Physics
Scientific paper
Jul 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4..929n&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, July 1, 1987, p. 929-942. Research supported by the Universidad Nacional
Physics
9
Angular Momentum, Conservation Laws, Einstein Equations, Extremum Values, Tensors, Gravitation Theory, Ideal Fluids, Schwarzschild Metric, Space-Time Functions, Stellar Rotation
Scientific paper
A method for calculating pseudotensor-based conserved quantities for isolated systems in general relativity, independently of the asymptotic behavior of the coordinate system used, is presented. This makes possible the evaluation of such concepts as energy, momentum, and angular momentum in any coordinate system. The calculation is performed for the Schutz-Sorkin gravitational Noether operator, and is illustrated for the Kerr metric using various fields and coordinates. This is used to prove a theorem of extremality of angular momentum for vacuum solutions of Einstein's equations, showing that any two of the following imply the third: (1) the metric is axisymmetric; (2) Einstein's field equations are satisfied; and (3) the total angular momentum is an extremum against all perturbations satisfying a mild restriction. A related theorem for extremizing the angular momentum across a timelike hypersurface is also proved; this theorem provides an alternative way to solve the field equations for axisymmetric gravitational collapse.
Nahmad-Achar Eduardo
Schutz Bernard F.
No associations
LandOfFree
Conserved quantities from pseudotensors and extremum theorems for angular momentum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Conserved quantities from pseudotensors and extremum theorems for angular momentum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conserved quantities from pseudotensors and extremum theorems for angular momentum will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-790128