Big Bang Nucleosynthesis and Entropy Evolution in $f(R,T)$ Gravity

Abstract

The present article is devoted to constrain the model parameter $\chi$ for the $f(R,T)=R+\chi T$ gravity model by employing the constraints coming from big bang nucleosynthesis. We solve the field equations and constrain $\chi$ in the range $-0.14{\kappa }^2\le \chi \le 0.84{\kappa }^2$ (where ${\kappa }^2=\frac{8\pi G}{c^4}$) from the primordial abundances of light elements such as helium-4, deuterium and lithium-7. We found the abundances of helium-4 and deuterium agrees with theoretical predictions, however the lithium problem persists for the $f(R,T)$ gravity model. We also investigate the evolution of entropy for the constrained parameter space of $\chi$ for the radiation and dust universe. We report that entropy is constant when $\chi =0$ for the radiation dominated universe, whereas for the dust universe, entropy increases with time. We finally use the constraints to show that $\chi$ has negligible influence on the cold dark matter annihilation cross section.

arXiv comment8 pages, 3 figures, Accepted version at European Physical Journal Plus

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• Constraints on Tsallis Cosmology from Big Bang Nucleosynthesis and the Relic Abundance of Cold Dark Matter Particles
• Primordial Big Bang Nucleosynthesis and Generalized Uncertainty Principle
• Swampland dS conjecture in Mimetic $f(R,T)$ gravity
• Inflation in mimetic $f(R,T)$ gravity
• Constraining f(R,T) Gravity From The Dark Energy Density Parameter ${\Omega }_{\Lambda }$
• BBN Constraints on $f(Q,T)$ Gravity
• Redshift Drift in $f(R,T)$ Gravity
• Dark Energy Nature in Logarithmic $f(R,T)$ Cosmology
• Quadratic energy-momentum squared gravity: constraints from big bang nucleosynthesis
• Growth of matter fluctuations in $f(R,T)$ Gravity
• Big Bang Nucleosynthesis constraints on the cosmological evolution in a Universe with a Weylian Boundary
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• Big Bang Nucleosynthesis constraints on space-time noncommutativity
• Constraints on Rényi Entropy through Primordial Big-Bang Nucleosynthesis and Baryogenesis
• Exact Analytical Taub-NUT like Solution in f(T) Gravity
• New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity
• Constraining quantum fluctuations of spacetime foam from BBN
• Constraining Early Dark Energy cosmological models with Big Bang Nucleosynthesis