The effect of the Gauss–Bonnet term on Hawking radiation from arbitrary dimensional black brane

We investigate the probabilities of the tunneling and the radiation spectra of massive spin-1 particles from arbitrary dimensional Gauss–Bonnet–Axions (GBA) Anti-de Sitter (AdS) black branes, via using the WKB approximation to the Proca spin-1 field equation. The tunneling probabilities and Hawking temperature of the arbitrary dimensional GBA AdS black brane is calculated via the Hamilton–Jacobi approach. We also compute the Hawking temperature via the Parikh–Wilczek tunneling approach. The results obtained from the two methods are consistent. In our setup, the Gauss–Bonnet (GB) coupling affects the Hawking temperature if and only if the momentum of the axion fields is non-vanishing.