Gravitational Waves from Thurston Geometries
General Relativity and Quantum Cosmology
2024-07-26 v2 High Energy Physics - Theory
Abstract
It has been established that the famous three-dimensional Thurston geometries have four intrinsically Lorentzian analogs. We explore these spacetimes in three-dimensional general relativity nonminimally coupled to a scalar field together with electromagnetic matter. We find that three of these spacetimes support electromagnetic radiation, while, the other is partially sourced by a nonnull field and supports gravitational radiation. By addressing this problem we have also found a novel type of gravitational Cheshire effect.
Cite
@article{arxiv.2311.12985,
title = {Gravitational Waves from Thurston Geometries},
author = {Daniel Flores-Alfonso and Cesar S. Lopez-Monsalvo and Marco Maceda},
journal= {arXiv preprint arXiv:2311.12985},
year = {2024}
}