Pith Number

pith:ENQXHJVM

pith:2026:ENQXHJVMOXSR5NPAAYYVV2VHIV

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All $2D$ generalised dilaton theories from $d\geq 4$ gravities

Johanna Borissova

Reductions of pure gravities in d ≥ 4 dimensions yield all generic two-dimensional Horndeski theories.

arxiv:2603.06786 v3 · 2026-03-06 · hep-th · gr-qc

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Claims

C1strongest claim

We demonstrate that generic two-dimensional Horndeski theories can arise from the reduction of pure gravities in d ≥ 4 dimensions, and therefore generic onshell configurations for the two-dimensional metric and scalar field correspond to genuine d-dimensional gravitational vacuum solutions.

C2weakest assumption

The reduction is performed on 2+(d-2) warped-product backgrounds and the higher-dimensional action is assumed to produce second-order equations of motion when restricted to such backgrounds; if this restriction does not hold for the full theory or if the warping ansatz misses relevant solutions, the correspondence between 2D onshell configurations and d-dimensional vacuum solutions fails.

C3one line summary

Generic 2D Horndeski theories arise from dimensional reduction of d≥4 gravities, yielding a Birkhoff theorem for quasi-topological gravities where static spherically symmetric solutions satisfy g_tt g_rr = -1 and are determined algebraically.

Cited by

8 papers in Pith

Regular Black Holes in Nonlocal Quasitopological Gravity

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Null geodesic defocusing in dynamical black-hole-to-white-hole transitions

Quasi-topological gravity for 4-dimensional Taub-NUT, near-horizon extreme Kerr, and swirling symmetries

Scattering of electromagnetic field in quasi-topological gravity

Receipt and verification

First computed	2026-06-30T02:17:17.563805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

236173a6ac75e51eb5e006315aeaa74579598d2c79424eea9532266aa723f0b7

Aliases

arxiv: 2603.06786 · arxiv_version: 2603.06786v3 · doi: 10.48550/arxiv.2603.06786 · pith_short_12: ENQXHJVMOXSR · pith_short_16: ENQXHJVMOXSR5NPA · pith_short_8: ENQXHJVM

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ENQXHJVMOXSR5NPAAYYVV2VHIV \
  | 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: 236173a6ac75e51eb5e006315aeaa74579598d2c79424eea9532266aa723f0b7

Canonical record JSON

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    "abstract_canon_sha256": "718db1416851131a5e96bc7faf6fb0b906970dff7c5d09303fa1d4d01fd150bd",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-03-06T19:00:00Z",
    "title_canon_sha256": "9f85bddead5081ac2e7d6ffb1d5fb0c3c642e15571e1ba139739eee808e89436"
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  "source": {
    "id": "2603.06786",
    "kind": "arxiv",
    "version": 3
  }
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