Pith Number

pith:EOXQOBCM

pith:2026:EOXQOBCMC5OEOYKSSNYYKOKZZM

not attested not anchored not stored refs pending

Exact Toda Black Holes of Rank-2 Lie Groups

H. Lu, Peng-Yu Wu, Weicheng Zhao, Ze-Hua Wu

Suitable dilaton couplings let the field equations for two-charge black holes reduce exactly to one-dimensional Toda equations of every rank-2 Lie group, producing explicit solutions in arbitrary dimensions.

arxiv:2604.14288 v2 · 2026-04-15 · hep-th · gr-qc

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\pithnumber{EOXQOBCMC5OEOYKSSNYYKOKZZM}

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Claims

C1strongest claim

We find that for suitable dilaton couplings, the equations of motion can be cast into one-dimensional Toda equations of all rank-2 Lie groups. This allows us to construct exact black holes associated with all the rank-2 Lie groups. The B2 and G2 Toda black holes are new.

C2weakest assumption

The assumption that suitable dilaton couplings exist such that the full system of Einstein-Maxwell-dilaton equations reduces exactly to Toda equations of rank-2 Lie groups without extra constraints or loss of generality.

C3one line summary

Exact spherically symmetric static black hole solutions are constructed for all rank-2 Lie groups by reducing Einstein-Maxwell-dilaton equations to Toda systems, with new B2 and G2 solutions, and thermodynamics derived without explicit metrics.

Receipt and verification

First computed	2026-06-02T02:04:53.136493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23af07044c175c4761529371853959cb13bc9d269e4c63cb7b4cbd182efc9df9

Aliases

arxiv: 2604.14288 · arxiv_version: 2604.14288v2 · doi: 10.48550/arxiv.2604.14288 · pith_short_12: EOXQOBCMC5OE · pith_short_16: EOXQOBCMC5OEOYKS · pith_short_8: EOXQOBCM

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EOXQOBCMC5OEOYKSSNYYKOKZZM \
  | 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: 23af07044c175c4761529371853959cb13bc9d269e4c63cb7b4cbd182efc9df9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be05c8726c658206fc9821c99887a18069d7dc5a013e82af95b521f62c89c2a9",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-15T18:00:03Z",
    "title_canon_sha256": "402e35129bbdc24afd26cda421fa0ca05cf034852b362948794899267b9d6d85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.14288",
    "kind": "arxiv",
    "version": 2
  }
}