A Semi-Analytical Loss Cone Theory for Tidal Disruption Event Rates Around Kerr Black Holes
- Published
- Source
- arXiv
- Paper number
- 442
- Field
- Research
- arXiv ID
- 2606.18050
Key points
- It is the first semi-analytical incorporation of the spin-dependent loss-cone boundary of Kerr black holes into TDE rate theory.
- Using tidal tensor formalism, it derives tidal disruption and direct capture thresholds as a function of orbital inclination.
- It derives a closed-form capture fraction for the one-dimensional loss-cone problem with nested disruption and capture boundaries.
- It formulates a two-dimensional Fokker-Planck equation that describes simultaneous diffusion in angular momentum magnitude and direction.
- Perturbation analysis proves a first-order bias favoring retrograde star disruption, but shows that the global TDE rate is nearly insensitive to spin.
- It provides an analytical foundation for population-level TDE studies that include spin and orbital inclination.
Paper links
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