Pith Number

pith:W4L4D56M

pith:2026:W4L4D56MMZ7VNGYH4MPEWFRIW2

not attested not anchored not stored refs resolved

Junction Conditions and Gravitational Collapse in Scalar-Tensor-Vector Gravity

Anant Badal, Debanjan Debnath, Kaushik Bhattacharya

In Scalar-Tensor-Vector Gravity, a collapsing FLRW interior matched through an STVG-charged shell to a static RN-like exterior forms horizons in finite proper time.

arxiv:2605.17615 v1 · 2026-05-17 · gr-qc

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\pithnumber{W4L4D56MMZ7VNGYH4MPEWFRIW2}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Using the matching conditions and the nature of the collapsing shell, it is shown that a gravitational collapse can proceed in the present situation, and one can have RN-like horizon formation in finite proper time.

C2weakest assumption

The exterior spacetime is assumed to be a static, spherically symmetric Reissner-Nordström-like solution of the STVG field equations, with the shell carrying an STVG-charge that enables the interior FLRW to match smoothly.

C3one line summary

Derives junction conditions in STVG/MOG and constructs two models of gravitational collapse that form extremal or sub-extremal RN-like black holes.

References

34 extracted · 34 resolved · 2 Pith anchors

[1] Die Rotverschieb ung von extragalaktischen Nebeln 1933

[2] Dark matter and the early Universe: a review 2021

[3] History of dark matter 2018

[4] A Modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis 1983

[5] MOND predictions of halo phenomenology in disc galaxies 2005

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:04:48.664059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b717c1f7cc667f569b07e31e4b1628b6ad00ffa3b99b2bd2ea3f70cb8ed38688

Aliases

arxiv: 2605.17615 · arxiv_version: 2605.17615v1 · doi: 10.48550/arxiv.2605.17615 · pith_short_12: W4L4D56MMZ7V · pith_short_16: W4L4D56MMZ7VNGYH · pith_short_8: W4L4D56M

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/W4L4D56MMZ7VNGYH4MPEWFRIW2 \
  | 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: b717c1f7cc667f569b07e31e4b1628b6ad00ffa3b99b2bd2ea3f70cb8ed38688

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5c5be5e23dbd435016faf9425d99695d22fc7b8379e7adaebedf0c78bc9f51a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-17T19:20:31Z",
    "title_canon_sha256": "acd019537a3db2dc65ede534737e916f72b3f43eaac2e7dcca314d3bf5bc7ed8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17615",
    "kind": "arxiv",
    "version": 1
  }
}