Gravitational Waves in Full, Non-Linear General Relativity
General Relativity and Quantum Cosmology
2022-01-28 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
These notes provide a student-friendly introduction to the theory of gravitational waves in full, non-linear general relativity (GR). We aim for a balance between physical intuition and mathematical rigor and cover topics such as the Newman-Penrose formalism, electromagnetic waves, asymptotically Minkowski spacetimes, the peeling theorem, the universal structure of null infinity, the Bondi-Metzner-Sachs group, and the definition of radiative modes in linear as well as in non-linear GR. Many exercises and some explicitly calculated examples complement the abstract theory and are designed to help students build up their intuition and see the mathematical machinery at work.
Cite
@article{arxiv.2201.11634,
title = {Gravitational Waves in Full, Non-Linear General Relativity},
author = {Fabio D'Ambrosio and Shaun D. B. Fell and Lavinia Heisenberg and David Maibach and Stefan Zentarra and Jann Zosso},
journal= {arXiv preprint arXiv:2201.11634},
year = {2022}
}
Comments
127 pages, 12 figures