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Multipole Ratios: A New Window into Black Holes.

Iosif Bena1, Daniel R Mayerson1

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|December 14, 2020
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Researchers computed gravitational multipole moments for black holes and microstate geometries. New methods were developed to define and calculate these ratios for Kerr and supersymmetric black holes, revealing new physics.

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Area of Science:

  • Theoretical physics
  • Black hole physics
  • String theory

Background:

  • Gravitational multipole moments characterize black hole spacetimes.
  • Ratios of these moments are crucial for understanding black hole properties.
  • Existing methods struggle with vanishing moments in certain black hole solutions.

Purpose of the Study:

  • To compute gravitational multipole moments for various black hole types.
  • To develop robust methods for calculating dimensionless ratios of these moments.
  • To explore the physics of black holes and microstate geometries through these ratios.

Main Methods:

  • Calculation of gravitational multipole moments for nonextremal, supersymmetric, and Kerr black holes.
  • Development of two novel methods to compute dimensionless ratios of multipole moments.
  • Application of these methods to horizonless microstate geometries.

Main Results:

  • Successful computation of multipole moments and their ratios for diverse black hole solutions.
  • Demonstrated agreement between the two new methods for certain supersymmetric black holes.
  • Derived an infinite number of previously unknown parameters for Kerr black holes.

Conclusions:

  • The developed methods provide a new framework for analyzing black hole and microstate geometry properties.
  • These findings offer novel insights into the physics of Kerr black holes.
  • The study opens new avenues for exploring the parameter space of black hole solutions.