https://doi.org/10.1140/epjc/s10052-016-4472-3
Regular Article - Theoretical Physics
Shadow of a charged rotating non-commutative black hole
1
Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan
2
Pakistan Academy of Sciences, 3 Constitution Avenue, G-5/2, Islamabad, Pakistan
* e-mail: msharif.math@pu.edu.pk
Received:
9
August
2016
Accepted:
19
October
2016
Published online:
18
November
2016
This paper investigates the shadow of a charged rotating non-commutative black hole. For this purpose, we first formulate the null geodesics and study the effects of a non-commutative charge on the photon orbit. We then explore the effect of spin, angle of inclination as well as non-commutative charge on the silhouette of the shadow. It is found that shape of the shadow deviates from the circle with the decrease in the non-commutative charge. We also discuss observable quantities to study the deformation and distortion in the shadow cast by the black hole which decreases for small values of a non-commutative charge. Finally, we study the shadows in the presence of plasma. We conclude that the non-commutativity has a great impact on the black hole shadow.
© The Author(s), 2016