Spectral indices in Eddington-inspired Born-Infeld inflation

Inyong Cho; Jinn-Ouk Gong

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Spectral indices in Eddington-inspired Born-Infeld inflation

Inyong Cho, Jinn-Ouk Gong

General Relativity and Quantum Cosmology · Submitted 23 Jun 2015

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

The authors' main claim Together with the suppression of the tensor-to-scalar ratio EiBI inflation agrees well with the observational data.

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We investigate the scalar and tensor spectral indices of the quadratic inflation model in Eddington-inspired Born-Infeld (EiBI) gravity. We find that the EiBI corrections to the spectral indices are of second and first order in the slow-roll approximation for the scalar and tensor perturbations respectively. This is very promising since the quadratic inflation model in general relativity provides a very nice fit for the spectral indices. Together with the suppression of the tensor-to-scalar ratio EiBI inflation agrees well with the observational data.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We investigate the scalar and tensor spectral indices of the quadratic inflation model in Eddington-inspired Born-Infeld (EiBI) gravity.	contribution 1.00	0.87	0.05	asserted 0.69
s1	We find that the EiBI corrections to the spectral indices are of second and first order in the slow-roll approximation for the scalar and tensor perturbations respectively.	result 1.00	0.96	0.28	asserted 1.00
s2	This is very promising since the quadratic inflation model in general relativity provides a very nice fit for the spectral indices.	interpretation 0.96	0.10	0.14	asserted 0.95
s3	Together with the suppression of the tensor-to-scalar ratio EiBI inflation agrees well with the observational data.	interpretation 0.70	0.62	0.59	asserted 0.78

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Original abstract

We investigate the scalar and tensor spectral indices of the quadratic inflation model in Eddington-inspired Born-Infeld (EiBI) gravity. We find that the EiBI corrections to the spectral indices are of second and first order in the slow-roll approximation for the scalar and tensor perturbations respectively. This is very promising since the quadratic inflation model in general relativity provides a very nice fit for the spectral indices. Together with the suppression of the tensor-to-scalar ratio EiBI inflation agrees well with the observational data.

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3 arXiv papers cite this in 3 sentences

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An inflationary solution driven by an inflaton minimally coupled in the EiBI gravity was obtained and analyzed in Refs. [ref] .

Singular Instantons in Eddington-inspired-Born-Infeld Gravity · Introduction · 0.96
More cosmological issues, like large scale structure, inflationary solution and so on, were investigated in Refs. [ref] .

Scalar perturbations of Eddington-inspired Born-Infeld braneworld · Introduction · 0.98

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Uses the method or tool of 3 papers

As studied in Refs. [ref] , the minimum-energy condition is imposed at the initial moment $τ_*$ of the perturbation production at the near-MPS stage [ref] .

Tensor-to-Scalar Ratio in Eddington-inspired Born-Infeld Inflation · Scalar Perturbation · 0.82
As studied in Refs. [ref] , the minimum-energy condition is imposed at the initial moment $τ_*$ of the perturbation production at the near-MPS stage [ref] .

Scalar Perturbation Produced at the Pre-inflationary Stage in Eddington-inspired Born-Infeld Gravity · Scalar Perturbation · 0.82
As studied in Refs. [ref] , the minimum-energy condition is imposed at the initial moment $τ_*$ of the perturbation production at the near-MPS stage [ref] .

Primordial Power Spectra of EiBI Inflation in Strong Gravity Limit · Scalar Perturbation · 0.82

Uses data or values from 4 papers

The spectral index of the scalar power spectrum is very well constrained as $n_R = 0.968 ±0.006$ at the $68%$ confidence level [ref] , and is another key parameter to judge the viability of a given model.

Planck 2015 results. XX. Constraints on inflation · Introduction · 0.97
The observational bound for the theory parameter $κ$ was obtained from the star-formation studies in Refs. [ref] , $|κ| < 10^-2 m^5 kg^-1s^-2 ∼10^77$ in Planck units.

Eddington-inspired Born-Infeld gravity: astrophysical and cosmological constraints · Conclusions · 0.96
The observational bound for the theory parameter $κ$ was obtained from the star-formation studies in Refs. [ref] , $|κ| < 10^-2 m^5 kg^-1s^-2 ∼10^77$ in Planck units.

Compact stars in Eddington inspired gravity · Conclusions · 0.96

Cites as background 10 papers

In this section, we summarize the inflationary feature investigated in Ref. [ref] , and the scalar and tensor perturbations investigated in Refs. [ref] .

Inflationary Tensor Perturbation in Eddington-inspired Born-Infeld gravity · Summary of EiBI Inflation and Primordial Perturbations · 0.97
In this section, we summarize the inflationary feature investigated in Ref. [ref] , and the scalar and tensor perturbations investigated in Refs. [ref] .

Primordial Power Spectra of EiBI Inflation in Strong Gravity Limit · Summary of EiBI Inflation and Primordial Perturbations · 0.97
In this section, we summarize the inflationary feature investigated in Ref. [ref] , and the scalar and tensor perturbations investigated in Refs. [ref] .

Scalar Perturbation Produced at the Pre-inflationary Stage in Eddington-inspired Born-Infeld Gravity · Summary of EiBI Inflation and Primordial Perturbations · 0.97

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