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A note on no-hair properties of static black holes in four and higher dimensional spacetimes with cosmological constant

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arxiv 2310.16395 v2 pith:OO6NDXG4 submitted 2023-10-25 gr-qc hep-th

A note on no-hair properties of static black holes in four and higher dimensional spacetimes with cosmological constant

Akihiro Ishibashi , Satoshi Matsumoto , Yuichiro Yoneo This is my paper
classification gr-qc hep-th
keywords cosmologicalconstantblackholesno-haircaseconditionsstatic
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We study no-hair properties of static black holes in four and higher dimensional spacetimes with a cosmological constant. For the vanishing cosmological constant case, we show a no-hair theorem and also a no-short-hair theorem under certain conditions for the energy-momentum of matter fields. For the positive cosmological constant case, we discuss conditions for hairy static black holes to exist in terms of the energy density of matter fields evaluated at the black hole horizon and the cosmological horizon. For the negative cosmological constant case, we study conditions for hairy black holes by presenting a no-hair theorem in which the asymptotic structure is assumed to be determined by the true cosmological constant.

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Cited by 3 Pith papers

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

  1. Ringdown waves from hairy black holes

    gr-qc 2026-03 conditional novelty 6.0

    Eikonal QNM frequency and damping shifts of perturbatively hairy Schwarzschild/Kerr black holes are expressed directly in terms of anisotropic-fluid density and equation-of-state parameters.

  2. Ringdown waves from hairy black holes

    gr-qc 2026-03 conditional novelty 6.0

    Ringdown frequency and damping shifts of Schwarzschild/Kerr black holes are expressed through the density and anisotropic pressures of the surrounding matter, giving a perturbative map from hairy-black-hole models to ...

  3. Ringdown waves from hairy black holes

    gr-qc 2026-03 unverdicted novelty 5.0

    Derives perturbative formulas for quasinormal-mode frequency shifts in hairy black holes expressed directly in terms of anisotropic-fluid equation-of-state parameters via the eikonal correspondence.