Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913570336276480 |
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| author | Bousder, M. Riadsolh, A. Fatimy, A. El Belkacemi, M. El Ez-Zahraouy, H. |
| author_facet | Bousder, M. Riadsolh, A. Fatimy, A. El Belkacemi, M. El Ez-Zahraouy, H. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00926 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity Bousder, M. Riadsolh, A. Fatimy, A. El Belkacemi, M. El Ez-Zahraouy, H. General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.00926 |