Relativistic stars in differential rotation: bounds on the dragging rate and on the rotational energy

Details Relativistic stars in differential rotation: bounds on the dragging rate and on the rotational energy Relativistic stars in differential rotation: bounds on the dragging rate and on the rotational energy

2003-09-16

arxiv.org/abs/gr-qc/0309073v1

J.Math.Phys. 45 (2004) 677-695

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, no figures, LaTeX. Submitted to J. Math. Phys

Scientific paper

10.1063/1.1636515

For general relativistic equilibrium stellar models (stationary axisymmetric asymptotically flat and convection-free) with differential rotation, it is shown that for a wide class of rotation laws the distribution of angular velocity of the fluid has a sign, say "positive", and then both the dragging rate and the angular momentum density are positive. In addition, the "mean value" (with respect to an intrinsic density) of the dragging rate is shown to be less than the mean value of the fluid angular velocity (in full general, without having to restrict the rotation law, nor the uniformity in sign of the fluid angular velocity); this inequality yields the positivity and an upper bound of the total rotational energy.

Affiliated with

Also associated with

No associations

Rating

Relativistic stars in differential rotation: bounds on the dragging rate and on the rotational energy 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 Relativistic stars in differential rotation: bounds on the dragging rate and on the rotational energy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic stars in differential rotation: bounds on the dragging rate and on the rotational energy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-690427