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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

We consider an Einstein-aether type Lorentz-violating theory of gravity in which the aether vector field $V_{\mu }$ is represented as the gradient of a scalar field $\phi $, $V_{\mu }=\nabla _{\mu }\phi $. A self interacting potential for…

General Relativity and Quantum Cosmology · Physics 2014-10-08 Zahra Haghani , Tiberiu Harko , Hamid Reza Sepangi , Shahab Shahidi

Aether theory is introduced to implement the violation of the Lorentz invariance in general relativity. For this purpose a unit timelike vector field introduced to theory in addition to the metric tensor. Aether theory contains four free…

General Relativity and Quantum Cosmology · Physics 2008-02-26 Metin Gurses

In the framework of the Einstein-aether theory we consider a cosmological model, which describes the evolution of the unit dynamic vector field with activated rotational degree of freedom. We discuss exact solutions of the Einstein-aether…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Alexander Balakin , Vladimir Popov

Recently proposed theories based on the cosmic presence of a vectorial field are compared and contrasted. In particular the so called Einstein aether theory is discussed in parallel with a recent proposal of a strained space-time theory…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Tartaglia , N. Radicella

The space of the solutions of the differential equations resulting from considering matter fluids of scalar field type or perfect fluid in Einstein-aether theory is analyzed. The Einstein-aether theory of gravity consists of General…

General Relativity and Quantum Cosmology · Physics 2020-06-16 Alfredo Millano

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

General covariance in quantum gravity is seen once one integrates over all possible metrics. In recent years topological field theories have given us a different route to general covariance without integrating over all possible metrics.…

High Energy Physics - Theory · Physics 2010-04-06 Andrew Toon

We show that there is a phenomenologically and theoretically consistent limit of the generic Einstein-Aether theory in which the Einstein-Aether field equations reduce to Einstein field equations with a perfect fluid distribution sourced by…

General Relativity and Quantum Cosmology · Physics 2024-09-20 Metin Gurses , Cetin Senturk , Bayram Tekin

Lorentz symmetry is a fundamental property of Einstein's theory of general relativity that one may wish to test with gravitational wave observations. Einstein-aether theory is a model that introduces Lorentz-symmetry breaking in the…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Kristen Schumacher , Scott Ellis Perkins , Ashley Shaw , Kent Yagi , Nicolas Yunes

The nature of gravity is fundamental to understand the scaffolding of the Universe and its evolution. Einstein's general theory of relativity has been scrutinized for over ninety five years and shown to describe accurately all phenomena…

General Relativity and Quantum Cosmology · Physics 2011-12-12 Orfeu Bertolami

There exists some confusion, as evidenced in the literature, regarding the nature of the gravitational field in Einstein's General Theory of Relativity. It is argued here the this confusion is a result of a change in interpretation of the…

General Physics · Physics 2007-05-23 Peter M. Brown

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

Einstein's general relativity is the best available theory of gravity. In recent years, spectacular proofs of Einstein's theory have been conducted, which have aroused interest that goes far beyond the narrow circle of specialists. The aim…

Popular Physics · Physics 2024-01-18 Jorge Pinochet

This work concerns the loss of energy of a material system due to gravitational radiation in Einstein-aether theory-an alternative theory of gravity in which the metric couples to a dynamical, timelike, unit-norm vector field. Derived to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Brendan Z. Foster

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 show that the Einstein-aether theory of Jacobson and Mattingly (J&M) can be understood in the framework of the metric-affine (gauge theory of) gravity (MAG). We achieve this by relating the aether vector field of J&M to certain…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Christian Heinicke , Peter Baekler , Friedrich W. Hehl

It has been shown that generalized Einstein-Aether theories may lead to significant modifications to the non-relativistic limit of the Einstein equations. In this paper we study the effect of a general class of such theories on the Solar…

Astrophysics · Physics 2008-11-26 Camille Bonvin , Ruth Durrer , Pedro G. Ferreira , Glenn Starkman , Tom G. Zlosnik

In Einstein-aether theory and Horava gravity, a timelike unit vector is coupled to the spacetime metric. It has previously been shown that in an exponentially expanding homogeneous, isotropic background, small perturbations of the vector…

General Relativity and Quantum Cosmology · Physics 2011-03-07 Isaac Carruthers , Ted Jacobson

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…