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In a general metric theory of gravitation in four dimensions, six polarizations of a gravitational wave are allowed: two scalar and two vector modes, in addition to two tensor modes in general relativity. Such additional polarization modes…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-06 Atsushi Nishizawa , Atsushi Taruya , Kazuhiro Hayama , Seiji Kawamura , Masa-aki Sakagami

In the framework of the Einstein-Maxwell-aether-axion theory we consider the self-consistent model based on the concept of a two-level control, which is carried out by the dynamic aether over the behavior of the axionically active…

General Relativity and Quantum Cosmology · Physics 2024-01-30 Alexander B. Balakin , Amir F. Shakirzyanov

A Lorentz non-invariant higher derivative effective action in flat spacetime, characterised by a constant vector, can be made invariant under infinitesimal Lorentz transformations by restricting the allowed field configurations. These…

High Energy Physics - Theory · Physics 2012-11-15 Oindrila Ganguly

We investigate the stability of theories in which Lorentz invariance is spontaneously broken by fixed-norm vector "aether" fields. Models with generic kinetic terms are plagued either by ghosts or by tachyons, and are therefore physically…

High Energy Physics - Theory · Physics 2009-03-24 Sean M. Carroll , Timothy R. Dulaney , Moira I. Gresham , Heywood Tam

Within all approaches to quantum gravity small violations of the Einstein Equivalence Principle are expected. This includes violations of Lorentz invariance. While usually violations of Lorentz invariance are introduced through the coupling…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Claus Laemmerzahl , Dennis Lorek , Hansjoerg Dittus

We propose an Einstein-{\ae}ther scalar-tensor cosmological model. In particular in the scalar-tensor Action Integral we introduce the {\ae}ther field with {\ae}ther coefficients to be functions of the scalar field. This cosmological model…

General Relativity and Quantum Cosmology · Physics 2021-07-28 Andronikos Paliathanasis , Genly Leon

In many generalized models of gravity, perfect fluids in cosmology give rise to gravitational slip. Simultaneously, in very broad classes of such models, the propagation of gravitational waves is altered. We investigate the extent to which…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-03 Ignacy Sawicki , Ippocratis D. Saltas , Mariele Motta , Luca Amendola , Martin Kunz

The Lorentz transformations are represented by Einstein velocity addition on the ball of relativistically admissible velocities. This representation is by projective maps. The Lie algebra of this representation defines the relativistic…

General Relativity and Quantum Cosmology · Physics 2011-08-17 Yaakov Friedman

We generalize and simplify an earlier approach. In three dimensions we present the most general averaging formula in lowest order which respects the requirements of covariance. It involves a bitensor, made up of a basis of six tensors, and…

General Relativity and Quantum Cosmology · Physics 2009-07-16 Dieter Gromes

Relativistic field theory for a vector field on a curved space-time is considered assuming that the Lagrangian field density is quadratic and contains field derivatives of first order at most. By applying standard variational calculus, the…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Roberto Dale , Alicia Herrero , Juan Antonio Morales-Lladosa

This paper focuses on how the production and polarization of gravitational waves are affected by spontaneous Lorentz symmetry breaking, which is driven by a self-interacting vector field. Specifically, we examine the impact of a smooth…

General Relativity and Quantum Cosmology · Physics 2024-06-13 K. M. Amarilo , M. B. Ferreira Filho , A. A. Araújo Filho , J. A. A. S. Reis

Lorentz invariance violation (LIV) can have multiple consequences on very-high energy gamma rays' emission, propagation, and detection, such as energy-dependent photon group velocity, photon instability, vacuum birefringence, and modified…

High Energy Astrophysical Phenomena · Physics 2025-09-19 Tomislav Terzić , Karlo Mrakovčić

Successful detection of gravitational waves has presented a new avenue to explore the nature of gravity. With the cumulative catalog of detected events, we can perform tests on General Relativity from various aspects with increasing…

General Relativity and Quantum Cosmology · Physics 2023-03-07 Rui Niu , Tao Zhu , Wen Zhao

The recent detections of gravitational waves by the advanced LIGO and Virgo detectors open up new tests of modified gravity theories in the strong-field and dynamical, extreme gravity regime. Such tests rely sensitively on the phase…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Alexander Saffer , Nicolas Yunes , Kent Yagi

Recently, Kostelecky [V.A. Kostelecky, Phys. Lett. B 701, 137 (2011)] proposed that the spontaneous Lorentz invariance violation (sLIV) is related to Finsler geometry. Finsler spacetime is intrinsically anisotropic and induces naturally…

High Energy Physics - Phenomenology · Physics 2012-10-15 Zhe Chang , Sai Wang

We study a noncommutative deformation of general relativity where the gravitational field is described by a matrix-valued symmetric two-tensor field. The equations of motion are derived in the framework of this new theory by varying a…

General Relativity and Quantum Cosmology · Physics 2011-02-17 Guglielmo Fucci , Ivan G. Avramidi

General quantum gravity arguments predict that Lorentz symmetry might not hold exactly in nature. This has motivated much interest in Lorentz breaking gravity theories recently. Among such models are vector-tensor theories with preferred…

General Relativity and Quantum Cosmology · Physics 2019-03-12 Metin Gurses , Cetin Senturk

In the context of Horava gravity, the most promising known scenarios to recover Lorentz invariance at low energy are the possibilities that (1) the renormalization group flow of the system leads to emergent infrared Lorentz invariance, and…

High Energy Physics - Theory · Physics 2019-10-02 Andrew Coates , Charles Melby-Thompson , Shinji Mukohyama

We summarize a recent work on the title subject, skipping the detailed calculations but introducing the basic points with enough detail. The theory considered is formulated in a preferred reference frame in a four-dimensional spacetime…

General Physics · Physics 2017-10-18 Mayeul Arminjon

We propose a modification of special relativity in which a physical energy, which may be the Planck energy, joins the speed of light as an invariant, in spite of a complete relativity of inertial frames and agreement with Einstein's theory…

High Energy Physics - Theory · Physics 2011-09-14 Joao Magueijo , Lee Smolin