Casimir traversable wormholes for GUP corrected energy densities in <i>f</i> (<i>T</i>) gravity
Shamaila RaniDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus 54000, PakistanM. Bilal Amin SulehriDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus 54000, PakistanAbdul JawadDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus 54000, PakistanUsman ZafarDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus 54000, Pakistan
2022en
ABI
Abstract
Traversable wormholes are always supported by negative energy and therefore an exotic matter source is required for their principle existence. In this work, we consider Casimir energy density as an exotic matter source in the framework of f (T) gravity. In this way, we examine the behavior of shape function, equation of state parameters, energy conditions and stability conditions for wormhole geometry in teleparallel and f (T) gravity. We also assume three different generalized uncertainty principle corrected Casimir wormhole models. We analyze the effect of the generalized uncertainty principle minimal parameter on the constructed wormhole properties in f (T) gravity.
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