Physics
Scientific paper
Mar 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976phrvd..13.1532i&link_type=abstract
Physical Review D - Particles and Fields, 3rd Series, vol. 13, Mar. 15, 1976, p. 1532-1537.
Physics
15
Boundary Value Problems, Electromagnetic Fields, Neutrinos, Relativity, Scalars, Tensor Analysis, Conformal Mapping, Field Theory (Physics), Gravitation Theory, Theoretical Physics
Scientific paper
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, it is shown that the resulting equations in each case form a quasi-linear elliptical system of a type that has been treated extensively in previous work. The initial-value problem of the scalar-tensor theory of gravitation is also treated. Throughout this work, first-order 'canonical' gravitational variables are used. The principal mathematical tools are conformal transformations and a covariant decomposition of symmetric tensors.
Isenberg James A.
Murchadha N. Ō.
York James W. Jr.
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