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A reconstruction scheme for $f (T)$ $f (T)$ gravity and its consequences in the perturbation level

Department of Mathematics, Amity University, Kolkata, Major Arterial Road, Action Area II, Rajarhat, New Town, Kolkata, West Bengal 700135, India

E-mail Address: surajitchatto@outlook.com

E-mail Address: schattopadhyay1@kol.amity.edu

Permanent address: 38P, New Ballygunge Road, Animesh Apartment, First Floor, Flat 2B, Kolkata 700039, West Bengal, India.

Visiting Associate of the Inter University Centre for Astronomy and Astrophysics, Pune, India.

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https://doi.org/10.1142/S0219887818500251Cited by:7 (Source: Crossref)

Abstract

The present study reports a reconstruction scheme for $f (T)$ $f (T)$ gravity considering the scale factor in the power law form. The equation of state parameter has been studied for this reconstructed model along with the deceleration parameter and the statefinder pair ${r, s}$ ${r, s}$ . The statefinder trajectory has been found to interpolate between dust and $Λ$ $Λ$ CDM phase of the universe. Cosmological evolution of primordial perturbations has been studied through scalar metric fluctuations and finally the reconstructed $f (T)$ $f (T)$ model has been tested for its consistency with the generic expansion of the universe.

Keywords:

AMSC: 83F05, 83D05

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