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Ricci-Based Gravity theories and their impact on Maxwell and nonlinear electromagnetic models

General Relativity and Quantum Cosmology · Submitted 7 Jul 2019

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In particular, we find that the so-called Eddington-inspired Born-Infeld gravity theory coupled to Maxwell electromagnetism is in direct correspondence with GR coupled to Born-Infeld electromagnetism.

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arXiv ID1907.04183 (version 1)
Pith IDTHBDJ6T5, Pith's permanent record of this paper and its review
CitationAdria Delhom, Emanuele Orazi, Gonzalo J. Olmo. "Ricci-Based Gravity theories and their impact on Maxwell and nonlinear electromagnetic models." arXiv:1907.04183 (2019). https://pith.science/paper/THBDJ6T5
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,203 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.07 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.87 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We extend the correspondence between metric-affine Ricci-Based Gravity theories and General Relativity (GR) to the case in which the matter sector is represented by linear and nonlinear electromagnetic fields. This complements previous studies focused on fluids and scalar fields. We establish the general algorithm that relates the matter fields in the GR and RBG frames and consider some applications. In particular, we find that the so-called Eddington-inspired Born-Infeld gravity theory coupled to Maxwell electromagnetism is in direct correspondence with GR coupled to Born-Infeld electromagnetism. We comment on the potential phenomenological implications of this relation.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We extend the correspondence between metric-affine Ricci-Based Gravity theories and General Relativity (GR) to the case in which the matter sector is represented by linear and nonlinear electromagnetic fields. contribution 1.00 0.94 0.27 asserted 0.99
s1 This complements previous studies focused on fluids and scalar fields. background 0.80 0.11 0.03 asserted 0.97
s2 We establish the general algorithm that relates the matter fields in the GR and RBG frames and consider some applications. contribution 0.81 0.95 0.21 asserted 1.00
s3 In particular, we find that the so-called Eddington-inspired Born-Infeld gravity theory coupled to Maxwell electromagnetism is in direct correspondence with GR coupled to Born-Infeld electromagnetism. result 1.00 0.95 0.62 asserted 1.00
s4 We comment on the potential phenomenological implications of this relation. interpretation 0.96 0.59 0.04 unclear 0.73

What kind of paper the classifier reports this is: theoretical result 0.67 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We extend the correspondence between metric-affine Ricci-Based Gravity theories and General Relativity (GR) to the case in which the matter sector is represented by linear and nonlinear electromagnetic fields. This complements previous studies focused on fluids and scalar fields. We establish the general algorithm that relates the matter fields in the GR and RBG frames and consider some applications. In particular, we find that the so-called Eddington-inspired Born-Infeld gravity theory coupled to Maxwell electromagnetism is in direct correspondence with GR coupled to Born-Infeld electromagnetism. We comment on the potential phenomenological implications of this relation.

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References
How the literature uses it

14 arXiv papers cite this in 33 sentences

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Papers citing it · 26 sentences without a confident label

Cites it as background 6 papers
  • This redefined metric is associated to $∂F/∂ℛ_(μν)$, and its relation with $g_μν$ can be encoded into a deformation matrix $Ω̂$ defined via the relation [equation] When the field equations are satisfied, $(Ω^-1)^α_ν$ can be written as a (model-dependent) algebraic function of the matter fields and one of the metrics [ref] , and it can be expanded in a series of the form[Here we refer to the RBGs that have GR as a low energy limit and which are characterised by a single energy scale $Λ_Q$ at which deviations from GR become non-perturbative.

    Born-Infeld Gravity: Constraints from Light-by-Light Scattering and an Effective Field Theory Perspective · Introduction · 0.88

  • Moreover, non-Riemannian geometry constitues the geometric setup underlying Metric-Affine Gravity (MAG) [ref] , a particularly promising and rather general framework in which the metric and the general affine connection are considered, a priori, as independent fields and the matter Lagrangian depends on the connection as well, which leads to introduce the so-called hypermomentum tensor [ref] .

    Metric-Affine Vector-Tensor Correspondence and Implications in $F(R,T,Q,\mathcal{T},\mathcal{D})$ gravity · Introduction · 0.99

  • This class of gravitational models is defined by a Lagrangian that is an arbitrary analytic function of the metric and the Ricci tensor which features diffheomorphism and projective symmetries; and it encompasses a wide variety of models that are currently under active research; such as Eddington-inspired-Born-Infeld gravity models (see [ref] for a review and [ref] for recent results), Palatini $f(R)$ and $f(R, R^(μν)R_(μν))$ theories (see [ref] for a review and [ref] for recent results), Weyl gravity (see [ref] for recent results) or others.

    Effective interactions in Ricci-Based Gravity models below the non-metricity scale · Introduction · 0.98

What it cites · 19 sentences without a confident label

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