Gyromagnetic ratio of rapidly rotating compact stars in general relativity

Details Gyromagnetic ratio of rapidly rotating compact stars in general relativity Gyromagnetic ratio of rapidly rotating compact stars in general relativity

2003-06-03

arxiv.org/abs/gr-qc/0306010v1

Class.Quant.Grav. 20 (2003) 3051-3060

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 6 figures, accepted for publication in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/20/14/307

We numerically calculate equilibrium configurations of uniformly rotating and charged neutron stars, in the case of insulating material and neglecting the electromagnetic forces acting on the equilibrium of the fluid. This allows us to study the behaviour of the gyromagnetic ratio for those objects, when varying rotation rate and equation of state for the matter. Under the assumption of low charge and incompressible fluid, we find that the gyromagnetic ratio is directly proportional to the compaction parameter M/R of the star, and very little dependent on its angular velocity. Nevertheless, it seems impossible to have g=2 for these models with low charge-to-mass ratio, where matter consists of a perfect fluid and where the collapse limit is never reached.

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