On nonmaximal solutions to the initialvalue constraints of general relativity
Abstract
This paper investigates a series of solutions to the initialvalue 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 initialvalue problem.
 Publication:

Nuovo Cimento B Serie
 Pub Date:
 July 1976
 DOI:
 10.1007/BF02723346
 Bibcode:
 1976NCimB..34..141M
 Keywords:

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