https://doi.org/10.1140/epjc/s10052-020-8204-3
Regular Article - Theoretical Physics
Cosmological bouncing solutions in f(T, B) gravity
1
Department of Physics, University of Malta, Msida, Malta
2
Institute of Space Sciences and Astronomy, University of Malta, Msida, Malta
* e-mail: maria.caruana.16@um.edu.mt
Received:
23
March
2020
Accepted:
4
July
2020
Published online:
19
July
2020
Teleparallel Gravity offers the possibility of reformulating gravity in terms of torsion by exchanging the Levi-Civita connection with the Weitzenböck connection which describes torsion rather than curvature. Surprisingly, Teleparallel Gravity can be formulated to be equivalent to general relativity for a appropriate setup. Our interest lies in exploring an extension of this theory in which the Lagrangian takes the form of f(T, B) where T and B are two scalars that characterize the equivalency with general relativity. In this work, we explore the possible of reproducing well-known cosmological bouncing scenarios in the flat Friedmann–Lemaître–Robertson–Walker geometry using this approach to gravity. We study the types of gravitational Lagrangians which are capable of reconstructing analytical solutions for symmetric, oscillatory, superbounce, matter bounce, and singular bounce settings. These new cosmologically inspired models may have an effect on gravitational phenomena at other cosmological scales.
© The Author(s), 2020
