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Magnetic tidal Love numbers clarified · Around

2018

Magnetic tidal Love numbers clarified

Pani, Paolo, Gualtieri, Leonardo, Abdelsalhin, Tiziano et al.

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In this brief note, we clarify certain aspects related to the magnetic (i.e., odd parity or axial) tidal Love numbers of a star in general relativity.

Magnetic tidal deformations of a compact star had been computed in 2009 independently by Damour and Nagar and by Binnington and Poisson.
More recently, Landry and Poisson showed that the magnetic tidal Love numbers depend on the assumptions made on the fluid, in particular they are different (and of opposite sign) if the fluid is assumed to be in static equilibrium or if it is irrotational.
We show that the zero-frequency limit of the Regge-Wheeler equation forces the fluid to be irrotational.

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