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We use the results of ultra-precise cold-atom-recoil experiments to constrain the form of the energy-momentum dispersion relation, a structure that is expected to be modified in several quantum-gravity approaches. Our strategy of analysis…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Giovanni Amelino-Camelia , Claus Laemmerzahl , Flavio Mercati , Guglielmo M. Tino

Rapidly rotating bodies moving in curved space-time experience the so-called spin-curvature force, which becomes important for the motion of compact objects in gravitational-wave inspirals. As a first approximation, this effect is captured…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Vojtěch Witzany , Gabriel Andres Piovano

We develop a perturbation theory for surfaces confining photons and massive particles in static spherically symmetric spacetimes in terms of two parameters: the mass-to-energy ratio and the deviation of metric functions from a given form,…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Kirill Kobialko , Dmitri Gal'tsov

In recent years Planck-scale modifications of the dispersion relation have been attracting increasing interest also from the viewpoint of possible applications in astrophysics and cosmology, where spacetime curvature cannot be neglected.…

High Energy Physics - Theory · Physics 2015-12-30 Giacomo Rosati , Giovanni Amelino-Camelia , Antonino Marciano , Marco Matassa

Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. For example, the quantum Dirac field in a strong and/or time-dependent external…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bernard S. Kay

These are introductory notes on the study of the Dirac equation in curved spacetime and its relation to hidden symmetries of the dynamics. We present general results on the relation between special spacetime tensors and hidden symmetries,…

General Relativity and Quantum Cosmology · Physics 2012-10-01 Marco Cariglia

Investigations of the possibility that some novel ``quantum" properties of spacetime might induce a modification dispersion relation focused at first on scenarios with Planck-scale violations of Lorentz symmetry. More recently several…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Giovanni Amelino-Camelia , Jerzy Kowalski-Glikman , Gianluca Mandanici , Andrea Procaccini

Gravitational lensing of luminous matter that surrounds a black hole or some other sufficiently compact object produces an infinite sequence of images. Besides the direct (or primary) image, it comprises demagnified and deformed replicas of…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Fabio Aratore , Oleg Yu. Tsupko , Volker Perlick

We investigate the propagation of light through a plasma on a background Kerr spacetime via a Hamiltonian formulation. The behaviour of light when propagating through a vacuum and through a plasma is not the same; the convolution of…

High Energy Astrophysical Phenomena · Physics 2019-02-06 Tom Kimpson , Kinwah Wu , Silvia Zane

We analyze the scalar radiation emitted by a source in a circular geodesic orbit around a spherically symmetric black hole. The black hole spacetime considered is quite general, in the sense that it encompasses the solutions of…

General Relativity and Quantum Cosmology · Physics 2020-04-21 Rafael Bernar

We introduce an analytic approach to study gravitational lensing in the presence of a distribution of hadrons. The situation is analogous to the propagation of photons in a medium with a nontrivial Cooper-pair condensate, where the photon…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Fabrizio Canfora , Cristóbal Corral , Borja Diez

A fundamentally different approach to path integral quantum mechanics in curved space-time is presented, as compared to the standard approaches currently available in the literature. Within the context of scalar particle propagation in a…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Dinesh Singh , Nader Mobed

Based on the covariant hamiltonian formalism, we study the dynamics of spinning test bodies in the Kerr and Schwarzschild spacetimes. For the first time, we derive the exact solution of circular orbits in the Kerr plane without truncating…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Satish Kumar Saravanan

Motivated by electromagnetic-field confinement due to plasma near accreting black holes, we continue our exploration of the linear dynamics of an electromagnetic field propagating in curved spacetime in the presence of plasma by including…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Enrico Cannizzaro , Andrea Caputo , Laura Sberna , Paolo Pani

Local and non-local properties of Hawking radiation in the presence of short distance dispersion are computed using connection formulae. The robustness of the spectrum and that of the two-point function are explained by showing that the…

High Energy Physics - Theory · Physics 2012-02-03 Antonin Coutant , Renaud Parentani , Stefano Finazzi

Recent proposals suggested quantum clock interferometry for tests of the Einstein equivalence principle. However, atom interferometric models often include relativistic effects only in an ad hoc fashion. Here, instead, we start from the…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Gregor Janson , Richard Lopp

This work is devoted to examining particle dynamics and thermodynamic behavior of a black hole in the framework of Kalb-Ramond gravity, framing the investigation through the lens of the optical-mechanical analogy. Within this context, we…

General Relativity and Quantum Cosmology · Physics 2025-09-17 A. A. Araújo Filho

An alternative (simplified) derivation of the dispersion relation and the expressions for the momentum-energy 4-vector $p_i,p_0$ given initially in [1] is provided. It has turned out that in a rather "pedestrian" manner one can obtain in…

General Physics · Physics 2007-05-23 A. Granik

The construction of the conformal scalar propagator which has been obtained in the preceding two projects as an analytic function of the Schwarzschild black-hole space-time is completed with a boundary condition imposed by the physical…

High Energy Physics - Theory · Physics 2013-01-11 George Tsoupros

Inspired by the condensed-matter analogues of black holes, we study the quantum correlations across the event horizon reflecting the entanglement between the outgoing particles of the Hawking radiation and their in-falling partners. For a…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Ralf Schützhold , William G. Unruh