Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity

Abstract

We confront $f(T,T_G)$ gravity, with Big Bang Nucleosynthesis (BBN) requirements. The former is obtained using both the torsion scalar, as well as the teleparallel equivalent of the Gauss-Bonnet term, in the Lagrangian, resulting to modified Friedmann equations in which the extra torsional terms constitute an effective dark energy sector. We calculate the deviations of the freeze-out temperature $T_f$, caused by the extra torsion terms in comparison to $\Lambda$CDM paradigm. Then we impose five specific $f(T,T_G)$ models and we extract the constraints on the model parameters in order for the ratio $|\Delta T_f/T_f|$ to satisfy the observational BBN bound. As we find, in most of the models the involved parameters are bounded in a narrow window around their General Relativity values as expected, as in the power-law model where the exponent $n$ needs to be $n\lesssim 0.5$. Nevertheless the logarithmic model can easily satisfy the BBN constraints for large regions of the model parameters. This feature should be taken into account in future model building.

9 pages, 3 figures, invited paper to appear in Universe Special Issue "Torsion-Gravity and Spinors in Fundamental Theoretical Physics", Special Issue Editor: Luca Fabbri

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Cited by in corpus (9)

• Myrzakulov Gravity in Vielbein Formalism: A Study in Weitzenböck Spacetime
• Big Bang Nucleosynthesis constraints on the cosmological evolution in a Universe with a Weylian Boundary
• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Constraining primordial black hole masses through $f(R)$ gravity scalarons in Big Bang Nucleosynthesis
• Big Bang Nucleosynthesis constraints on space-time noncommutativity
• Big Bang Nucleosynthesis constraints on $f(T,L_m)$ gravity
• Cosmological Constraints on f(T,B) Gravity from Observations of Early and Late Universe
• Constraining nonminimal f(T) gravity from Primordial Nucleosynthesis to Late-Universe observations
• Growth factor in teleparallel Gauss-Bonnet gravity