An introduction to gravitational waves through electrodynamics: a quadrupole comparison

We present a pedagogical introduction to some key computations in gravitational waves via a side-by-side comparison with the quadrupole contribution of electromagnetic radiation. Subtleties involving gauge choices and projections over transverse modes in the tensorial theory are made clearer by dire...

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Bibliographic Details
Published inarXiv.org
Main Authors Dorsch, Glauber C, Porto, Lucas E A
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 28.01.2022
Subjects
Electrodynamics
Electromagnetic radiation
Emission analysis
Gravitational waves
Physics - General Relativity and Quantum Cosmology
Quadrupoles
Radiation
Stability analysis
Transverse electromagnetic modes
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Summary:We present a pedagogical introduction to some key computations in gravitational waves via a side-by-side comparison with the quadrupole contribution of electromagnetic radiation. Subtleties involving gauge choices and projections over transverse modes in the tensorial theory are made clearer by direct analogy with the vectorial counterpart. The power emitted by the quadrupole moment in both theories is computed, and the similarities as well as the origins of eventual discrepancies are discussed. Finally, we analyze the stability of bound systems under radiation emission, and discuss how the strength of the interactions can be established this way. We use the results to impose an anthropic bound on Newton's constant of order \(G\lesssim 3\times 10^4\, G_\text{obs}\), which is on par with similar constraints from stellar formation.
ISSN:2331-8422
DOI:10.48550/arxiv.2201.06722