Reliability of perturbation theory in general relativity

DOI10.1063/1.528850zbMath0723.53050OpenAlexW2092587320MaRDI QIDQ3210502

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Publication date: 1990

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528850

zbMATH Keywords

perturbation theoryexact solutionsTaylor-expansionEinstein-Yang- Mills equations

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Exact solutions to problems in general relativity and gravitational theory (83C15)

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Cites Work

• Cauchy problems for the conformal vacuum field equations in general relativity
• The structure of the space of solutions of Einstein's equations. II: Several Killing fields and the Einstein-Yang-Mills equations
• Analytic conformal extensions of asymptotically flat space-times
• Convergent and divergent perturbation series and the post-Minkowskian approximation scheme
• Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
• Is perturbation theory misleading in general relativity?
• Radiative gravitational fields in general relativity I. General structure of the field outside the source
• Local linearization stability
• Radiative gravitational fields in general relativity II. Asymptotic behaviour at future null infinity
• On the multipole expansion for stationary space-times
• The inverse function theorem of Nash and Moser