Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity
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Date
2024-09-01
Authors
Bousder, Mostafa
Riadsolh, A.
El Fatimy, Abdelouahad
El Belkacemi, M.
Ez-Zahraouy, Hamin
ORCID
0000-0001-6500-7762Advisor
Referee
Mark
Journal Title
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Volume Title
Publisher
Elsevier
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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 Schrödinger equation, with one solution highlighting the influence of the Airy solution on the wave function's evolution over time.
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Citation
NUCLEAR PHYSICS B. 2024, vol. 1006, issue 9, p. 1-11.
https://www.sciencedirect.com/science/article/pii/S0550321324001962
https://www.sciencedirect.com/science/article/pii/S0550321324001962
Document type
Peer-reviewed
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Published version
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Language of document
en
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Defence
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
http://creativecommons.org/licenses/by-nc-nd/4.0/