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Carlos A R Herdeiro1, Eugen Radu1, Hector O Silva2,3

  • 1Departamento de Matemática da Universidade de Aveiro and CIDMA, Campus de Santiago, 3810-183 Aveiro, Portugal.

Physical Review Letters
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Summary

Spin-induced tachyonic instability in scalar fields near Kerr black holes leads to spontaneous scalarization. Black holes with sufficient spin develop scalar hair, confirming spin-induced black hole scalarization.

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Area of Science:

  • Theoretical Physics
  • Black Hole Physics
  • Gravitational Theory

Background:

  • Scalar fields coupled to the Gauss-Bonnet invariant can exhibit instabilities.
  • Kerr black holes are characterized by spin, influencing surrounding fields.

Purpose of the Study:

  • Investigate spin-induced tachyonic instability in scalar fields near Kerr black holes.
  • Determine the conditions for spontaneous scalarization in black hole solutions.

Main Methods:

  • Analysis of scalar field dynamics coupled to the Gauss-Bonnet invariant.
  • Numerical and analytical studies of black hole solutions with scalar hair.

Main Results:

  • A spin-induced linear tachyonic instability occurs for dimensionless spin j≳0.5.
  • Stationary, rotating black hole solutions develop scalar hair above this spin threshold.
  • Black holes below the threshold are described by the standard Kerr solution.

Conclusions:

  • Results strongly support the phenomenon of spin-induced black hole scalarization.
  • The presence and extent of scalar hair are directly linked to black hole spin.