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This article reviews the concept of Lorentz invariant relative velocity that is often misunderstood or unknown in high energy physics literature. The properties of the relative velocity allow to formulate the invariant flux and cross…

High Energy Physics - Phenomenology · Physics 2017-02-08 Mirco Cannoni

Lorentz invariance is a well known fundamental concept of special relativity but its violation is predicted by some variations of quantum gravity, string theory, and some alternatives to general relativity. We study neutrino oscillation at…

High Energy Physics - Phenomenology · Physics 2016-12-30 S. A. Alavi , M. Dehghani Madise

The idea that quantum gravity manifestations would be associated with a violation of Lorentz invariance is very strongly bounded and faces serious theoretical challenges. This leads us to consider an alternative line of thought for such…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alejandro Corichi , Daniel Sudarsky

Motivated by ideas about quantum gravity, a tremendous amount of effort over the past decade has gone into testing Lorentz invariance in various regimes. This review summarizes both the theoretical frameworks for tests of Lorentz invariance…

General Relativity and Quantum Cosmology · Physics 2015-06-25 David Mattingly

This paper discusses the somewhat unintuitive conjecture that many Lorentz-invariant many-particle models can be reinterpreted to satisfy the gtr field equations. It is shown that a careful remapping of coordinates yields a non-trivial…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Niclas Thisell

Precision tests of Lorentz symmetry have become increasingly of interest to the broader gravitational and high-energy physics communities. In this talk, recent work on violations of local Lorentz invariance in gravity is discussed,…

General Relativity and Quantum Cosmology · Physics 2015-05-25 Quentin G. Bailey

We study nonlinear dynamics in models of Lorentz-violating massive gravity. The Boulware-Deser instability restricts severely the class of acceptable theories. We identify a model that is stable. It exhibits the following bizarre but…

High Energy Physics - Theory · Physics 2011-07-19 Gregory Gabadadze , Luca Grisa

Some recently discovered nonperturbative strong-field effects in tensor-scalar theories of gravitation are interpreted as a scalar analog of ferromagnetism: "spontaneous scalarization". This phenomenon leads to very significant deviations…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Thibault Damour , Gilles Esposito-Farese

Radio pulsars are fascinating and extremely useful objects. Despite our on-going difficulties in understanding the details of their emission physics, they can be used as precise cosmic clocks in a wide-range of experiments -- in particular…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Michael Kramer

The spectrum of oscillating compact objects can be considerably altered in alternative theories of gravity. In particular, it may be enriched by modes with no counterpart in general relativity, tied to the dynamics of additional degrees of…

General Relativity and Quantum Cosmology · Physics 2022-01-21 Raissa F. P. Mendes , Néstor Ortiz , Nikolaos Stergioulas

We construct effective field theories in which gravity is modified via spontaneous breaking of local Lorentz invariance. This is a gravitational analogue of the Higgs mechanism. These theories possess additional graviton modes and modified…

High Energy Physics - Theory · Physics 2008-11-26 B. M. Gripaios

An outstanding question in modern Physics is whether general relativity (GR) is a complete description of gravity among bodies at macroscopic scales. Currently, the best experiments supporting this hypothesis are based on high-precision…

Solar and Stellar Astrophysics · Physics 2015-06-22 John Antoniadis

Theories of gravitation without Lorentz invariance are candidates of low-energy descriptions of quantum gravity. In this review we will describe the phenomenological consequences of the candidates associated to the existence of a preferred…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Diego Blas , Eugene Lim

Before the 1970s, precision tests for gravity theories were constrained to the weak gravitational fields of the Solar system. Hence, only the weak-field slow-motion aspects of relativistic celestial mechanics could be investigated. Testing…

General Relativity and Quantum Cosmology · Physics 2014-04-16 Norbert Wex

In the past decade the phenomenology of quantum gravity has been dominated by the search of violations of Lorentz invariance. However, there are very serious arguments that led us to assume that this invariance is a symmetry in Nature. This…

General Relativity and Quantum Cosmology · Physics 2011-04-07 Yuri Bonder

Binary pulsars offer a unique natural laboratory to test General Relativity (GR) and probe for deviations from its paradigm, as predicted by alternative theories of gravity. In this paper, we study two such possible deviations: a time…

General Relativity and Quantum Cosmology · Physics 2025-07-25 S. Bussieres , M. Caldarola , S. Nesseris

General Relativity predicts two modes for plane gravitational waves. When a tiny violation of Lorentz invariance occurs, the two gravitational wave modes are modified. We use perturbation theory to study the detailed form of the…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Rui Xu

In this manuscript, we survey the main characteristics that provide neutrinos with the capability of being the perfect candidate to test gravity. A number of potentially resourceful scenarios is analyzed, with particular emphasis on how the…

General Relativity and Quantum Cosmology · Physics 2020-07-20 Giuseppe Gaetano Luciano , Luciano Petruzziello

A recently proposed theory of modified gravity with an explicit ``anomalous'' coupling of the Ricci curvature to matter is discussed, and an inequality is derived which expresses a necessary and sufficient condition to avoid the notorius…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Valerio Faraoni