https://doi.org/10.1140/epjc/s10052-023-11741-2
Regular Article - Theoretical Physics
A viable form of teleparallel F(T) theory of gravity
1
Department of Physics, Bankura University, 722155, Bankura, India
2
Department of Physics, Saidabad Manindra Chandra Vidyapith, 742103, Murshidabad, India
3
Department of Physics, Jangipur College, 742213, Murshidabad, India
Received:
4
May
2023
Accepted:
19
June
2023
Published online:
1
July
2023
Unlike F(R) gravity, pure F(T) gravity in the vacuum dominated era does not produce any form, viable to study cosmological evolution. Factually, it does not even produce any dynamics. This eerie situation may be circumvented by associating a scalar field, which can also drive inflation in the very early universe. Here, we particularly show that, despite diverse claims, F(T) theory admits Noether symmetry only in the pressure-less dust era in the form 
being odd integers. A suitable form of F(T), admitting inflation in the very early universe, a viable Friedmann-like radiation dominated era, together with early deceleration and late-time accelerated expansion in the pressure-less dust era, has been proposed.
© The Author(s) 2023
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