Klein-Gordon and Schr\"{o}dinger solutions in Lovelock quantum gravity
General Relativity and Quantum Cosmology
2024-11-05 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2411.00926,
title = {Klein-Gordon and Schr\"{o}dinger solutions in Lovelock quantum gravity},
author = {M. Bousder and A. Riadsolh and A. El Fatimy and M. El Belkacemi and H. Ez-Zahraouy},
journal= {arXiv preprint arXiv:2411.00926},
year = {2024}
}
Comments
20 pages, 5 figures