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arXiv · 2201.11634

Gravitational Waves in Full, Non-Linear General Relativity

Fabio D'Ambrosio·Shaun D. B. Fell·Lavinia Heisenberg·David Maibach·Stefan Zentarra·Jann Zosso
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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.

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Fabio D'Ambrosio, Shaun D. B. Fell, Lavinia Heisenberg, David Maibach, Stefan Zentarra, Jann Zosso. 2022-01-27. Gravitational Waves in Full, Non-Linear General Relativity. https://arxiv.org/abs/2201.11634

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