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Resonances of compressible stars in precessing orbits around a spinning black hole

Matteo Stockinger1,* and Masaru Shibata1,2

  • *Contact author: matteo.stockinger@aei.mpg.de
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Phys. Rev. D 111, 123044 – Published 26 June, 2025

DOI: https://doi.org/10.1103/1vwl-2xlp

Abstract

In our previous paper, we reported the presence of a new resonance of an incompressible star orbiting a spinning black hole and showed that it can set in before the tidal disruption limit if the star has an inclined spherical orbit around the black hole. Using the affine model developed by Carter and Luminet, we extend our result to the stars with polytropic equations of state. We give further credence to the result previously found. We also derive the formula for the growth rate of the resonant motion, which is useful for checking the results of hydrodynamics simulations.

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Phys. Rev. D 111, 123044– Published 26 June, 2025
  • Received 12 February 2025
  • Accepted 28 May 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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