Pith Number

pith:LDQDAFN5

pith:2025:LDQDAFN5EQRUCXEFZ2HQ3XEBGE

not attested not anchored not stored refs resolved

3-dimensional charged black holes in $f({Q})$ gravity

Emmanuel N. Saridakis, G. G. L. Nashed

A novel charged black hole in three-dimensional f(Q) gravity has no continuous limit to the BTZ solution of general relativity.

arxiv:2506.10046 v3 · 2025-06-11 · gr-qc · hep-th

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\pithnumber{LDQDAFN5EQRUCXEFZ2HQ3XEBGE}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

our analysis reveals a novel charged solution that is asymptotically Anti-de Sitter (AdS) but cannot be continuously deformed into a GR counterpart, and thus arising purely from the higher-order nature of the non-metricity corrections.

C2weakest assumption

The assumption that a cubic polynomial form for f(Q) is sufficient to produce exact solutions while preserving the required symmetries and asymptotic behavior (implicit in the choice of f(Q) and the metric ansatz in the derivation of the field equations).

C3one line summary

New exact charged black hole solutions in (2+1)D f(Q) gravity with cubic form yield a novel AdS solution without GR counterpart, with multiple horizons, stable thermodynamics, and stable photon orbits.

References

105 extracted · 105 resolved · 20 Pith anchors

[1] is shown in Fig. 1. As we observe, depending on the appropriate choice of the value of ϕ , the black hole can have two horizons, the inner one r− and the outer r+, it can have one horizon rd (when the

[2] depends only on the coordinate r, being independent of the coordinates t and φ. Therefore, there exist two Killing vectors ∂t = ∂ ∂t and ∂φ = ∂ ∂φ , and the corresponding constants of motion with resp

[3] G., et al., 1998, @doi [AJ] 10.1086/300499 , http://adsabs.harvard.edu/abs/1998AJ....116.1009R 116 1998 · arXiv:astro-ph/9805201

[4] Planck 2015 results. X. Diffuse component separation: Foreground maps 2016 · arXiv:1502.01588

[5] Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters 2016 · arXiv:1507.02704

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-30T01:17:23.820311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58e03015bd2423415c85ce8f0ddc813113635e3c5789af7e0df1b43209259deb

Aliases

arxiv: 2506.10046 · arxiv_version: 2506.10046v3 · doi: 10.48550/arxiv.2506.10046 · pith_short_12: LDQDAFN5EQRU · pith_short_16: LDQDAFN5EQRUCXEF · pith_short_8: LDQDAFN5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LDQDAFN5EQRUCXEFZ2HQ3XEBGE \
  | 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: 58e03015bd2423415c85ce8f0ddc813113635e3c5789af7e0df1b43209259deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef45343f24e53077cd0f4e103d0670bccc9510c3bffc4f9f2ce6e68c6482fb7a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-11T08:00:24Z",
    "title_canon_sha256": "19480b72b2dcbcd8debf904f6b5bded4b01e82a786c032c1102b3760c2e94aeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10046",
    "kind": "arxiv",
    "version": 3
  }
}