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Setting Limits on Supersymmetry Using Simplified Models
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Black Holes with Electroweak Hair.

Romain Gervalle1, Mikhail S Volkov1

  • 1Institut Denis Poisson, UMR-CNRS 7013, <a href="https://ror.org/02wwzvj46">Université de Tours</a>, Parc de Grandmont, 37200 Tours, France.

Physical Review Letters
|November 12, 2024
PubMed
Summary

Researchers created novel hairy black holes in the Weinberg-Salam theory. These black holes possess unique properties, including superconducting currents and a mass-to-charge ratio preventing decay, suggesting physical relevance.

Area of Science:

  • Theoretical physics
  • Black hole physics
  • Electroweak theory

Background:

  • The study of black holes is a cornerstone of modern physics, with Reissner-Nordström (RN) black holes representing a fundamental class of charged, non-rotating solutions.
  • The Weinberg-Salam theory unifies the electromagnetic and weak nuclear forces, providing a framework for understanding fundamental particle interactions.
  • Hairy black holes, which possess additional properties beyond mass, charge, and angular momentum, challenge classical black hole uniqueness theorems and offer insights into quantum gravity.

Purpose of the Study:

  • To construct static and axially symmetric magnetically charged hairy black holes within the gravity-coupled Weinberg-Salam theory.
  • To investigate the properties and stability of these novel black hole solutions.
  • To explore the physical implications of the electroweak condensate hair and its interaction with the black hole's magnetic field.

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Main Methods:

  • Construction of black hole solutions using the Einstein-Maxwell equations coupled with the Weinberg-Salam Lagrangian.
  • Analysis of the asymptotic behavior and properties of the resulting spacetime geometries.
  • Investigation of the stability and phase transitions of the hairy black hole solutions, particularly concerning their mass-to-charge ratio and horizon symmetry.

Main Results:

  • Successful construction of static, axially symmetric, magnetically charged hairy black holes.
  • Identification of two classes of black holes: large ones merging with the RN family and small, extremal ones with a ring-shaped electroweak condensate hair.
  • Extremal solutions exhibit a mass below the total charge (M<|Q|) due to negative Zeeman energy, preventing decay into RN black holes.
  • A phase transition occurs with increasing charge, altering the horizon symmetry from spherical to oblate.
  • Planetary-sized black holes with approximately 11% of their mass stored in the hair were identified.

Conclusions:

  • The constructed hairy black holes are stable and possess unique characteristics arising from the interplay between the black hole spacetime and the electroweak condensate.
  • The mass-to-charge ratio and phase transitions indicate novel physical phenomena not observed in standard black hole solutions.
  • These solutions, derived from a well-tested theory, are expected to have significant physical relevance and warrant further investigation.