Title: Initial-value problem of general relativity. III. Coupled fields and the scalar-tensor theory
Abstract: The initial-value problem of general relativity is treated in the case where the external sources are electromagnetic or neutrino fields. Taking into account the initial conditions that must be satisfied by these fields, we show that the resulting equations in each case form a quasilinear elliptic system of a type that has been treated extensively in previous work. We also treat the initial-value problem of the scalar-tensor theory of gravitation. Throughout this work we use first-order "canonical" gravitational variables. The principal mathematical tools are conformal transformations and a covariant decomposition of symmetric tensors.
Publication Year: 1976
Publication Date: 1976-03-15
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 31
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