Noncommutative inspired 5D charged black hole in Einstein–Gauss–Bonnet theory

This work is devoted to obtaining a five-dimensional charged black hole solution with a static spherically symmetric geometry inspired by a noncommutative geometry, where noncommutativity is implemented only through a Gaussian de-localization of mass and charge sources in Einstein–Gauss–Bonnet gravity. The thermodynamic properties of this black hole were investigated to discover how the charge affected the various parameters as well as the black hole’s stability. Further, with the help of null geodesics and the Hamiltonian–Jacobi approach, the shadow radius is calculated. This allows us to investigate the shadow cast by the corresponding black hole. Concretely, it has been shown that, for a fixed value of the mass parameter, the shadow has a circular shape where its size decreases with an increase in electric charge Q, noncommutativity parameter Θ and GB coupling constant α . Finally, we check the effect of the previous parameters on the energy emission rate.