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arXiv · 2411.00926

Klein-Gordon and Schr\"{o}dinger solutions in Lovelock quantum gravity

M. Bousder·A. Riadsolh·A. El Fatimy·M. El Belkacemi·H. Ez-Zahraouy
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Abstract

This study investigates the application of wave functions to explore various solutions of the Klein-Gordon and Schr\"{o}dinger 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% \"{o}dinger equation, with one solution highlighting the influence of the Airy solution on the wave function's evolution over time.

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M. Bousder, A. Riadsolh, A. El Fatimy, M. El Belkacemi, H. Ez-Zahraouy. 2024-11-01. Klein-Gordon and Schr\"{o}dinger solutions in Lovelock quantum gravity. https://doi.org/10.1016/j.nuclphysb.2024.116630

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