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20172026
most citedWill-Nordtvedt PPN formalism applied to renormalization group extensions of general relativity

10 citations · 37 across the 9 of their papers we have counts for

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8 papers · 1 filter

gr-qc2026

Low-energy limit in the anomaly-induced action and the semiclassical cosmological bounce

Wagno Cesar e Silva, Nicolas R. Bertini, Ilya L. Shapiro

In the recently proposed scenario, the cosmological bounce occurs because the initially contracting Universe is not empty. In the region close to singularity, matter contents of th…

gr-qc2025

Post-Newtonian expansion of scale-dependent gravity

Nicolas R. Bertini, Marcos H. Novaes

Scale-dependent gravity is an extension of general relativity in which the Newton and cosmological constants may vary slightly with the energy scale due to remnant low-energy quant…

gr-qc2024★ 1 cited

Scale-dependent gravity and covariant scale-setting

Nicolas R. Bertini

A fundamental element of scale-dependent gravity is the scale-setting procedure. We present a new covariant expression to set the scale that arises when examining the field equatio…

gr-qc2024★ 7 cited

Scale-dependent cosmology from effective quantum gravity in the invariant framework

Nicolas R. Bertini, Davi C. Rodrigues, Ilya L. Shapiro

We explore the possibility of a consistent cosmology based on the gauge-fixing independent running of the gravitational and cosmological constants ( and ) in the framework of…

gr-qc2020★ 2 cited

Primordial perturbations and inflation in a holography inspired Gauss-Bonnet cosmology

Nicolas R. Bertini, Neven Bilic, Davi C. Rodrigues

We consider an action for gravity that, in addition to the Einstein-Hilbert term, contains a function of the Ricci scalar and the Gauss-Bonnet invariant. The specific form of the f…

gr-qc2020★ 7 cited

Primordial perturbations and inflation in holographic cosmology

Nicolas R. Bertini, Neven Bilic, Davi C. Rodrigues

We consider an inflationary scenario in the holographic braneworld with a cosmological fluid occupying the 3+1 dimensional brane located at the holographic boundary of an asymptoti…

gr-qc2019★ 10 cited

Cosmological framework for renormalization group extended gravity at the action level

Nicolas R. Bertini, Wiliam S. Hipolito-Ricaldi, Felipe de Melo-Santos +1

General relativity (GR) extensions based on renormalization group (RG) flows may lead to scale-dependent couplings with nontrivial effects at large distance scales. Here we develop…

gr-qc2017★ 10 cited

Will-Nordtvedt PPN formalism applied to renormalization group extensions of general relativity

Júnior D. Toniato, Davi C. Rodrigues, Álefe O. F. de Almeida +1

Here we apply the full Will-Nordtvedt version of the Parameterized Post-Newtonian (PPN) formalism to a class of General Relativity extensions that are based on nontrivial renormali…