Scattering amplitudes for cylindrical gravitational waves
High Energy Physics - Theory
2024-06-04 v3 General Relativity and Quantum Cosmology
Abstract
Cylindrical gravitational waves are interesting because they enjoy an infinite dimensional symmetry called Geroch symmetry. In this paper, we compute the 2-particle tree-level S-matrix for cylindrical gravitational waves. The model we use is a dimensional reduction of general relativity to two spacetime dimensions. The reduced theory is a nonlinear sigma model. We discuss an SO(2) symmetry of the amplitudes which is a special case of Geroch symmetry.
Cite
@article{arxiv.2306.03150,
title = {Scattering amplitudes for cylindrical gravitational waves},
author = {Robert Penna},
journal= {arXiv preprint arXiv:2306.03150},
year = {2024}
}
Comments
8 pages, 1 figures