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Noncommutative Geometry Inspired Wormholes With Conformal Motion

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Abstract

This paper discusses a new wormhole solution that admits conformal motion, given a noncommutative-geometry background. After a discussion of the wormhole geometry and the energy conditions, the analysis proceeds with the calculation of the active gravitational mass, a discussion of the TOV equation describing the equilibrium conditions, as well as the nature of the total gravitational energy. The wormhole spacetime is not asymptotically flat and is therefore cut off at some radial distance and joined to an exterior vacuum solution.

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Acknowledgments

FR and SR gratefully acknowledge support from IUCAA, Pune, India for providing Visiting Associateship under which a part of this work was carried out. IK thanks to IUCAA for giving her an opportunity to visit IUCAA where a part of this work was carried out. FR is also thankful to PURSE, DST and UGC for providing financial support. We are very grateful to an anonymous referee for his/her insightful comments that have led to significant improvements, particularly on the aspects of interpretation.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    F. Rahaman

  2. Department of Physics, Government College of Engineering & Ceramic Technology, Kolkata, 700010, West Bengal, India

    Saibal Ray

  3. Department of Mathematics, R.T.M. Nagpur University, Nagpur, 440033, Maharastra, India

    G. S. Khadekar

  4. Department of Mathematics, Milwaukee School of Engineering, Milwaukee, WI, 53202-3109, USA

    P. K. F. Kuhfittig

  5. Department of Mathematics, Saroj Mohan Institute of Technology, Guptipara, West Bangal, India

    I. Karar

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  1. F. Rahaman
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  2. Saibal Ray
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Correspondence to Saibal Ray.

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Rahaman, F., Ray, S., Khadekar, G.S. et al. Noncommutative Geometry Inspired Wormholes With Conformal Motion. Int J Theor Phys 54, 699–709 (2015). https://doi.org/10.1007/s10773-014-2262-y

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