Eur. Phys. J. Plus (2016) 131: 420
https://doi.org/10.1140/epjp/i2016-16420-0

Regular Article

Unimodular f(T) gravity

¹ Institut de Mathématiques et de Sciences Physiques (IMSP), 01 BP 613, Porto-Novo, Benin
² Faculté des Sciences et Techniques de Natitingou, Université de Parakou, Parakou, Benin
³ Université des Comores (UDC) - Comores, BP 2585, Moroni, Comoros

^* e-mail: nassurmaeva@gmail.com

Received: 4 November 2016
Accepted: 9 November 2016
Published online: 6 December 2016

Abstract

We have set the goal to reconstruct the geometric actions f(T) in unimodular f (T) gravity. The unimodular f (T) gravity gave us stunning properties related to the way we write the modified Friedmann equations. Indeed, it has been found that depending on how the Friedmann equations are given, the Lagrange multipliers may or not depend on the time parameter , and at the same time the reconstruction functions f(T) can easily be made generallly (not depending on the given scale factor) or determine a particular way (depending on the given scale factor), in the vacuum. It is noted that the reconstruction of a general action joins a philosophy of unimodular gravity for the constant .