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Noncommutative Wormholes in f(R) Gravity with Lorentzian Distribution

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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 Lorentzian 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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Acknowledgements

F.R. is thankful to the authority of Inter-University Center for Astronomy and Astrophysics, Pune, India for providing them Visiting Associateship under which a part of this work was carried out. A.B. is also thankful to IUCAA for giving him an opportunity to visit IUCAA where a part of this work was carried out. F.R. is also thankful UGC, Govt. of India under research award scheme, for providing financial support.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, 700 032, West Bengal, India

    Farook Rahaman & Ayan Banerjee

  2. School of Natural Sciences, National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan

    Mubasher Jamil & Humaira Idris

  3. Department of Physics, Anand Engineering College, Keetham, Agra, 282 007, India

    Anil Kumar Yadav

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  1. Farook Rahaman
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  2. Ayan Banerjee
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  3. Mubasher Jamil
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  4. Anil Kumar Yadav
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  5. Humaira Idris
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Correspondence to Farook Rahaman.

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Rahaman, F., Banerjee, A., Jamil, M. et al. Noncommutative Wormholes in f(R) Gravity with Lorentzian Distribution. Int J Theor Phys 53, 1910–1919 (2014). https://doi.org/10.1007/s10773-013-1993-5

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  • DOI: https://doi.org/10.1007/s10773-013-1993-5

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