Moments of inertia of relativistic magnetized stars
K. Konno
TL;DR
This paper derives the general relativistic expression for the moments of inertia of magnetized, axisymmetric stars and provides numerical estimates showing they differ from Newtonian predictions by up to a factor of 2.
Contribution
It presents a new general relativistic formula for the moments of inertia of magnetized stars and compares it with Newtonian estimates.
Findings
Principal moments of inertia are modified by up to a factor of 2 from Newtonian values.
Derived a general expression for the moment of inertia in relativistic magnetized stars.
Numerical estimates for polytropic models illustrate the relativistic effects.
Abstract
We consider principal moments of inertia of axisymmetric, magnetically deformed stars in the context of general relativity. The general expression for the moment of inertia with respect to the symmetric axis is obtained. The numerical estimates are derived for several polytropic stellar models. We find that the values of the principal moments of inertia are modified by a factor of 2 at most from Newtonian estimates.
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