Einstein-aether waves

By T. Jacobson, D. Mattingly. 2004

331 citations recorded by the source corpus.

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 unit timelike vector field. General covariance requires that the aether field be dynamical. In this paper we study the linearized theory of such an aether coupled to gravity and find the speeds and polarizations of all the wave modes in terms of the four constants appearing in the most general action at second order in derivatives. We find that in addition to the usual two transverse traceless metric modes, there are three coupled aether-metric modes.

Subfields: Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6f33e5ad97770c90da39750caabef76d9d834f36

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In Astronomy and Astrophysics

In Statistical and Nonlinear Physics

Citations in the corpus

Tests of Lorentz invariance: a 2013 update (2013, background): “If we denote the speeds of the spin-2, spin-1 and spin-0 modes by s2, s1, s0 then we have [215] s(2)2 = (1− c1 − c3) (86)”
Dust of dark energy (2010, background): “It is natural, for example, to consider Lorentz violation in this framework in analogy to Einstein aether theories [29–31].”
k-Essence, superluminal propagation, causality and emergent geometry (2007, background): “In particular we would like to mention the noncommutative solitons [12], Einstein aether waves [13], “superluminal” photons in the DrummondHathrell effect [14, 15] and in the Scharnhorst effect [16, 17].”
Black holes in Einstein-aether and Hořava-Lifshitz gravity (2011, background): “The squared speed (at low energies for HL gravity) of this mode, defined relative to the aether rest frame, is [26]”
Relativistic Quantum Gravity at a Lifshitz Point (2009, methodology): “For example the Bekenstein TeVeS theory of gravity [21] and the Einstein–Aether theory [22] or the “preferred frame” gravity theories of Jacobson and Mattingly [23] are of this kind.”
Einstein-æther gravity: a status report (2008, methodology): “The squared speeds of these modes relative to the æther rest frame are given by [24]”
Zoology of condensed matter: framids, ordinary stuff, extra-ordinary stuff (2015, methodology): “9), it is easy to show that Tμν is symmetric and equivalent to that obtained in [59, 60] with the method of Lagrange multipliers.”
The Confrontation between General Relativity and Experiment (2005, background): “The general class of theories was analyzed by Jacobson and collaborators [137, 183, 138, 99, 113], motivated in part by [156].”
Shadows and deflection angle of charged and slowly rotating black holes in Einstein-Æther theory (2019, methodology): “[54] T.”