First-order GUP thermodynamics correction in quantum-corrected Kazakov–Solodukhin black holes

The spherically symmetric spacetime of a Kazakov–Solodukhin black hole is a deformation that occurs in the Schwarzschild spacetime due to quantum-gravity modifications. This solution was obtained nonperturbatively to consider nonspherical formations. We use semi-classical methodology that uses Lagrangian Generalized Uncertainty Principle (GUP)-corrected equation and WKB-approximation to get corrected tunneling radiation, and also apply Boltzmann factor to Hawking GUP-corrected temperature. We investigate the Hawking radiation intensity and the GUP behaviours of quantum-corrected black holes. The study found that while the quantum spacetime geometry and classical properties of black holes, such as the fundamental tunneling radiation, entropy, and emission energy, are changed due to the correction term, the Hawking GUP-corrected radiation is significantly modified due to larger quantum gravity, and the thermodynamics of black holes is also affected. The GUP effect becomes significant at the stability of black hole thermodynamics.