Pith Number

pith:P5TTDI75

pith:2026:P5TTDI75J3C7CLCNYH3HNQ6SAJ

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Lifshitz-like black branes in arbitrary dimensions and the third law of thermodynamics

Anastasia A. Golubtsova, Irina Ya. Aref'eva, Valeriya D. Nerovnova

Exact Lifshitz-like black brane solutions in arbitrary dimensions satisfy the third law of thermodynamics only for certain choices of warp factors and couplings.

arxiv:2604.08441 v2 · 2026-04-09 · hep-th · gr-qc

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Claims

C1strongest claim

For each model, exact solutions for the metric, scalar field, gauge fields, and coupling functions are derived, incorporating anisotropic scaling exponents and general warp factors, including Gaussian forms. ... We show that the third law of thermodynamics, which requires entropy to vanish as temperature approaches zero, is satisfied for a certain range of parameters in both models. However, for specific warp factors or coupling constants, the entropy-temperature relation exhibits non-monotonic or multi-valued behavior, suggesting the possibility of phase transitions and a violation of the third law.

C2weakest assumption

That specific scalar potentials and field coupling functions can be chosen to admit exact solutions with the desired Lifshitz asymptotics and general warp factors in arbitrary dimensions, while correctly yielding the thermodynamic quantities used to test the third law.

C3one line summary

Exact black brane solutions with Lifshitz asymptotics are derived in arbitrary dimensions for two models, satisfying the third law for some parameters but exhibiting non-monotonic entropy-temperature relations for others.

Cited by

1 paper in Pith

Lifshitz-like Magnetic Black Branes: Third Law of Thermodynamics and the Null Energy Condition

Receipt and verification

First computed	2026-06-02T03:04:41.000990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f6731a3fd4ec5f12c4dc1f676c3d202641d8ab8c4f403c830944d1915bd97a7

Aliases

arxiv: 2604.08441 · arxiv_version: 2604.08441v2 · doi: 10.48550/arxiv.2604.08441 · pith_short_12: P5TTDI75J3C7 · pith_short_16: P5TTDI75J3C7CLCN · pith_short_8: P5TTDI75

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/P5TTDI75J3C7CLCNYH3HNQ6SAJ \
  | 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: 7f6731a3fd4ec5f12c4dc1f676c3d202641d8ab8c4f403c830944d1915bd97a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "849fd10b63bda2f864daa4ddcf4e4a140152f7b9a3c1f17ccb8fcddbac26d3fd",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-09T16:38:57Z",
    "title_canon_sha256": "cc064ccfb7ee8d442de301317d6c208dae33d003e6e7654c5e23b0a3d8c8b867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.08441",
    "kind": "arxiv",
    "version": 2
  }
}