On exact massless spinor quasibound states of Schwarzschild black hole
Аннотация
In the paper (D. Senjaya, Phys. Lett. B 854 (2024) 138714, [1] ), the author investigated the massless spinor field in the Schwarzschild spacetime and derived an analytical solution expressed in terms of the Heun function. However, based on this approach, an incorrect expression for the solution to the Dirac equation was derived, leading to an erroneous result. Subsequently, in the comment paper (R.R.S. Oliveira, Phys. Lett. B 856 (2024) 138888, [2] ), it was explicitly pointed out that the Fock-Ivanenko coefficients had been overlooked, and a correct derivation of the Dirac equation in Schwarzschild spacetime was provided. In this note, we have demonstrated that the explicit form of the Dirac equation in both the original and comment papers is the same. Furthermore, we have shown that obtaining an analytical solution to the Dirac equation in Schwarzschild spacetime is not possible.