Approximative analytical solutions of the Dirac equation in Schwarzschild spacetime
Ion I Cot\u{a}escu
TL;DR
This paper derives approximate analytical solutions to the Dirac equation in Schwarzschild spacetime, revealing discrete energy levels and the asymptotic behavior of eigenspinors near black holes.
Contribution
It provides new approximate solutions for the Dirac equation in Schwarzschild geometry, enhancing understanding of fermionic behavior in curved spacetime.
Findings
Discrete energy levels identified for fermions near black holes
Asymptotic behavior of energy eigenspinors characterized
Analytic solutions approximate numerical results
Abstract
Approximative analytic solutions of the Dirac equation in the geometry of Schwarzschild black holes are derived obtaining information about the discrete energy levels and the asymptotic behavior of the energy eigenspinors.
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