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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

In this paper, we reconstruct various solutions for the accelerated universe in the Einstein-Aether theory of gravity. For this purpose, we obtain the effective density and pressure for Einstein-Aether theory. We reconstruct the…

General Physics · Physics 2019-07-23 Shamaila Rani , Abdul Jawad , Kazuharu Bamba , Irfan Ullah Malik

We consider cosmology in the Einstein-aether theory (the generally covariant theory of gravitation coupled to a dynamical timelike Lorentz-violating vector field) with a linear aether-Lagrangian. The 3+1 spacetime splitting approach is used…

Astrophysics · Physics 2008-11-26 Baojiu Li , David F. Mota , John D. Barrow

We review the status of "Einstein-Aether theory", a generally covariant theory of gravity coupled to a dynamical, unit timelike vector field that breaks local Lorentz symmetry. Aspects of waves, stars, black holes, and cosmology are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Eling , T. Jacobson , D. Mattingly

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

`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 analyze the observational and theoretical constraints on ``Einstein-aether theory", a generally covariant theory of gravity coupled to a dynamical, unit, timelike vector field that breaks local Lorentz symmetry. The results of a…

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

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 modify the scalar Einstein-aether theory by breaking the Lorentz invariance of a gravitational theory coupled to a Galileon type scalar field. This is done by introducing a Lagrange multiplier term into the action, thus ensuring that the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Zahra Haghani , Tiberiu Harko , Hamid Reza Sepangi , Shahab Shahidi

The accelerating expansion of the Universe poses a major challenge to our understanding of fundamental physics. One promising avenue is to modify general relativity and obtain a new description of the gravitational force. Because…

General Relativity and Quantum Cosmology · Physics 2015-08-28 Adam R. Solomon

We propose a modification of Einstein-Cartan gravity equations. The modified cosmology departs from the standard model of cosmology for small Hubble parameter. A characteristic Hubble scale h0, which is intrinsically related to cosmological…

General Relativity and Quantum Cosmology · Physics 2015-07-21 Wei Lu

The present work deals with Einstein-aether Scalar tensor gravity in the background of homogeneous and isotropic flat FLRW space-time model. The Noether symmetry vector identifies a transformation in the augmented space so that the field…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Dipanakr Laya , Roshni Bhaumik , Sourav Dutta , Subenoy Chakraborty

We examine the consequences of Lorentz violation during slow-roll inflation. We consider a canonical scalar inflaton coupled, through its potential, to the divergence of a fixed-norm timelike vector field, or "aether." The vector is…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-13 Adam R. Solomon , John D. Barrow

We present a comprehensive investigation exploring the theoretical framework of Einstein-Aether gravity theory when combined with two modified cosmological paradigms: the Barrow Agegraphic Dark Energy (BADE) and its newer variant, the New…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Banadipa Chakraborty , Tamal Mukhopadhyay , Anamika Kotal , Ujjal Debnath

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

Here we briefly discuss the Einstein-Aether gravity theory by modification of Einstein-Hilbert action. We find the modified Friedmann equations and then from the equations we find the effective density and pressure for Einstein-Aether…

General Relativity and Quantum Cosmology · Physics 2013-11-05 Ujjal Debnath

We present a comprehensive investigation of cosmological constraints on the class of vector field formulations of modified gravity called Generalized Einstein-Aether models. Using linear perturbation theory we generate cosmic microwave…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-25 J. Zuntz , T. G. Zlosnik , F. Bourliot , P. G. Ferreira , G. D. Starkman

We present all possible analytical solutions of the Friedmann-Lema\^itre-Robertson-Walker metric in Einstein-aether theory for all values of the cosmological constant and spatial curvature with many reasonable values of the…

General Relativity and Quantum Cosmology · Physics 2025-11-18 R. Chan , M. F. A. da Silva , V. H. Satheeshkumar

Einstein-aether gravity is a theory that breaks the local Lorentz symmetry by introducing a preferred direction via a vector field, which is considered to play the role of an aether. The theory is identified by four coupling constants…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Kamal Hajian

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
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