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Gravitational Waves in Full, Non-Linear General Relativity

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arxiv 2201.11634 v1 pith:UFQ77PZO submitted 2022-01-27 gr-qc astro-ph.COhep-th

Fabio D'Ambrosio , Shaun D. B. Fell , Lavinia Heisenberg , David Maibach , Stefan Zentarra , Jann Zosso This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords non-linearwavesfullgeneralgravitationalintuitionmathematicalrelativity
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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

    gr-qc 2025-05 conditional novelty 7.0 of 10

    Tensor displacement memory in Einstein-Aether gravity diverges at a critical angle when aether scalar or vector waves travel faster than tensor gravitational waves, motivating a conjecture excluding superluminal Einst...

  2. Probing Gravity -- Fundamental Aspects of Metric Theories and their Implications for Tests of General Relativity

    gr-qc 2024-12 unverdicted novelty 7.0 of 10

    Gravitational wave memory is shown to arise naturally from the Isaacson backreaction formalism in general metric theories of gravity, unifying null and ordinary memory and providing a memory formula valid beyond GR.

  3. Across the Horizon: On Gravitational Wave Flux Laws and Tests of Gravity

    gr-qc 2025-06 conditional novelty 6.0 of 10

    A dissertation deriving BMS flux laws, using them to test waveform models, and forecasting LISA observations of echoes and a stochastic background.

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