Pith Number

pith:FWOOIVFW

pith:2026:FWOOIVFWCIM7ZY2OI4MQJP4SD5

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Thermal channels of scalar and tensor waves in Jordan-frame scalar--tensor gravity

David S. Pereira, Francisco S.N Lobo, Jos\'e Pedro Mimoso

In Jordan-frame scalar-tensor gravity the modification to gravitational-wave damping is the effective transverse-traceless anisotropic stress from the scalar sector.

arxiv:2603.27386 v2 · 2026-03-28 · gr-qc

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Claims

C1strongest claim

the Jordan-frame modification of gravitational-wave damping is identified with the effective transverse-traceless anisotropic stress of the scalar sector

C2weakest assumption

that the Einstein-like effective-fluid decomposition of the scalar sector remains valid and yields an exact Eckart-type constitutive identification at linear order in the scalar-gradient frame

C3one line summary

Scalar and tensor perturbations in Jordan-frame scalar-tensor gravity admit an exact linear-order Eckart effective-fluid description, with gravitational-wave damping governed by the scalar sector's transverse-traceless anisotropic stress.

References

59 extracted · 59 resolved · 16 Pith anchors

[1] In this limit the scalar-gradient congruence is no longer defined, so the heat-flux interpretation based on vϕ=−φ/˙¯ϕceases to apply. The scalar perturbation nevertheless survives as an ordinary Klein

[2] Metric and connections Starting from the metric(21) we writegab = ¯gab +δgab and imposegacgcb =δab. To first order, δgac ¯gcb + ¯gacδgcb = 0.(A1) For(00), δg00 (−1) + (−1)(−2A) = 0⇒δg00 = 2A.(A2) For(

[3] Derivation of the3 + 1perturbed quantities Starting with δai = ¯ubδ(∇bui) +δub ¯∇b¯ui.(A10) one gets ¯ubδ(∇bui) =δ(∇0ui) =∂0δui−¯Γj 0iδuj−δΓ0 0i¯u0, (A11) since ¯Γ00i = 0,¯u0 =−1. Therefore ¯ubδ(∇bui)

[4] Derivation ofδ[(∇ϕ)2]andδ(□ϕ) First, (∇ϕ)2 =g ab∂aϕ∂bϕ.(A16) Linearizing, δ[(∇ϕ)2] =δgab∂a ¯ϕ∂b ¯ϕ+ 2¯gab∂a ¯ϕ∂bφ.(A17) Since∂i ¯ϕ= 0and¯g00 =−1, δ[(∇ϕ)2] =δg00 ˙¯ϕ2 + 2¯g00 ˙¯ϕ˙φ= 2A˙¯ϕ2−2˙¯ϕ˙φ.(A18)

[5] Detailed derivation of the effective thermal variables We split 8πT(ϕ) ab =X ab +Yab +Zab,(A35) with Xab = ω(ϕ) ϕ2 ( ∇aϕ∇bϕ−1 2gab(∇ϕ)2 ) ,(A36) Yab = 1 ϕ(∇a∇bϕ−gab□ϕ),(A37) Zab =−V ϕgab.(A38) 18 a. T

Formal links

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Cited by

1 paper in Pith

Frame invariant diffusive formulation of scalar-tensor gravity

Receipt and verification

First computed	2026-05-29T02:05:43.813514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d9ce454b61219fce34e471904bf921f5b214cf5aa53688f24ce29d13495ea48

Aliases

arxiv: 2603.27386 · arxiv_version: 2603.27386v2 · doi: 10.48550/arxiv.2603.27386 · pith_short_12: FWOOIVFWCIM7 · pith_short_16: FWOOIVFWCIM7ZY2O · pith_short_8: FWOOIVFW

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FWOOIVFWCIM7ZY2OI4MQJP4SD5 \
  | 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: 2d9ce454b61219fce34e471904bf921f5b214cf5aa53688f24ce29d13495ea48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ad97c848a55f481cc493f460d6db31bfccf4929e56daf4bedab34c35337345e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-28T19:37:17Z",
    "title_canon_sha256": "723647808d71e4ff3622dc8e322020d5d34ad61c310da2ff6634d39897bb373f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.27386",
    "kind": "arxiv",
    "version": 2
  }
}