Analytical quasibound states of black holes emerging from modified theories of gravity
Issued Date
2023-12-07
Resource Type
ISSN
02177323
eISSN
17936632
Scopus ID
2-s2.0-85179792241
Journal Title
Modern Physics Letters A
Volume
38
Issue
36-37
Rights Holder(s)
SCOPUS
Bibliographic Citation
Modern Physics Letters A Vol.38 No.36-37 (2023)
Suggested Citation
Senjaya D. Analytical quasibound states of black holes emerging from modified theories of gravity. Modern Physics Letters A Vol.38 No.36-37 (2023). doi:10.1142/S0217732323501602 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/95894
Title
Analytical quasibound states of black holes emerging from modified theories of gravity
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Author's Affiliation
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Abstract
The Rayleigh-Schrodinger method or more commonly called time independent perturbation theory is a powerful method to solve a Hamiltonian system with a relatively small perturbation [W. Nolting, Theoretical Physics 7: Quantum Mechanics-Methods and Applications (Springer International, 2017); F. Schwabl, Quantum Mechanics, 4th edn. (Springer, 2007)]. In this work, we make use of the Rayleigh-Schrodinger method to formulate a general method to calculate quasibound states of static spherically symmetric black hole solutions arising from modified theories of gravity. We discover that the Schwarzschild-like term corresponds to the main Hamiltonian while the modified theory of gravity's contribution of the spacetime metric corresponds to the perturbation terms. At the end, formula to calculate main Hamiltonian and perturbed Hamiltonian are discovered and presented.