http://arxiv.org/abs/2001.05392
We investigate the direct effect of magnetic fields on gravitational waves. To do so, we study the post-Newtonian energy-momentum tensor of the magnetized fluid and the post-Newtonian expansion of the gravitational potential in the wave zone. We show that the magnetic field appears even in the first post-Newtonian order of the multipole moment tensor. Then, we derive an explicit relativistic correction containing the magnetic field contribution to the well-known quadrupole formula. As an application of this derivation, we explicitly prove that the magnetic field of millisecond magnetars can be a promising source of the gravitational waves. We show that this type of gravitational wave is strong enough to be detected by the next generation of the detectors.
E. Nazari and M. Roshan
Thu, 16 Jan 20
11/46
Comments: 3 figures, Comments welcome!