Abstract
We use Big Bang Nucleosynthesis (BBN) observational data on the primordial abundance of light elements to constrain f(T) gravity. The three most studied viable f(T) models, namely the power law, the exponential and the square-root exponential are considered, and the BBN bounds are adopted in order to extract constraints on their free parameters. For the power-law model, we find that the constraints are in agreement with those obtained using late-time cosmological data. For the exponential and the square-root exponential models, we show that for reliable regions of parameters space they always satisfy the BBN bounds. We conclude that viable f(T) models can successfully satisfy the BBN constraints.
Highlights
Cosmological observations coming from Type Ia Supernovae [1,2], cosmic microwave background radiation [3,4] and the large scale structure [5,6] provide evidence that the Universe is currently in an accelerating phase
The dark-energy sector eventually dominates over the cold dark matter (CDM), and it drives the Universe to the observed accelerating expansion
The torsion tensor is achieved from products of first derivatives of tetrad fields, and no second derivatives appear. This teleparallel approach [7,8], is closely related to general relativity, except for “boundary terms” [9,10] that involve total derivatives in the action, and one can construct the Teleparallel Equivalent of General Relativity (TEGR), which is completely equivalent with general relativity at the level of equations but is based on torsion instead of curvature
Summary
Cosmological observations coming from Type Ia Supernovae [1,2], cosmic microwave background radiation [3,4] and the large scale structure [5,6] provide evidence that the Universe is currently in an accelerating phase. A possibility that can be explored to explain the accelerated phase of the Universe is to consider a theory of gravity based on the Weitzenböck connection, instead of the Levi-Civita one, which deduces that the gravitational field is described by the torsion instead of the curvature tensor. In this work, we shall confront various f (T ) gravity models with BBN calculations based on current observational data on the primordial abundance of 4He, and we shall extract constraints on their free parameters. In what follows we shall investigate the bounds that arise from the BBN constraints, on the free parameters of the three f (T ) models presented in the previous section. These constraint will be determined using Eqs.
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