Moments of inertia of relativistic magnetized stars

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.

7 pages, 3 figures, accepted for publication in Astronomy and Astrophysics

References in corpus (4)

• Glitches in Southern Pulsars
• Bumpy Spin-Down of Anomalous X-Ray Pulsars: The Link with Magnetars
• Radiative Precession of an Isolated Neutron Star
• General Relativistic Modification of a Pulsar Electromagnetic Field

Cited by in corpus (11)

• Approximate Universal Relations for Neutron Stars and Quark Stars
• Axisymmetric equilibrium models for magnetized neutron stars in General Relativity under the Conformally Flat Condition
• General relativistic models for rotating magnetized neutron stars in conformally flat spacetime
• The role of currents distribution in general relativistic equilibria of magnetized neutron stars
• Oscillations of Highly Magnetized Non-rotating Neutron Stars
• Axisymmetric equilibrium models for magnetised neutron stars in Scalar-Tensor Theories
• On the equivalence of approximate stationary axially symmetric solutions of Einstein field equations
• Frame-dragging effects in obliquely rotating magnetars
• Acceleration of charged particles in rotating magnetized star
• Methods for relativistic self-gravitating fluids: From binary neutron stars to black hole-disks and magnetized rotating neutron stars
• Gravitational wave signatures from the phase-transition-induced collapse of a magnetized neutron star