Classical radiation fields for scalar, electromagnetic, and gravitational waves with spacetime-symmetry breaking

TL;DR

This paper develops an effective field theory approach to analyze how spacetime-symmetry breaking affects the generation of scalar, electromagnetic, and gravitational waves, revealing new polarization modes.

Contribution

It provides explicit solutions for radiation fields in Lorentz-violating theories, including novel polarization effects in gravitational waves.

Findings

Longitudinal and breathing polarizations in gravitational waves due to symmetry breaking

Solutions for scalar and electromagnetic radiation in anisotropic, Lorentz-violating backgrounds

Complementary to propagation studies, focusing on wave generation mechanisms

Abstract

An effective field theory framework is used to investigate some Lorentz-violating effects on the generation of electromagnetic and gravitational waves, complementing previous work on propagation. Specifically we find solutions to a modified, anisotropic wave equation, sourced by charge or fluid matter. We derive the radiation fields for scalars, classical electromagnetic radiation, and partial results for gravitational radiation. For gravitational waves, the results show longitudinal and breathing polarizations proportional to coefficients for spacetime-symmetry breaking.