Hawking radiation of a multi-fractional Schwarzschild black hole

Abstract

Following the initial work of Calcagni et al. on the black holes in multi-fractional theories, we focus on the Schwarzschild black hole in multi-fractional theory with q-derivatives. After presenting its Hawking and Hayward temperatures in detail, we verify these results by appealing to the wellknown Hamilton-Jacobi and null geodesic methods of the tunnelling approach to Hawking radiation.A special emphasis is placed on the difference between the geometric and fractional frames.