On the role of magnetars-like magnetic fields into the dynamics and gravitational wave emission of binary neutron stars. (English) Zbl 1518.85006
Summary: Modelling the magnetic interaction of a binary system of neutron stars as a dipole, we can include the magnetic effect in the Newtonian and in the inspiral dynamics of the system using an equivalent one-body description. Furthermore, in the inspiral stage, we determine the role of the magnetic interaction in the waveforms generated by the system and obtain explicit formulas for the decrease in the separation of the stars, time to reach a minimal radius, gravitational luminosity and change of gravitational wave frequency, all of which are within the quadrupole approximation. For the magnitude of the magnetic field that is considered the maximum possible in order to underline the effects in the dynamics of these binaries \(\sim 10^{16}\)G we are able to show that its effect on the observable quantities is of the order of the 2PN correction, already close to the detection range of the gravitational wave observatories. We also discuss cases where the extreme magnetic fields could have a more significant effect.
MSC:
| 85A15 | Galactic and stellar structure |
| 83C35 | Gravitational waves |
| 78A25 | Electromagnetic theory (general) |
| 70F05 | Two-body problems |
| 81V60 | Mono-, di- and multipole moments (EM and other), gyromagnetic relations |
| 83C25 | Approximation procedures, weak fields in general relativity and gravitational theory |
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