Quadratic energy-momentum squared gravity: constraints from big bang nucleosynthesis

Fuente: arXiv
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Autores principales: Akarsu, Ozgur, Bouhmadi-López, Mariam, Katirci, Nihan, Uzun, N. Merve
Formato: Preprint
Publicado: 2023
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author Akarsu, Ozgur
Bouhmadi-López, Mariam
Katirci, Nihan
Uzun, N. Merve
author_facet Akarsu, Ozgur
Bouhmadi-López, Mariam
Katirci, Nihan
Uzun, N. Merve
contents In this work, we extend the standard cosmological model within the quadratic energy-momentum squared gravity (qEMSG) framework, introducing a nonminimal interaction between the usual material field ($T_{μν}$) and its accompanying partner field (qEMSF, $T_{μν}^{\rm qEMSF}$), defined by $f(\mathbf{T}^2)=α\mathbf{T}^2$ with $\mathbf{T^2}=T_{μν}T^{μν}$. Adopting an analytical approach within the qEMSG framework, we present a comprehensive exploration of Big Bang Nucleosynthesis (BBN) dynamics. Our analysis selects the radiation-dominated universe solution compatible with the standard cosmological model limit as $α\rightarrow0$ and reveals that qEMSF interaction model can modify the radiation energy density's evolution, potentially altering neutron-proton interconversion rates and consequently affecting $^4$He abundance in various ways. By explicitly defining modifications to the predicted primordial $^4$He mass fraction, $Y_{\rm p}$, we establish the most stringent cosmological constraints on the parameter $α$ based on recent measurements of $Y_{\rm p}$: $(-8.81\leqα\leq8.14)\times10^{-27}\,\mathrm{eV}^{-4}$ (68% CL) from Aver et al.'s primordial $^4$He abundance measurements, aligning with $α=0$. Additionally, $(3.48\leqα\leq4.43)\,\times 10^{-27}\rm{eV}^{-4}$ (68% CL) from Fields et al.'s estimates, utilizing the Planck-CMB estimated baryon density within the standard cosmological model framework, diverges from $α=0$, thereby lending support to the qEMSF interaction model. The study also highlights the bidirectional nature of energy-momentum/entropy transfer in qEMSF interaction model, depending on the sign of $α$. The implications of qEMSF in the presence of additional relativistic relics are also explored, showcasing the model's potential to accommodate deviations from standard cosmology and the Standard Model of particle physics.
format Preprint
id arxiv_https___arxiv_org_abs_2312_11453
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quadratic energy-momentum squared gravity: constraints from big bang nucleosynthesis
Akarsu, Ozgur
Bouhmadi-López, Mariam
Katirci, Nihan
Uzun, N. Merve
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
In this work, we extend the standard cosmological model within the quadratic energy-momentum squared gravity (qEMSG) framework, introducing a nonminimal interaction between the usual material field ($T_{μν}$) and its accompanying partner field (qEMSF, $T_{μν}^{\rm qEMSF}$), defined by $f(\mathbf{T}^2)=α\mathbf{T}^2$ with $\mathbf{T^2}=T_{μν}T^{μν}$. Adopting an analytical approach within the qEMSG framework, we present a comprehensive exploration of Big Bang Nucleosynthesis (BBN) dynamics. Our analysis selects the radiation-dominated universe solution compatible with the standard cosmological model limit as $α\rightarrow0$ and reveals that qEMSF interaction model can modify the radiation energy density's evolution, potentially altering neutron-proton interconversion rates and consequently affecting $^4$He abundance in various ways. By explicitly defining modifications to the predicted primordial $^4$He mass fraction, $Y_{\rm p}$, we establish the most stringent cosmological constraints on the parameter $α$ based on recent measurements of $Y_{\rm p}$: $(-8.81\leqα\leq8.14)\times10^{-27}\,\mathrm{eV}^{-4}$ (68% CL) from Aver et al.'s primordial $^4$He abundance measurements, aligning with $α=0$. Additionally, $(3.48\leqα\leq4.43)\,\times 10^{-27}\rm{eV}^{-4}$ (68% CL) from Fields et al.'s estimates, utilizing the Planck-CMB estimated baryon density within the standard cosmological model framework, diverges from $α=0$, thereby lending support to the qEMSF interaction model. The study also highlights the bidirectional nature of energy-momentum/entropy transfer in qEMSF interaction model, depending on the sign of $α$. The implications of qEMSF in the presence of additional relativistic relics are also explored, showcasing the model's potential to accommodate deviations from standard cosmology and the Standard Model of particle physics.
title Quadratic energy-momentum squared gravity: constraints from big bang nucleosynthesis
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2312.11453