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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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The abstract, sentence by sentence
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
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 |
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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
Papers citing it · 26 sentences without a confident label
Cites it as background 6 papers
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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
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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
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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
Builds on 1 paper
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To clarify this point and set the path to explore more general electromagnetic effects in nonlinear RBGs, it is necessary to extend the analysis of [ref] to the complete electromagnetic case.
Mapping nonlinear gravity into General Relativity with nonlinear electrodynamics · Introduction · 0.85
Cites as background 2 papers
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We begin by defining the action of the EiBI theory as a UV (or high-curvature) modification of GR of the form [equation] For a recent review on this theory and associated models see [ref] .
Born-Infeld inspired modifications of gravity · Eddington-inspired Born-Infeld gravity theory Coupled to EM Fields · 1.00
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The field equation associated to the variation of the connection of these theories were carefully studied in [ref] to explore in detail the role of torsion, and a general analisys of the matthematical formalism of RBGs can be found in [ref] .
The role of torsion in projective invariant theories of gravity with non-minimally coupled matter fields · Field equations of RBGs · 0.98
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