Pith Number

pith:QMBVFRGB

pith:2026:QMBVFRGBVDRJFSKP42CLUVO564

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On cosmological properties of black-hole hair in linearly coupled scalar-Gauss-Bonnet theory

Dar\'io Jaramillo-Garrido, Dra\v{z}en Glavan

Scalar hair around black holes grows both temporally and spatially on superhorizon scales in de Sitter spacetime.

arxiv:2605.14132 v1 · 2026-05-13 · gr-qc

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Record completeness

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Claims

C1strongest claim

We show that this hair exhibits both temporal and spatial growth on superhorizon scales. This growth is not a special consequence of the black hole, but instead follows from the dynamics of a minimally coupled massless scalar field in expanding de Sitter spacetime. Moreover, it is not even specific to black holes, but also arises for a point scalar charge in de Sitter, indicating that a scalarized black hole acts effectively as a localized subhorizon source of scalar perturbations.

C2weakest assumption

The test-field regime in which back-reaction of the scalar hair on the metric is neglected remains valid long enough for the superhorizon growth to be observed, and that the linear coupling and shift symmetry of the scalar-Gauss-Bonnet theory are sufficient to capture the leading cosmological behavior.

C3one line summary

Scalar hair sourced by black holes in de Sitter spacetime grows temporally and spatially on superhorizon scales due to the dynamics of a minimally coupled massless scalar field in expanding spacetime, carrying a steady outward energy flux.

References

35 extracted · 35 resolved · 15 Pith anchors

[1] This, however, does not by itself imply large backreaction or an inconsistency of the de Sitter background

[2] By contrast, on superhorizon scales, b r≫ 1/H − − − − − → β 2H 2 2 √ 6M 2 P [ 640 ( αH β ) 2 − 16(αH/β ) + 1 H 2r2 ]

[3] (40) The proﬁle is singular at the cosmological horizon in these coordinates, but this is only an artifact of the static patch

[4] and at the cosmological horizon ( 46) yields, respectively, (Hr BH)4Q2 = [ 4αF ′(rBH) − C ]2 , (51) (Hr C)4Q2 = [ 4αF ′(rC) − C ]2 . (52) At this stage, however, these conditions still admit four alge

[5] The full scalar proﬁle in these coordinates reads Φ( t, r ) = QH 2t + QH 2w(r) + ϕ (r)

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:11.781391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

830352c4c1a8e292c94fe684ba55ddf7117809411350ae2e098ecaedcd529bc5

Aliases

arxiv: 2605.14132 · arxiv_version: 2605.14132v1 · doi: 10.48550/arxiv.2605.14132 · pith_short_12: QMBVFRGBVDRJ · pith_short_16: QMBVFRGBVDRJFSKP · pith_short_8: QMBVFRGB

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/QMBVFRGBVDRJFSKP42CLUVO564 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 830352c4c1a8e292c94fe684ba55ddf7117809411350ae2e098ecaedcd529bc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19db0dc4888bc75c403ad6c2d00385a9a5bd1c410ab05e923183e4d85ec4a88a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-13T21:33:06Z",
    "title_canon_sha256": "8dc228c407482d1e1272bc233e22bf900e7d9cb1cdfb5eaa1dd2c04886b50a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14132",
    "kind": "arxiv",
    "version": 1
  }
}