Gravitational Waves: The Mathematical Background

DOI10.1007/978-981-15-0422-8_34zbMath1453.83006OpenAlexW3010804184MaRDI QIDQ3300043

Subenoy Chakraborty

Publication date: 27 July 2020

Published in: Mathematical Analysis and Applications in Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-0422-8_34

zbMATH Keywords

initial value problemLorentzian manifoldgravitational waves

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Gravitational waves (83C35) Einstein equations (35Q76) Mathematical modeling or simulation for problems pertaining to relativity and gravitational theory (83-10)

Cites Work

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• The bounded \(L^2\) curvature conjecture
• Global aspects of the Cauchy problem in general relativity
• Théorème d'existence pour certains systèmes d'équations aux dérivées partielles non linéaires
• Hadamard regularization
• Generation of Post-Newtonian Gravitational Radiation via Direct Integration of the Relaxed Einstein Equations
• Nonlinear nature of gravitation and gravitational-wave experiments
• Gravity
• Dimensional regularization of the gravitational interaction of point masses
• Gravitational radiation from post-Newtonian sources and inspiralling compact binaries

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