Constraining superluminal Einstein-\AE{}ther gravity through gravitational memory
Abstract
Every emission of radiation in gravity also includes a nonwavelike component that leaves a permanent change in proper distances of the spacetime it travels through. This phenomenon is known as gravitational displacement memory. Building up on a recently developed computation framework that harnesses Isaacson's insights on a fundamental definition of gravitational waves, we compute the leading displacement memory formula in Einstein-Aether gravity. Our analysis represents the first direct calculation of gravitational memory in a metric theory with nontrivial asymptotic vector field value. We find that an emission of scalar and vector aether waves at a propagation speed greater than the speed of tensor radiation features unprotected causal directions with a priori unbound memory build-up. Based on the results and the existing constraint of luminally propagating tensor waves, we conjecture a stringent exclusion of the superluminal parameter space of Einstein-Aether gravity.
Cite
@article{arxiv.2505.09544,
title = {Constraining superluminal Einstein-\AE{}ther gravity through gravitational memory},
author = {Lavinia Heisenberg and Benedetta Rosatello and Guangzi Xu and Jann Zosso},
journal= {arXiv preprint arXiv:2505.09544},
year = {2025}
}