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Lucile Cangemi1, Marco Chiodaroli1, Henrik Johansson1,2

  • 1Department of Physics and Astronomy, <a href="https://ror.org/048a87296">Uppsala University</a>, Box 516, 75120 Uppsala, Sweden.

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Summary
This summary is machine-generated.

We developed a new method to calculate the gravitational Compton amplitude for rotating black holes of any quantum spin. This approach simplifies calculations and offers insights into higher-spin theories.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • General Relativity

Background:

  • Understanding black hole properties is crucial in astrophysics and fundamental physics.
  • Calculating gravitational interactions, especially for higher spins, presents significant theoretical challenges.

Purpose of the Study:

  • To construct a tree-level gravitational Compton amplitude for Kerr black holes across all quantum spins (s=0, 1/2, 1, ... ∞).
  • To derive the classical amplitude to all orders in the spin vector.
  • To leverage insights from massive higher-spin quantum field theory for a more comprehensive model.

Main Methods:

  • Utilized insights from massive higher-spin quantum field theory, including massive gauge invariance.
  • Employed a chiral-field approach to ensure correct degrees of freedom and simplify off-shell interactions.
  • Applied homogeneous symmetric polynomials of spin variables to describe the spin-s Compton amplitude.

Main Results:

  • Successfully constructed a candidate tree-level gravitational Compton amplitude for Kerr black holes.
  • Derived the corresponding classical amplitude valid to all orders in the spin vector.
  • Demonstrated a simplified interaction structure for general spin, consistent with theoretical expectations.

Conclusions:

  • The developed method provides a unified framework for studying gravitational Compton amplitudes for black holes of any spin.
  • This work offers a new tool for theoretical physicists exploring quantum gravity and black hole physics.
  • The findings pave the way for further investigations into the classical and quantum properties of rotating black holes.