton magnetic moment. Although a static gravitational potential does not contribute to…

General Relativity and Quantum Cosmology · Physics 2023-08-11 Yoshimasa Kurihara

Only a severely restricted class of tensor fields can provide classical spacetime geometries, namely those that can carry matter field equations that are predictive, interpretable and quantizable. These three conditions on matter translate…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Kristina Giesel , Frederic P. Schuller , Christof Witte , Mattias N. R. Wohlfarth

Working with electrodynamics in the geometrical optics approximation we derive the expression representing an effectively curved geometry which guides the propagation of electromagnetic waves in material media whose physical properties…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. A. De Lorenci , R. Klippert

In this work, we study the magnetic effects of gravity in the framework of special relativity. Imposing covariance of the gravitational force with respect to the Lorentz transformations, we show from a thought experiment that a…

General Physics · Physics 2018-05-01 R. S. Vieira , H. B. Brentan

We compute the graviton induced corrections to Maxwell's equations in the one-loop and weak field approximations. The corrected equations are analogous to the classical equations in anisotropic and inhomogeneous media. We analyze in…

High Energy Physics - Theory · Physics 2010-11-19 Diego D. Dalvit , Francisco D. Mazzitelli , Carmen Molina-Paris

We develop a semiclassical approximation scheme for the constraint equations of supersymmetric canonical quantum gravity. This is achieved by a Born-Oppenheimer type of expansion, in analogy to the case of the usual Wheeler-DeWitt equation.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Claus Kiefer , Tobias Lueck , Paulo Moniz

The effective quantum field theory description of gravity, despite its non-renormalizability, allows for predictions beyond classical general relativity. As we enter the age of gravitational wave astronomy, an important and timely question…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Thiago Guerreiro , Francesco Coradeschi , Antonia Micol Frassino , Jennifer Rittenhouse West , Enrico Junior Schioppa

The presence of a non-zero cosmological term in Einstein field equations can be interpreted as the physical possibility for preferred reference frames without breaking of general covariance. This possibility is used in the process of…

General Relativity and Quantum Cosmology · Physics 2009-08-11 Clovis Jacinto de Matos

Within the context of Newton's theory of gravitation, restricted to point-like test particles and central bodies, stable circular orbits in ordinary space are related to stable circular paths on a massless, unmovable, undeformable…

Classical Physics · Physics 2017-08-02 R. Caimmi

We discuss in this Chapter a series of theoretical developments which motivate the introduction of a quantum evolution equation for which the eikonal approximation results in the geodesics of a four dimensional manifold. This geodesic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lawrence P. Horwitz , Ori Oron

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
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