The Kalb-Ramond field and Gravitational Parity Violation

Abstract

Gravitational wave physics can probe theories that extend beyond General Relativity. Motivated by the attention on the Kalb-Ramond field as a dark matter candidate, in this work, we study a parity violating dimension four operator which couples the dual Riemann curvature to the 2-form field. After mapping the equations of motion for the right- and left-handed gravitational wave amplitudes to the novel parameterization presented in \cite{Jenks:2023pmk}, we discuss constraints on the model parameters in light of the coincident electromagnetic/gravitational wave signal of GW170817.

Comments: Revised version: corrected error regarding amplitude birefringence, updated results. Published version has an accompanied erratum in process. Refs added, 7 pages, two column, no figures