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arXiv · 1312.7684

Noncommutative Wormholes in $f(R)$ Gravity with Lorentzian Distribution

Farook Rahaman·Ayan Banerjee·Mubasher Jamil·Anil Kumar Yadav·Humaira Idris
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Abstract

In this paper, we derive some new exact solutions of static wormholes in $f(R)$ gravity supported by the matter possesses Lorentizian density distribution of a particle-like gravitational source. We derive the wormhole's solutions in two possible schemes for a given Lorentzian distribution: assuming an astrophysically viable $F(R)$ function such as a power-law form and discuss several solutions corresponding to different values of the exponent (here $F =\frac{df}{dR}$). In the second scheme, we consider particular form of two shape functions and have reconstructed f(R) in both cases. We have discussed all the solutions with graphical point of view.

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Farook Rahaman, Ayan Banerjee, Mubasher Jamil, Anil Kumar Yadav, Humaira Idris. 2013-12-30. Noncommutative Wormholes in $f(R)$ Gravity with Lorentzian Distribution. https://doi.org/10.1007/s10773-013-1993-5

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