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Paper   IPM / Astronomy / 16334
School of Astronomy
  Title:   Critical Tidal Currents in General Relativity
  Author(s):  B. Mashhoon
  Status:   Published
  Journal: Universe
  Vol.:  6
  Year:  2020
  Supported by:            ipm IPM
Relativistic tidal equations are formulated with respect to the rest frame of a central gravitational source and their solutions are studied. The existence of certain relativistic critical tidal currents are thereby elucidated. Specifically, observers that are spatially at rest in the exterior Kerr spacetime are considered in detail; in effect, these fiducial observers define the rest frame of the Kerr source. The general tidal equations for the free motion of test particles are worked out with respect to the Kerr background. The analytic solutions of these equations are investigated and the existence of a tidal acceleration mechanism is emphasized

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