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Quasinormal modes of Dirac field in the background of a non-Schwarzschildblack holes in theories with higher curvature corrections are investigated inthis paper. With the help of the semi-analytic WKB approximation and furtherusing of Pad\'e approximants as prescribed in [1] we consider quasinormal modesof a test massless Dirac field in the Einstein-dilaton-Gauss-Bonnet (EdGB) andEinstein-Weyl (EW) theories. Even though the effective potential for one of thechiralities has a negative gap we show that the Dirac field is stable in boththeories. We find the dependence of the modes on the new dimensionlessparameter $p$ (related to the coupling constant in each theory) for differentvalues of the angular parameter $\ell$ and show that the frequencies tend tolinear dependence on $p$. The allowed deviations of qausinormal modes fromtheir Schwarzschild limit are one order larger for the Einstein-Weyl theorythan for the Einstein-dilaton-Gauss-Bonnet one, achieving the order of tens ofpercents. In addition, we test the Hod conjecture which suggests the upperbound for the imaginary part of the frequency of the longest lived quasinormalmodes by the Hawking temperature multiplied by a factor. We show that in bothnon-Schwarzschild metrics the Dirac field obeys the above conjecture for thewhole range of black-hole parameters.

Quasinormal modes of Dirac field in the Einstein-dilaton-Gauss-Bonnet and Einstein-Weyl gravities