Constraining Barrow entropy-based Cosmology with power-law inflation

Fuente: arXiv
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Autor principal: Luciano, Giuseppe Gaetano
Formato: Preprint
Publicado: 2023
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author Luciano, Giuseppe Gaetano
author_facet Luciano, Giuseppe Gaetano
contents We study the inflationary era of the Universe in a modified cosmological scenario based on the gravity-thermodynamics conjecture with Barrow entropy instead of the usual Bekenstein-Hawking one. The former arises from the effort to account for quantum gravitational effects on the horizon surface of black holes and, in a broader sense, of the Universe. First, we extract modified Friedmann equations from the first law of thermodynamics applied to the apparent horizon of a Friedmann- Robertson-Walker Universe in (n + 1)-dimensions. Assuming a power-law behavior for the scalar inflaton field, we then investigate how the inflationary dynamics is affected in Barrow cosmological setup. We find that the inflationary era may phenomenologically consist of the slow-roll phase, while Barrow entropy is incompatible with kinetic inflation. By demanding observationally consistency of the scalar spectral index and tensor-to-scalar ratio with recent Planck data, we finally constrain Barrow exponent to $Δ\lesssim10^{-4}$.
format Preprint
id arxiv_https___arxiv_org_abs_2301_12509
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Constraining Barrow entropy-based Cosmology with power-law inflation
Luciano, Giuseppe Gaetano
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We study the inflationary era of the Universe in a modified cosmological scenario based on the gravity-thermodynamics conjecture with Barrow entropy instead of the usual Bekenstein-Hawking one. The former arises from the effort to account for quantum gravitational effects on the horizon surface of black holes and, in a broader sense, of the Universe. First, we extract modified Friedmann equations from the first law of thermodynamics applied to the apparent horizon of a Friedmann- Robertson-Walker Universe in (n + 1)-dimensions. Assuming a power-law behavior for the scalar inflaton field, we then investigate how the inflationary dynamics is affected in Barrow cosmological setup. We find that the inflationary era may phenomenologically consist of the slow-roll phase, while Barrow entropy is incompatible with kinetic inflation. By demanding observationally consistency of the scalar spectral index and tensor-to-scalar ratio with recent Planck data, we finally constrain Barrow exponent to $Δ\lesssim10^{-4}$.
title Constraining Barrow entropy-based Cosmology with power-law inflation
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2301.12509