Pith Number

pith:VKNISYIR

pith:2026:VKNISYIRYWNENFDS4RRAN2GBEX

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Demagnetizing KBR and New Ricci-flat Rotating Metric

H.Lu, Liang Ma

Demagnetizing the Kerr-Bertotti-Robinson solution produces a new Ricci-flat rotating metric deformed by a parameter B, yielding spindle-shaped dome asymptotics where the first law of black hole thermodynamics still holds.

arxiv:2605.13954 v1 · 2026-05-13 · gr-qc · hep-th

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Claims

C1strongest claim

We construct a new Ricci-flat metric by demagnetizing the recently reported Kerr-Bertotti-Robinson (KBR) solution. The metric is a deformation of the Kerr metric characterized by a parameter B, so that the asymptotic Kerr becomes a regular dome of spindle shape with north and south poles. Despite lacking an asymptotically-flat region, we find that the first law of black hole thermodynamics can be established. Some thermodynamic relations are identical to those of the Kerr black hole, as if the constant B is absent.

C2weakest assumption

That demagnetizing the KBR solution yields a valid Ricci-flat metric satisfying the Einstein equations and that thermodynamic quantities and the first law remain well-defined in the resulting non-asymptotically flat spacetime.

C3one line summary

Demagnetizing the KBR solution produces a new Ricci-flat rotating metric with deformation parameter B that preserves key Kerr thermodynamic relations despite non-asymptotically flat boundaries.

References

18 extracted · 18 resolved · 5 Pith anchors

[1] Exact solutions of Einstein’s field equations 2003 · doi:10.1017/cbo9780511535185

[2] Exact Space-Times in Einstein’s General Relativity, 2009 · doi:10.1017/cbo9780511

[3] Observation of Gravitational Waves from a Binary Black Hole Merger 2016 · arXiv:1602.03837

[4] First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole 2019 · doi:10.3847/2041-8213/ab0ec7

[5] Static magnetic fields in general relativity, 1954 · doi:10.1088/0370-1298/67/3/305

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Cited by

1 paper in Pith

Vacuum, ma non troppo: hidden matter distribution in symmetry-transformed electrovacuum spacetimes

Receipt and verification

First computed	2026-05-17T23:39:13.697061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa9a896111c59a469472e46206e8c125fa875b46f0c522528d6041c5a7297edc

Aliases

arxiv: 2605.13954 · arxiv_version: 2605.13954v1 · doi: 10.48550/arxiv.2605.13954 · pith_short_12: VKNISYIRYWNE · pith_short_16: VKNISYIRYWNENFDS · pith_short_8: VKNISYIR

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VKNISYIRYWNENFDS4RRAN2GBEX \
  | 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: aa9a896111c59a469472e46206e8c125fa875b46f0c522528d6041c5a7297edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7117062521e150c95e3b6b336609687f03ad83ae80ba102d9ab947e59ff5b47",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-13T18:00:01Z",
    "title_canon_sha256": "2b459dce45f8ec4d2cb7ca24089bb43dac91197377ec8b4f679a7558a555b918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13954",
    "kind": "arxiv",
    "version": 1
  }
}