Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity
arXiv:2411.00926 · doi:10.1016/j.nuclphysb.2024.116630
Abstract
This study investigates the application of wave functions to explore various solutions of the Klein-Gordon and Schrödinger equations within the framework of Lovelock gravity. We also present the derived Smarr formula from the topological density. The Klein-Gordon solution leads to the Wheeler-de Witt Hamiltonian and quasinormal modes, and we demonstrate the connection between the potential and the black hole temperature within the Schwarzschild limit. Additionally, we discuss different solutions of the Schr% ödinger equation, with one solution highlighting the influence of the Airy solution on the wave function's evolution over time.
20 pages, 5 figures