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- W3098970739 abstract "We analyze the quantum mechanical equivalence of the metrics of a centrally symmetric uncharged gravitational field. We consider the static Schwarzschild metric in spherical and isotropic coordinates, the stationary Eddington-Finkelstein and Painlev'e-Gullstrand metrics, and nonstationary Lema^itre-Finkelstein and Kruskal-Szekeres metrics. When the real radial functions of the Dirac equation and of the second-order equation in the Schwarzschild field are used, the domain of wave functions is restricted to the range $r>r_{0}$, where $r_{0}$ is the radius of the event horizon. A corresponding constraint also exists in other coordinates for all considered metrics. For the considered metrics, the second-order equations admit the existence of degenerate stationary bound states of fermions with zero energy. As a result, we prove that physically meaningful results for a quantum mechanical description of a particle interaction with a gravitational filed are independent of the choice of a solution for the centrally symmetric static gravitational field used." @default.
- W3098970739 created "2020-11-23" @default.
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- W3098970739 date "2019-03-01" @default.
- W3098970739 modified "2023-09-23" @default.
- W3098970739 title "Quantum Mechanical Equivalence of the Metrics of a Centrally Symmetric Gravitational Field" @default.
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- W3098970739 doi "https://doi.org/10.1134/s0040577919030073" @default.
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