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- W1967995693 abstract "A coordinate-independent formulation of spacetime perturbation-theory is extended beyond the first-order. Higher-order analogs of the second fundamental form (first metric variation) and corresponding higher-order projection identities lead to higher-order perturbation equations for the spacetime metric fields coupled to spacetime. A deformation-geometrical vertex functional or Frechet derivative is introduced and used to express deformation-covariant perturbation equations in terms of action functionals. The deformation-covariant vertex functionals of the Einstein–Hilbert action functional are computed to fourth order (sufficient for third-order perturbation equations)." @default.
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- W1967995693 date "1981-05-01" @default.
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- W1967995693 title "Geometrical spacetime perturbation theory: Regular higher order structures" @default.
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- W1967995693 doi "https://doi.org/10.1063/1.525020" @default.
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