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Perturbation theory for self-gravitating gauge fields: The odd-parity sector

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN: 0556-2821, Vol: 62, Issue: 8, Page: 1-24
2000
  • 10
    Citations
  • 0
    Usage
  • 7
    Captures
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Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    10
    • Citation Indexes
      10
  • Captures
    7

Article Description

A gauge- and coordinate-invariant perturbation theory for self-gravitating non-Abelian gauge fields with the gauge group SU(2) is developed and used to analyze local uniqueness and linear stability properties of non-Abelian equilibrium configurations. It is shown that all admissible stationary odd-parity excitations of the static and spherically symmetric Einstein-Yang-Mills soliton and black hole solutions have a total angular momentum number l=1, and are characterized by nonvanishing asymptotic flux integrals. Local uniqueness and stability results with respect to non-Abelian perturbations are also established for the Schwarzschild and Reissner-Nordström solutions. Finally, unstable modes with l=1 are excluded for the static and spherically symmetric non-Abelian solitons and black holes. ©2000 The American Physical Society.

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