Tunneling of Hawking Radiation in Starobinsky–Bel–Robinson Gravity

We examine the Hawking radiation of a Schwarszchild-type black hole in Starobinsky–Bel–Robinson (SBR) gravity and calculate the corrected Hawking temperature using the tunneling method. We then discuss the deviation of our Hawking temperature from the standard Schwarszchild result. We relate the corrections to the Hawking temperature beyond the semiclassical approximation. We highlight that starting with a modification of the classical black hole geometry and calculating the semiclassical Hawking temperature yields temperature corrections comparable to those obtained when the classical background is kept unchanged and beyond-semiclassical terms in the temperature are included.