Extrinsic Curvature and the Einstein Constraints

Preprint

7 November 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/0207095

Abstract

The Einstein initial-value equations in the extrinsic curvature (Hamiltonian) representation and conformal thin sandwich (Lagrangian) representation are brought into complete conformity by the use of a decomposition of symmetric tensors which involves a weight function. In stationary spacetimes, there is a natural choice of the weight function such that the transverse traceless part of the extrinsic curvature (or canonical momentum) vanishes.

Keywords

EXTRINSIC CURVATURE
EINSTEIN INITIAL
WEIGHT FUNCTION
VALUE EQUATIONS
REPRESENTATION
THIN SANDWICH
CONFORMAL

All Related Versions

Version 1, 2002-07-24, ArXiv
Version 2, 2002-11-07, ArXiv
Published version: Physical Review D, 67 (4).

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