2019
DOI: 10.1016/j.physletb.2019.05.048
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Tidal effects away from the equatorial plane in Kerr backgrounds

Abstract: We study tidal effects on self-gravitating Newtonian stars rotating around a Kerr black hole in stable circular orbits away from the equatorial plane. Such cases are exemplified by a non-vanishing Carter's constant. Here, we calculate the tidal disruption limit (Roche limit) of the star numerically, in Fermi normal coordinates. The Roche limit is found to depend strongly on the choice of the orbit, and differs significantly from the equatorial plane result as one approaches nearly polar orbits. As expected, th… Show more

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Cited by 9 publications
(5 citation statements)
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“…This procedure is performed for different central density ρ c until the Roche lobe filling condition is satisfied. At this critical condition, ∂ρ/∂q 1 at the surface of the star at (q s , 0, 0) becomes smoothly zero (for more details on the numerical procedure, see Banerjee et al (2019)).…”
Section: Numerical Proceduresmentioning
confidence: 99%
“…This procedure is performed for different central density ρ c until the Roche lobe filling condition is satisfied. At this critical condition, ∂ρ/∂q 1 at the surface of the star at (q s , 0, 0) becomes smoothly zero (for more details on the numerical procedure, see Banerjee et al (2019)).…”
Section: Numerical Proceduresmentioning
confidence: 99%
“…Details of the numerical procedure as well as determination of the constants, viz. C, p, q g , etc from different boundary conditions can be found in [64].…”
Section: Jcap03(2021)042mentioning
confidence: 99%
“…This procedure is repeated until the desired convergence is obtained. A full numerical description is given in [37]. We find the minimum possible central density ρ crit for which the star just remains stable in the tidal field.…”
Section: Preliminaries and Setupmentioning
confidence: 99%