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arXiv · 1510.09170

Dynamical response to a stationary tidal field

Philippe Landry·Eric Poisson
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Abstract

We demonstrate that a slowly rotating compact body subjected to a stationary tidal field undergoes a dynamical response, in which the fluid variables and the interior metric vary on the time scale of the rotation period. This dynamical response requires the tidal field to have a gravitomagnetic component generated by external mass currents; the response to a gravitoelectric tidal field is stationary. We confirm that in a calculation carried out to first order in the body's rotation, the exterior geometry bears no trace of this internal dynamics; it remains stationary in spite of the time-dependent interior.

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Philippe Landry, Eric Poisson. 2015-10-30. Dynamical response to a stationary tidal field. https://doi.org/10.1103/physrevd.92.124041

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