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The Lorentz covariant theory of propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving point-like bodies with constant masses is constructed. The theory is based on the Lienard-Wiechert…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer

Motivated by different approaches to quantum gravity, one could consider that Lorentz invariance is not an exact symmetry of nature at all energy scales. Following this spirit, modified dispersion relations have been used to encapsulate…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Mikel Artola , José A. R. Cembranos , Prado Martín-Moruno

Wave propagation is a common occurrence in all of physics. A linear approximation provides a simpler way to describe various fields related to observable phenomena in laboratory physics as well as astronomy and cosmology, allowing us to…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Lucas T. Santana , João C. Lobato , Ribamar R. R. Reis , Maurício O. Calvão

Evidence on the violation of Lorentz symmetry arises from the observation of cosmic rays with energies beyond the GZK cutoff, $E_{GZK} \simeq 4 \times 10^{19} eV$, from the apparent transparency of the Universe to the propagation of high…

High Energy Physics - Phenomenology · Physics 2015-06-25 Orfeu Bertolami

Recent work has shown that dispersion relations with Planck scale Lorentz violation can produce observable effects at energies many orders of magnitude below the Planck energy M. This opens a window on physics that may reveal quantum…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. Jacobson , S. Liberati , D. Mattingly

We consider the light scattering problem for a Gaussian beam and a (spherical) particle at arbitrary location. Within the beam cross section, the total electromagnetic field is the superposition of the incident beam and the scattered wave.…

Optics · Physics 2025-04-09 Jonas Gienger

Our present contribution sets out to investigate a scenario based on the effects of the Loop Quantum Gravity (LQG) on the electromagnetic sector of the Standard Model of Fundamental Interactions and Particle Physics (SM). Starting then from…

High Energy Physics - Theory · Physics 2025-11-18 P. A. L. Mourão , G. L. L. W. Levy , J. A. Helayël-Neto

The emission of electromagnetic radiation by charges moving uniformly in a Lorentz-violating vacuum is studied. The analysis is performed within the classical Maxwell-Chern-Simons limit of the Standard-Model Extension (SME) and confirms the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ralf Lehnert , Robertus Potting

One of the most studied approaches in phenomenology to introduce the breaking of Lorentz symmetry is the generic approach. This consist on the modification of the free particle dispersion relation by the addition of an extra power law term…

High Energy Physics - Phenomenology · Physics 2017-08-02 H. Martínez-Huerta , A. Pérez-Lorenzana

For vacuum Maxwell theory in four dimensions, a supplementary condition exists (due to Eastwood and Singer) which is invariant under conformal rescalings of the metric, in agreement with the conformal symmetry of the Maxwell equations.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Giampiero Esposito , Cosimo Stornaiolo

The Standard Model Extension (SME) provides the most general observer-independent field theoretical framework for investigations of Lorentz violation. The SME lagrangian by definition contains all Lorentz-violating interaction terms that…

High Energy Physics - Phenomenology · Physics 2008-11-26 Robert Bluhm

In this work, we study the spontaneous Lorentz symmetry breaking due to an antisymmetric 2-tensor field in Minkowski spacetime. For a smooth quadratic potential, the spectrum of the theory exhibits massless and massive excitations. We show…

High Energy Physics - Theory · Physics 2019-01-14 R. V. Maluf , A. A. Araujo Filho , W. T. Cruz , C. A. S. Almeida

Modified gravity theories generically predict a violation of Lorentz invariance, which may lead to a modified dispersion relation for propagating modes of gravitational waves. We construct a parametrized dispersion relation that can…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Saeed Mirshekari , Nicolas Yunes , Clifford M. Will

In the mass-polariton (MP) theory of light formulated by us recently [Phys. Rev. A 95, 063850 (2017)], light in a medium is described as a coupled state of the field and matter. The key result of the MP theory is that the optical force of…

Optics · Physics 2019-04-03 Mikko Partanen , Jukka Tulkki

Based on a recent work by Schuller et al., a geometric representation of all skewonless, non-birefringent, linear media is obtained. The derived constitutive law is based on a "core", encoding the optical metric up to a constant. All…

Optics · Physics 2011-02-10 Alberto Favaro , Luzi Bergamin

We derive a modified dispersion relation (MDR) in the Lorentz violation extension of quantum electrodynamics (QED) sector in the standard model extension (SME) framework. Based on the extended Dirac equation and corresponding MDR, we…

High Energy Physics - Phenomenology · Physics 2010-10-27 Zhi Xiao , Bo-Qiang Ma

We have recently derived a manifestly covariant evolution law, under the geometrical optics approximation of the vacuum Maxwell's equations, for the electric field along null geodesics in a general spacetime, relative to an arbitrary set of…

General Relativity and Quantum Cosmology · Physics 2021-08-27 João C. Lobato , Isabela S. Matos , Lucas T. Santana , Ribamar R. R. Reis , Maurício O. Calvão

We present the gauge-invariant formalism of cosmological weak lensing, accounting for all the relativistic effects due to the scalar, vector, and tensor perturbations at the linear order. While the light propagation is fully described by…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-11 Jaiyul Yoo , Nastassia Grimm , Ermis Mitsou , Adam Amara , Alexandre Refregier

We present a new covariant, gauge-invariant formalism describing linear metric perturbation fields on any spherically symmetric background in general relativity. The advantage of this formalism relies in the fact that it does not require a…

General Relativity and Quantum Cosmology · Physics 2013-04-15 Eliana Chaverra , Néstor Ortiz , Olivier Sarbach

The problem of covariance of physical quantities has not been solved fundamentally in the theory of relativity, which has caused a lot of confusion in the community; a typical example is the Gordon metric tensor, which was developed almost…

General Physics · Physics 2021-05-05 Changbiao Wang