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

Journal Article · Mon Mar 15 04:00:00 EST 1976 · Phys. Rev., D, v. 13, no. 6, pp. 1532-1537

OSTI ID:4006083

Isenberg, J A; O'Murchadha, N; York, Jr, J W

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. (AIP)

• Research Organization: Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540
• NSA Number: NSA-33-032151
• OSTI ID: 4006083
• Journal Information: Phys. Rev., D, v. 13, no. 6, pp. 1532-1537, Journal Name: Phys. Rev., D, v. 13, no. 6, pp. 1532-1537; ISSN PRVDA
• Country of Publication: United States
• Language: English

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N76300* --Physics (Theoretical)--Gravitation & General Relativity
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