Angular momentum conservation for uniformly expanding flows

Details Angular momentum conservation for uniformly expanding flows Angular momentum conservation for uniformly expanding flows

2006-11-04

arxiv.org/abs/gr-qc/0611027v1

Class.Quant.Grav.24:923-930,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 revtex4 pages, 3 eps figures

Scientific paper

10.1088/0264-9381/24/4/012

Angular momentum has recently been defined as a surface integral involving an axial vector and a twist 1-form, which measures the twisting around of space-time due to a rotating mass. The axial vector is chosen to be a transverse, divergence-free, coordinate vector, which is compatible with any initial choice of axis and integral curves. Then a conservation equation expresses rate of change of angular momentum along a uniformly expanding flow as a surface integral of angular momentum densities, with the same form as the standard equation for an axial Killing vector, apart from the inclusion of an effective energy tensor for gravitational radiation.

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