Wormhole inspired by non-commutative geometry

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Abstract

In the present Letter we search for a new wormhole solution inspired by noncommutative geometry with the additional condition of allowing conformal Killing vectors (CKV). A special aspect of noncommutative geometry is that it replaces point-like structures of gravitational sources with smeared objects under Gaussian distribution. However, the purpose of this letter is to obtain wormhole solutions with noncommutative geometry as a background where we consider a point-like structure of gravitational object without smearing effect. It is found through this investigation that wormhole solutions exist in this Lorentzian distribution with viable physical properties.

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Rahaman, F., Karmakar, S., Karar, I., & Ray, S. (2015). Wormhole inspired by non-commutative geometry. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 746, 73–78. https://doi.org/10.1016/j.physletb.2015.04.048

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