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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

We establish an extended version of the Einstein - Maxwell - axion model by introducing into the Lagrangian cross-terms, which contain the gradient four-vector of the pseudoscalar (axion) field in convolution with the Maxwell tensor. The…

General Relativity and Quantum Cosmology · Physics 2012-02-21 Alexander B. Balakin , Vladimir V. Bochkarev , Nadezhda O. Tarasova

Axions are hypothetical pseudoscalar particles introduced initially as a solution to the Strong CP problem in Quantum Chromodynamics (QCD), and they also arise naturally in a broad class of low-energy compactifications of string theory.…

High Energy Physics - Phenomenology · Physics 2025-12-24 Amedeo M. Favitta

Utilizing the autonomous system of ordinary differential equations derived in arXiv:1809.01458 to define the evolution, we further investigate a class of cosmological models within an Einstein-aether gravitational framework by introducing a…

General Relativity and Quantum Cosmology · Physics 2024-02-28 S. Mohandas , R. J. van den Hoogen , D. Winters , M. Dala

Inflationary spatially homogeneous 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 aether field expansion and shear scalars…

General Relativity and Quantum Cosmology · Physics 2019-03-27 B. Alhulaimi , R. J. van den Hoogen , A. A. Coley

Einstein-aether theory is extended by allowing for spinning degrees of freedom of the aether. In addition to the acceleration, shear, expansion, and vorticity of the aether velocity field, a spin rotation describing the dynamics of a…

General Relativity and Quantum Cosmology · Physics 2021-09-09 Christopher Kohler

We study the black hole solution and gravitational wave polarizations in a M-subset of the Einstein-aether theory with Lorentz invariance violated by an unit norm vector field -- the aether field $u^a$. This M-subset of Einstein-aether…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Chikun Ding , Yuebing Zhou , Yu Shi , Xiangyun Fu

In the framework of Einstein-Maxwell-axion theory we consider static spherically symmetric solutions, which describe a magnetic monopole in the axionic environment. These solutions are interpreted as the solutions for an axionic dyon, the…

General Relativity and Quantum Cosmology · Physics 2017-08-08 Alexander B. Balakin , Alexei E. Zayats

A discussion is given of the conformal Einstein field equations coupled with matter whose energy-momentum tensor is trace-free. These resulting equations are expressed in terms of a generic Weyl connection. The article shows how in the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Christian Lübbe , Juan Antonio Valiente Kroon

The coupling between scalar and vector fields has a long and interesting history. Axions are one key possibility to solve the strong CP problem and axion-like particles could be one solution to the dark matter puzzle. Given the nature of…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Mateja Boskovic , Richard Brito , Vitor Cardoso , Taishi Ikeda , Helvi Witek

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

By applying Noether symmetry methods, analytic solutions are obtained for a generalized Einstein-scalar-Gauss-Bonnet model with a $\xi(\phi)f(G)$ component. Variation with respect to the metric, supplemented by small perturbations, produces…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Olga Razina , Dauren Rakhatov , Pyotr Tsyba , Emilio Elizalde

The new nonlinear axionically extended version of the general relativistic magnetohydrodynamics is formulated. The self-consistent formalism of this theory is based on the introduction into the Lagrangian of the new unified scalar…

High Energy Physics - Phenomenology · Physics 2022-09-26 Timur Yu. Alpin , Alexander B. Balakin , Alexei V. Vorohov

We consider an isotropic homogeneous cosmological model with five interacting elements: first, the dynamic aether presented by a unit timelike vector field, second, the pseudoscalar field describing an axionic component of the dark matter,…

General Relativity and Quantum Cosmology · Physics 2023-09-27 Alexander B. Balakin , Alexei S. Ilin , Amir F. Shakirzyanov

This paper studies axial gravitational perturbations of a uniform-density star in scalar-Einstein-{\AE}ther theory. By applying the Israel junction conditions explicitly in the presence of a scalar field minimally coupled to the…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Kai Lin , Wei-Liang Qian , Alan B. Pavan , Amilcar Rabelo de Queiroz , Elcio Abdalla

We develop a new method for calculation of quasi-normal modes of black holes, when the effective potential, which governs black hole perturbations, is known only numerically in some region near the black hole. This method can be applied to…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. A. Konoplya , A. Zhidenko

In the framework of the Einstein-Dirac-axion-aether theory we consider the quartet of self-interacting cosmic fields, which includes the dynamic aether, presented by the unit timelike vector field, the axionic dark mater, described by the…

General Relativity and Quantum Cosmology · Physics 2021-09-07 Alexander B. Balakin , Anna O. Efremova

We extend the duality symmetry between the electric and the magnetic fields to the case in which an additional axion-like term is present, and we derive the set of Maxwell's equations that preserves this symmetry. This new set of equations…

Classical Physics · Physics 2022-06-14 Luca Visinelli

We propose a toy model of Dark Energy in which the degrees of freedom currently dominating the energy density of the universe are described by a pseudo-scalar "axion field" linearly coupled to the Pontryagin density, $ \text{tr}(F \wedge…

High Energy Physics - Theory · Physics 2016-12-13 Stephon Alexander , Robert Brandenberger , Juerg Froehlich

We use a dynamical systems analysis to investigate the future behaviour of Einstein-Aether cosmological models with a scalar field coupling to the expansion of the aether and a non-interacting perfect fluid. The stability of the equilibrium…

General Relativity and Quantum Cosmology · Physics 2013-03-14 Patrik Sandin , Bassemah Alhulaimi , Alan Coley