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Area of Science:

  • Theoretical physics
  • Astrophysics
  • General relativity

Background:

  • Black holes are described by general relativity, with solutions typically lacking scalar fields.
  • Spontaneous scalarization is a theoretical phenomenon where black holes acquire scalar hair.

Purpose of the Study:

  • To investigate the conditions under which black holes can develop scalar hair.
  • To explore deviations from general relativity in black hole properties.

Main Methods:

  • Studying scalar fields in a black hole background.
  • Analyzing the effects of scalar-curvature coupling.
  • Investigating tachyonic instabilities in the linearized regime.

Main Results:

  • Rapidly rotating black holes (a/M≳0.5) can exhibit tachyonic instabilities when scalar fields couple to curvature.
  • These instabilities lead to spontaneous scalarization, endowing black holes with scalar hair.
  • The resulting black hole solutions differ from general relativity at high spins.

Conclusions:

  • A broad class of theories exists where black holes mimic general relativity at low spins but develop scalar hair at high spins.
  • These findings have significant implications for gravitational wave and electromagnetic observations used to test general relativity.
  • The study opens new possibilities for understanding the nature of black holes and fundamental physics.