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arXiv · 2505.09544

Constraining superluminal Einstein-\AE{}ther gravity through gravitational memory

Lavinia Heisenberg·Benedetta Rosatello·Guangzi Xu·Jann Zosso
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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.

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Lavinia Heisenberg, Benedetta Rosatello, Guangzi Xu, Jann Zosso. 2025-05-14. Constraining superluminal Einstein-\AE{}ther gravity through gravitational memory. https://arxiv.org/abs/2505.09544

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