Published February 15, 2003 | Version v1
Journal article

Extrinsic curvature and the Einstein constraints

  • 1. Department of Physics, Cornell University, Ithaca, New York 14853 (United States)

Description

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

Additional details

Publishing Information

Journal Title
Physical Review. D, Particles Fields
Journal Volume
67
Journal Issue
4
Journal Page Range
p. 044022-044022.8
ISSN
0556-2821
CODEN
PRVDAQ

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
35074968
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
EINSTEIN FIELD EQUATIONS; EXTREME-VALUE PROBLEMS; HAMILTONIANS; LAGRANGIAN FUNCTION; SPACE-TIME; TENSORS; WEIGHTING FUNCTIONS
Descriptors DEC
EQUATIONS; FIELD EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS

Optional Information

Notes
(c) 2003 The American Physical Society