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Black hole hair: twenty--five years after

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arxiv gr-qc/9605059 v1 pith:SCBJD74W submitted 1996-05-28 gr-qc astro-phhep-th

classification gr-qcastro-phhep-th
keywords blackfieldhairholecoupledgaugegeneralrelativity
verification ladder T0 review T1 audit T2 compute T3 formal
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Originally regarded as forbidden, black hole ``hair'' are fields associated with a stationary black hole apart from the gravitational and electromagnetic ones. Several stable stationary black hole solutions with gauge or Skyrme field hair are known today within general relativity. We formulate here a ``no scalar--hair'' conjecture, and adduce some new theorems that almost establish it by ruling out - for all but a small parameter range - scalar field hair of spherical black holes in general relativity, whether the field be self--interacting, coupled to an Abelian gauge field, or nonminimally coupled to gravity.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Inspiral gravitational waveforms from charged compact binaries with scalar hair

    gr-qc 2026-05 unverdicted novelty 7.0 of 10

    In Einstein-scalar-Maxwell theories, charged compact binaries produce gravitational waveforms containing a leading -1 post-Newtonian dipole correction controlled by one deviation parameter b.

  2. Stable black hole solutions with cosmological hair

    gr-qc 2026-03 unverdicted novelty 7.0 of 10

    Stable black hole solutions with cosmological scalar hair are explicitly derived in the cubic Galileon theory, recovering cosmological behavior at large distances and regular short-range dynamics.

  3. Ringdown and lensing of triple systems

    gr-qc 2026-05 conditional novelty 6.0 of 10

    Head-on black-hole mergers next to a companion show Doppler- and redshift-shifted ringdown, lensing magnification behind the lens, and delayed echo images, with only tentative signs of resonant mode excitation.

  4. Ringdown and lensing of triple systems

    gr-qc 2026-05 unverdicted novelty 6.0 of 10

    Numerical relativity simulations of triple black hole systems reveal redshift effects and gravitational lensing in ringdown signals from head-on mergers, with no additional black hole formation from amplified waves.

  5. Weyl-type solutions with multipolar scalar fields

    gr-qc 2026-04 unverdicted novelty 6.0 of 10

    New exact solutions to d-dimensional Einstein-scalar gravity are generated in Weyl form that incorporate multipolar scalars and magnetic fields, with limits matching scalar versions of Schwarzschild-Melvin and Fisher-...

  6. Kaluza-Klein monopole with scalar multiplet hair

    hep-th 2025-07 conditional novelty 6.0 of 10

    Hairy Kaluza-Klein monopole solutions exist for scalar triplets and quadruplets, extending the earlier doublet construction via a Wigner D-matrix ansatz.

  7. Black hole spectroscopy: from theory to experiment

    gr-qc 2025-05 unverdicted novelty 2.0 of 10

    A review summarizing the state of the art in black hole quasinormal modes, ringdown waveform modeling, current LIGO-Virgo-KAGRA observations, and prospects for LISA and next-generation detectors.

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