English

Shadow of a noncommutative geometry inspired Ay\'on Beato Garc\'ia black hole

General Physics 2018-07-31 v2

Abstract

We introduce the noncommutative geometry inspired Ay\'on Beato Garc\'ia black hole metric and study various properties of this metric by which we try to probe the allowed values of the noncommutative parameter ϑ\vartheta under certain conditions. We then construct the shadow (apparent shape) cast by this black hole. We derive the corresponding photon orbits and explore the effects of noncommutative spacetime on them. We then study the effects of noncommutative parameter ϑ\vartheta, smeared mass m(r)m(r), smeared charge q(r)q(r) on the silhouette of the shadow analytically and present the results graphically. We then discuss the deformation which arises in the shape of the shadow under various conditions. Finally, we introduce a plasma background and observe how the shadow behaves in this scenario.

Keywords

Cite

@article{arxiv.1802.03276,
  title  = {Shadow of a noncommutative geometry inspired Ay\'on Beato Garc\'ia black hole},
  author = {Ashis Saha and Madhav Modumudi and Sunandan Gangopadhyay},
  journal= {arXiv preprint arXiv:1802.03276},
  year   = {2018}
}

Comments

14 pages, 22 figures, comments are welcome