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Scalar and spinor quasi normal modes of a 2D dilatonic blackhole

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External non-minimally coupled scalar and spinor field perturbations have been studied in a (1 + 1) dimensional dilatonic blackhole spacetime (Mandal et al. in Mod Phys Lett A 6:1685–1692. https://doi.org/10.1142/S0217732391001822, 1991; Witten in Phys Rev D 44:314–324. https://doi.org/10.1103/PhysRevD.44.314, 1991). Exact analytical expressions of the quasi-normal mode frequencies have been found for both the cases. In the scalar perturbations the quasi-normal mode frequencies turn out to be purely imaginary and negative. Furthermore we have found that the quasi-normal frequencies for Dirac field exhibit both real and imaginary part. The QNM frequencies decay monotonically with the overtone number under certain class of the blackhole parameters. The decay profile ensures the stability of the blackhole spacetime under these perturbations.

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Acknowledgements

P. Gayen acknowledges the University Grants Commission (UGC), India for providing financial support through a fellowship with ID: 191620137660.

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  1. Department of Physics, Presidency University, 86/1 College Street, Kolkata, West Bengal, 700073, India

    Pabitra Gayen & Ratna Koley

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  1. Pabitra Gayen
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The authors contributed equally to this work. In the manuscript P.G. included the equations, figures, tables and wrote the first draft. R.K. modified and structured the texts in the manuscript. Both authors have checked and approved the manuscript.

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Correspondence to Ratna Koley.

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Gayen, P., Koley, R. Scalar and spinor quasi normal modes of a 2D dilatonic blackhole. Gen Relativ Gravit 55, 129 (2023). https://doi.org/10.1007/s10714-023-03178-5

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