Modelling Casimir Wormholes in Extended Gravity

Abstract

A model of traversable wormhole in an extended gravity theory has been proposed. The Casimir effect and Generalised Uncertainty Principle (GUP) arising out of the concept of minimal length have been considered to obtain the shape function, radial and tangential pressure of the wormhole. The effects of the GUP parameter and the parameter of the extended gravity theory on the wormhole properties have been discussed. The energy condition violation by the exotic matter of Casimir wormhole have been shown. Also we have calculated the exotic matter content of the Casimir wormhole that violate the null energy condition.

arXiv comment13 pages, 6 figures

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• Wormhole solutions in $f(R)$ Gravity
• Traversable wormhole models in $f(R)$ gravity
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