On Plane Wave Solutions in Lorentz-Violating Extensions of Gravity

Abstract

In this paper, we obtain dispersion relations corresponding to plane wave solutions in Lorentz-breaking extensions of gravity with dimension 3, 4, 5 and 6 operators. We demonstrate that these dispersion relations display a usual Lorentz-invariant mode when the corresponding additive term involves higher derivatives.

Analysis of Birefringence and Dispersion Effects from Spacetime-Symmetry Breaking in Gravitational Waves

“…We now explain in some detail the construction outlined in [14]. The starting point for an action that generalizes (18) is…”

“…where the first term is an equivalent way of writing the standard GR using the totally antisymmetric Levi-Civita tensor density µρακ (equivalent to (18)). It should be remarked at this point that the Lagrange density in (27) is the most general one constructed purely from the metric fluctuations h µν and taken to the quadratic order only.…”

“…The specific consequences of local Lorentz-symmetry breaking for GWs have been studied in several works, within a general effective field theory framework [13][14][15][16][17][18], and in specific models [19][20][21][22][23][24][25]. In particular, the effects on propagation have been determined for generic Lorentz-violating terms in the linearized gravity limit [26], which is the focus in this work.…”

Lorentz Violation in Astroparticles and Gravitational Waves

“…Any type of Lorentz violation introduced at the level of effective field theory can somehow be mapped to the SME; however, the mapping of a specific model may not be obvious at the first place. The articles [11][12][13] provide SME-based analyses and reviews, respectively. The papers [14][15][16][17][18] study phenomena associated with Lorentz violation in specific models and the authors of Refs.…”

“…The smoking gun for Lorentz violation is a two-fold precession, which should give rise to a clear signal in the gravitational-wave spectrum. The paper [12] provides an analysis of gravitational-wave propagation subject to generic SME background fields contracted with field operators of minimal and nonminimal mass dimensions. In particular, configurations known as "aether-like" are studied, which can be expressed in terms of constant vector-valued background fields.…”