On nonmaximal solutions to the initial-value constraints of general relativity

Details On nonmaximal solutions to the initial-value constraints of general relativity On nonmaximal solutions to the initial-value constraints of general relativity

Jul 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ncimb..34..141m&link_type=abstract

Nuovo Cimento, Sezione B, vol. 34 B, July 11, 1976, p. 141-154.

Astronomy and Astrophysics

Astrophysics

1

Boundary Value Problems, Gravitational Fields, Relativity, Space-Time Functions, Astrophysics, Asymptotic Methods, Cauchy Problem, Degrees Of Freedom, Einstein Equations, Manifolds, Metric Space, Perturbation Theory

Scientific paper

This paper investigates a series of solutions to the initial-value constraints of general relativity which is obtained by perturbing the trace of the extrinsic curvature. This analysis is important for two reasons. Firstly, it completes the proof that flat space is a local energy minimum. Secondly, it casts light on the extent to which this variable can be identified with the gauge degree of freedom in the initial-value problem.

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