Relativistic Roche problem for stars in precessing orbits around a spinning black hole
arxiv(2024)
摘要
Tidal disruptions of stars on the equatorial plane orbiting Kerr black holes
have been widely studied. However thus far, there have been fewer studies of
stars in inclined precessing orbits around a Kerr black hole. In this paper, by
using tensor virial equations, we show the presence of possible resonances in
these systems for typical physical parameters of black hole-neutron star
binaries in close orbits or of a white dwarf/an ordinary star orbiting a
supermassive black hole. This suggests the presence of a new instability before
the tidal disruption limit is encountered in such systems.
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