Pith Number

pith:JUIVZQSC

pith:2026:JUIVZQSCJIV5HH7G5UZ4QGW7OC

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Threshold-Sharp Conformal Scalar Stability on Carter Slabs and Black Hole Exteriors

Bobby Eka Gunara

The conformal scalar-curvature field on zero-curvature Carter slabs and black hole exteriors is uniformly stable at the affine threshold after removing the explicit obstruction mode.

arxiv:2605.17400 v1 · 2026-05-17 · math.AP · gr-qc · hep-th · math-ph · math.MP

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Record completeness

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4 Citations open

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Claims

C1strongest claim

The main result is a fully closed bounded-slab theorem: the reflecting evolution is constructed, the conserved energy is proved positive, the complete affine threshold obstruction is identified, and all remaining finite-energy dynamics are shown to be uniformly stable with no unstable modes.

C2weakest assumption

The backgrounds are zero-curvature Carter slabs with a reflecting evolution that allows construction of the bounded-slab theorem, as invoked in the abstract for the stability statement.

C3one line summary

Proves threshold-sharp stability for the conformal scalar-curvature sector on Carter slabs and extends the framework to black hole exteriors like Kerr and Reissner-Nordström.

References

20 extracted · 20 resolved · 9 Pith anchors

[1] R. F. Assafari, E. S. Fadhilla, B. E. Gunara, Hasanuddin, and A. Wiliardy,Axisym- metric stationary space-times of constant scalar curvature in four dimensions, Grav- itation and Cosmology29(2023), no 2023 · doi:10.1134/s0202289323020032

[2] Carter,Hamilton-Jacobi and Schrödinger separable solutions of Einstein’s equa- tions, Comm 1968 · doi:10.1007/bf03399503

[3] Chandrasekhar,The Mathematical Theory of Black Holes, International Series of Monographs on Physics, vol 1983

[4] Decay of Solutions of the Wave Equation in the Kerr Geometry 2006 · doi:10.1007/s00220-006-1525-8

[5] Perturbations of a rotating black hole. 1. Fundamental equations for gravitational elec- tromagnetic and neutrino field perturbations 1973 · doi:10.1086/152444

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:56.533266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d115cc2424a2bd39fe6ed33c81adf70b63e1fd6f365fbc762f3edd383f66b95

Aliases

arxiv: 2605.17400 · arxiv_version: 2605.17400v1 · doi: 10.48550/arxiv.2605.17400 · pith_short_12: JUIVZQSCJIV5 · pith_short_16: JUIVZQSCJIV5HH7G · pith_short_8: JUIVZQSC

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JUIVZQSCJIV5HH7G5UZ4QGW7OC \
  | 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: 4d115cc2424a2bd39fe6ed33c81adf70b63e1fd6f365fbc762f3edd383f66b95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d53326890178f69673eeae1c9611f16502ff914d6ae4ee08eebca123a23fa14d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-17T11:42:24Z",
    "title_canon_sha256": "cb3c1ae033db72841ef6cfd61a67a769038820fd0771a9028ad7542845119925"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17400",
    "kind": "arxiv",
    "version": 1
  }
}