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Gravitomagnetic effect in magnetized neutron stars

Abstract : Rotating bodies in General Relativity produce frame dragging, also known as the {\it gravitomagnetic effect} in analogy with classical electromagnetism. In this work, we study the effect of magnetic field on the gravitomagnetic effect in neutron stars with poloidal geometry, which is produced as a result of its rotation. We show that the magnetic field has a non-negligible impact on frame dragging. The maximum effect of the magnetic field appears along the polar direction, where the frame-dragging frequency decreases with increase in magnetic field, and along the equatorial direction, where its magnitude increases. For intermediate angles, the effect of the magnetic field decreases, and goes through a minimum for a particular angular value at which magnetic field has no effect on gravitomagnetism. Beyond that particular angle gravitomagnetic effect increases with increasing magnetic field. We try to identify this `null region' for the case of magnetized neutron stars, both inside and outside, as a function of the magnetic field, and suggest a thought experiment to find the null region of a particular pulsar using the frame dragging effect.
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Contributor : Sandrine Guesnon <>
Submitted on : Thursday, February 9, 2017 - 10:51:11 AM
Last modification on : Tuesday, August 11, 2020 - 9:52:15 AM

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D. Chatterjee, C. Chakraborty, D. Bandyopadhyay. Gravitomagnetic effect in magnetized neutron stars. Journal of Cosmology and Astroparticle Physics, Institute of Physics (IOP), 2017, 2017, pp.062. ⟨10.1088/1475-7516/2017/01/062⟩. ⟨in2p3-01462919⟩



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