A complete cosmological scenario in teleparallel gravity
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A complete cosmological scenario in teleparallel gravity Sanjay Mandala
, P. K. Sahoob
Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, Hyderabad 500078, India Received: 7 July 2020 / Accepted: 27 August 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Teleparallel gravity is a modified theory of gravity in which the Ricci scalar R of the Lagrangian is replaced by the general function of torsion scalar T in action. With that, cosmology in teleparallel gravity becomes profoundly simplified because it is a secondorder theory. The article presents a complete cosmological scenario in f (T ) gravity with f (T ) = T + β(−T )α , where α and β are model parameters. We present the profiles of energy density, pressure, and equation-of-state parameter. Next to this, we employ statefinder diagnostics to check deviation from the CDM model as well as the nature of dark energy. Finally, we discuss the energy conditions to check the consistency of our model and observe that SEC violates in the present model supporting the acceleration of the universe as per present observation.
1 Introduction Several observations confirm that the universe is accelerating in every second [1–15]. The main gradient which is responsible for the acceleration of the universe is unknown so-called dark energy. Nowadays, one of the difficult problems of modern cosmology and particle physics is to identify the properties of dark energy. The first time, it was described correctly by adding a cosmological constant () to Einstein’s equation, but its magnitude is unwanted and unmotivated by the fundamental physics. Also, it has agreed that approximately 75% of the total energy of the universe is covered with dark energy. Furthermore, according to observations, it is represented by an EoS parameter ω −1. Looking at all these things, cosmologists have proposed a lot of proposals to overcome this problem [16–27]. The modification of general relativity was a great idea to describe dark energy. As a result, several modified theories have been proposed in the literature. Because it presents the nature of dark energy as a geometrical property of the universe, also, all the modified gravity theories are connected to the modification of Einstein–Hilbert action [28]. The modified theories of gravity, such as f (R) gravity, f (R, T ) gravity, and Gauss–Bonnet gravity, are widely used in modern cosmology (some interesting results reported in [29–45]). A well-established modified theory of gravity, which has attracted the interests of the cosmologists, is the so-called f (T ) teleparallel gravity [46–49]. Teleparallel gravity is motivated by the generalization of f (R) gravity in which the arbitrary function f of Ricci scalar
a e-mail: [email protected] b e-mails: [email protected]; [email protected] (corresponding author)
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Eur. Phys. J. Plus
(2020) 135:706
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