Klein-Gordon and Schr\"odinger solutions in Lovelock quantum gravity
Abstract
This study investigates the application of wave functions to explore various solutions of the Klein-Gordon and Schr\"odinger 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% \"odinger equation, with one solution highlighting the influence of the Airy solution on the wave function's evolution over time.
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