Optical properties of a non-commutative rotating black hole

This paper explores the shadow cast by a non-commutative rotating Hayward black hole. The apparent shape as well as the size of the shadow depends upon the spin, non-commutative parameter as well as the parameter g of the said black hole. The size of the shadow decreases with g as well as the non-commutative parameter. Also, the shape of the shadow deviates from a perfect circle for the high values of g and the spin. We then discuss the rate of energy emission. Moreover, we study the impact of plasma on the size, shape as well as the rate of energy emission. We found that the plasma reduces the size and deformation of the shadow.

Automated summary

This paper explores the shadow of a non-commutative rotating Hayward black hole. The shape and size of the shadow depend on the spin, non-commutative parameter, and the parameter g of the black hole. The shadow size decreases with increasing values of g and the non-commutative parameter. Additionally, at high values of g and spin, the shadow deviates from a perfect circle. The paper also discusses the rate of energy emission and the impact of plasma on the shadow's size, shape, and energy emission rate. The findings show that plasma reduces the size and deformation of the shadow.