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In general relativity, the masslessness of gravitons can be traced to symmetry under diffeomorphisms. Here we consider another possibility, whereby the masslessness arises from spontaneous violation of Lorentz symmetry.

General Relativity and Quantum Cosmology · Physics 2009-11-13 Robertus Potting

In this work, we analyze a gravity model with higher derivatives including a CPT-even Lorentz-violating term. In principle, the model could be a low-energy limit of a Lorentz-invariant theory presenting the violation of Lorentz symmetry as…

High Energy Physics - Theory · Physics 2014-09-22 C. Hernaski , H. Belich

A theory with the action combining the Einstein--Hilbert term and graviton mass terms violating Lorentz invariance is considered at linearized level about Minkowskian background. It is shown that with one of the masses set equal to zero,…

High Energy Physics - Theory · Physics 2007-05-23 V. Rubakov

We study certain aspects of the recently proposed notion of nonrelativistic diffeomorphism invariance. In particular, we consider specific examples of invariant actions, extended gauge symmetry as well as an application to the theory of…

High Energy Physics - Theory · Physics 2014-07-07 Oleg Andreev , Michael Haack , Stefan Hofmann

A technique to linearize gravitational field equations is developed in which the perturbation metric coefficients are treated as second rank, symmetric, 1-form fields belonging to the Minkowski background spacetime by using the exterior…

General Relativity and Quantum Cosmology · Physics 2017-01-30 Ahmet Baykal , Tekin Dereli

The classification of Lorentz- and CPT-violating operators in nonabelian gauge field theories is performed. We construct all gauge-invariant terms describing propagation and interaction in the action for fermions and gauge fields.…

High Energy Physics - Phenomenology · Physics 2019-04-03 Alan Kostelecky , Zonghao Li

If general relativity is an emergent phenomenon, there may be small violations of diffeomorphism invariance. We propose a phenomenology of perturbatively small violations of general relativity by the inclusion of terms which break general…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Mohamed M. Anber , Ufuk Aydemir , John F. Donoghue

The dynamics of binary pulsars can be used to test different aspects of gravitation. This is particularly important to constrain alternatives to general relativity in regimes which are not probed by other methods. In this short…

General Relativity and Quantum Cosmology · Physics 2016-01-19 Diego Blas

The Newton limit of gravity is studied in the presence of Lorentz-violating gravitational operators of arbitrary mass dimension. The linearized modified Einstein equations are obtained and the perturbative solutions are constructed and…

General Relativity and Quantum Cosmology · Physics 2017-01-17 Alan Kostelecky , Matthew Mewes

We consider a class of field theories with a four-vector field $A_{\mu}(x)$ in addition to other fields supplied with a global charge symmetry - theories which have partial gauge symmetry in the sense of only imposing it on those terms in…

High Energy Physics - Theory · Physics 2009-08-11 J. L. Chkareuli , C. D. Froggatt , H. B. Nielsen

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

We consider in detail the problem of gauge dependence that exists in relativistic perturbation theory, going beyond the linear approximation and treating second and higher order perturbations. We first derive some mathematical results…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Marco Bruni , Sabino Matarrese , Silvia Mollerach , Sebastiano Sonego

A general diffeomorphism invariant SU(2) gauge theory is a gravity theory with two propagating polarizations of the graviton. We develop this description of gravity, in particular for future applications to the perturbative quantization.…

High Energy Physics - Theory · Physics 2011-08-09 Kirill Krasnov

Sagnac gyroscopes with increased sensitivity are being developed and operated with a variety of goals including the measurement of General-Relativistic effects. We show that such systems can be used to search for Lorentz violation within…

General Relativity and Quantum Cosmology · Physics 2019-10-22 Serena Moseley , Nicholas Scaramuzza , Jay D. Tasson , Max L. Trostel

Some solutions to the anomalies of ultra high energy cosmic-ray(UHECR) and TeV $\gamma$-rays require disturbed non-quadratic dispersion relations, which suggest the Lorentz violation. Also, some new theories such as quantum gravity, string…

General Physics · Physics 2007-08-14 Ying-Qiu Gu

Motivated by the interest raised by the problem of Lorenz-symmetry violating gauge theories in connetion with gravity models, this contribution sets out to provide a general method to systematically study the excitation spectrum of gravity…

High Energy Physics - Theory · Physics 2010-05-25 J. L. Boldo , J. A. Helayel-Neto , L. M. de Moraes , C. A. G. Sasaki , V. J. Vasquez Otoya

Broken spacetime symmetries might emerge from a fundamental physical theory. The effective low-energy theory might be expected to exhibit violations of supersymmetry and Lorentz invariance. Some illustrative models which combine…

High Energy Physics - Phenomenology · Physics 2016-11-03 M. S. Berger

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

Local Lorentz invariance violation can be realized by introducing extra tensor fields in the action that couple to matter. If the Lorentz violation is rotationally invariant in some frame, then it is characterized by an ``aether'', i.e. a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. Jacobson , D. Mattingly

Supersymmetry and Lorentz invariance are closely related as both are spacetime symmetries. Terms can be added to Lagrangians that explicitly break either supersymmetry or Lorentz invariance. It is possible to include terms which violate…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. S. Berger