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Initial-value problem of general relativity. III. Coupled fields and the scalar-tensor theory

Initial-value problem of general relativity. III. Coupled fields and the scalar-tensor theory 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Initial-value problem of general relativity. III. Coupled fields and the scalar-tensor theory

Physical Review D , Volume 13 (6) – Mar 15, 1976
6 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1976 The American Physical Society
ISSN
1089-4918
DOI
10.1103/PhysRevD.13.1532
Publisher site
See Article on Publisher Site

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.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Mar 15, 1976

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