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We propose, in a heuristic way, a relativistic modified gravity model as an alternative to particle dark matter at galactic scales. The model is based on a postulated preferred time foliation described by a dynamical scalar field called the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Luc Blanchet , Sylvain Marsat

We introduce a new version of non-linear electrodynamics which is produced by a spontaneous symmetry breaking of Lorentz invariance induced by the non-zero expectation value of the electromagnetic field strength. The symmetry breaking…

High Energy Physics - Phenomenology · Physics 2010-04-06 Jorge Alfaro , Luis F. Urrutia

In this paper, we will analyse the cosmological models in Einstein-aether gravity, which is a modified theory of gravity in which a time-like vector field breaks the Lorentz symmetry. We will use this formalism to analyse different…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Antonio Pasqua , Surajit Chattopadhyay , Davood Momeni , Muhammad Raza , Ratbay Myrzakulov , Mir Faizal

We extend the Einstein-aether theory to take into account the interaction between a pseudoscalar field, which describes the axionic dark matter, and a time-like dynamic unit vector field, which characterizes the velocity of the aether…

General Relativity and Quantum Cosmology · Physics 2016-07-11 Alexander B. Balakin

The Einstein-Aether theory provides a simple, dynamical mechanism for breaking Lorentz invariance. It does so within a generally covariant context and may emerge from quantum effects in more fundamental theories. The theory leads to a…

General Relativity and Quantum Cosmology · Physics 2009-01-22 J. A. Zuntz , P. G. Ferreira , T. G. Zlosnik

We extend the Einstein-aether theory to include the Maxwell field in a nontrivial manner by taking into account its interaction with the time-like unit vector field characterizing the aether. We also include a generic matter term. We…

General Relativity and Quantum Cosmology · Physics 2014-08-27 Alexander B. Balakin , José P. S. Lemos

We constrain Einstein-aether gravity -- a Lorentz-violating extension of General Relativity in which a dynamical, unit timelike vector field selects a preferred frame -- using updated high-precision pulsar timing observations of PSR…

`Einstein-Aether' theory, in which gravity couples to a dynamical, time-like, unit-norm vector field, provides a means for studying Lorentz violation in a generally covariant setting. Demonstrated here is the effect of a redefinition of the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Brendan Z. Foster

We follow a low-energy effective theory approach to identify the general class of theories that describes a vector field (of unconstrained norm) coupled to gravity. The resulting set may be regarded as a generalization of the conventional…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-15 Cristian Armendariz-Picon , Alberto Diez-Tejedor

We start from a Lorentz non-invariant Abelian-Higgs model in 1+3 dimensions, and carry out its dimensional reduction to $D=1+2$. The planar model resulting thereof is composed by a Maxwell-Chern-Simons-Proca gauge sector, a massive scalar…

High Energy Physics - Theory · Physics 2007-05-23 H. Belich , T. Costa-Soares , M. M. Ferreira , J. A. Helayel-Neto , M. T. D. Orlando

The so-called Einstein-Aether theory is General Relativity coupled (at second derivative order) to a dynamical unit time-like vector field (the aether). It is a Lorentz-violating theory, and gained much attention in the recent years. In the…

General Relativity and Quantum Cosmology · Physics 2014-04-16 Hao Wei , Xiao-Peng Yan , Ya-Nan Zhou

We present a mechanical model of a quasi-elastic body (aether) which reproduces Maxwell's equations with charges and currents. Major criticism against mechanical models of electrodynamics is that any presence of charges in the known models…

History and Philosophy of Physics · Physics 2022-01-13 Lachezar S. Simeonov

Non-compact symmetries of extended 4d supergravities involve duality rotations of vectors and thus are not manifest off-shell invariances in standard "second-order" formulation. To study how such symmetries are realised in the quantum…

High Energy Physics - Theory · Physics 2015-06-05 R. Roiban , A. A. Tseytlin

Although Lorentz symmetry is a staple of General Relativity (GR), there are several reasons to believe it may not hold in a more advanced theory of gravity, such as quantum gravity. Einstein-aether theory is a modified theory of gravity…

General Relativity and Quantum Cosmology · Physics 2023-06-22 Kai Vylet , Siddarth Ajith , Kent Yagi , Nicolás Yunes

We consider a class of Lorentz-violating theories of gravity involving a timelike unit vector field (the aether) coupled to a metric, two examples being Einstein-aether theory and Ho\v{r}ava gravity. The action always includes the Ricci…

General Relativity and Quantum Cosmology · Physics 2015-09-01 Ted Jacobson , Antony J. Speranza

We consider a Lorentz-violating theory of inflation consisting of Einstein-aether theory with a scalar inflaton coupled bilinearly to the expansion of the aether. We determine the conditions for linearized stability, positive energy, and…

General Relativity and Quantum Cosmology · Physics 2012-01-17 William Donnelly , Ted Jacobson

We investigate the evolution of cosmological perturbations in models of dark energy described by a time-like unit normalized vector field specified by a general function $\mathcal{F}(\mathcal{K})$, so-called Generalized Einstein-Aether…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-04 Richard A. Battye , Francesco Pace , Damien Trinh

The two-dimensional aether-superspace is constructed and the superfield techniques are applied to the study of dynamical generation of mass in the Lorentz-violating supersymmetric quantum electrodynamics in two dimensions of spacetime. It…

High Energy Physics - Theory · Physics 2016-01-20 A. C. Lehum

The Einstein-Aether theory is an alternative theory of gravity in which the spacetime metric is supplemented by a long-range timelike vector field (the "aether" field). Here, for the first time, we apply the full formalism of…

General Relativity and Quantum Cosmology · Physics 2023-12-13 Fatemeh Taherasghari , Clifford M. Will

A class of positive curvature spatially homogeneous but anisotropic cosmological models within an Einstein-aether gravitational framework are investigated. The matter source is assumed to be a scalar field which is coupled to the expansion…

General Relativity and Quantum Cosmology · Physics 2019-03-27 R. J. van den Hoogen , A. A. Coley , B. Alhulaimi , S. Mohandas , E. Knighton , S. O'Neil