Work

Extrinsic curvature and the Einstein constraints

Year: 2003

Type: article

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.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.67.044022

Authors: Harald P. Pfeiffer, James W. York

Institution: Cornell University

Language: English

Topic: Relativity and Gravitational Theory

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: Coalescence of Binary Black Holes and Neutron Stars: Computational Contributions to LIGO, Einstein's Equations as a Dynamical System, Einstein's Equations as a Dynamical System, Research in Black-Hole Physics and Relativistic Astrophysics