Late time decay of scalar and Dirac fields around an asymptotically de Sitter black hole in the Euler-Heisenberg electrodynamics

S. V. Bolokhov

doi:10.1140/epjc/s10052-024-12990-5

paper

Late time decay of scalar and Dirac fields around an asymptotically de Sitter black hole in the Euler-Heisenberg electrodynamics

arXiv:2404.09364 · doi:10.1140/epjc/s10052-024-12990-5

Abstract

We compute the quasinormal modes of massive scalar and Dirac fields within the framework of asymptotically de Sitter black holes in Euler-Heisenberg non-linear electrodynamics. We pay particular attention to the regime $μ M / m_{P}^{2} ≫ 1$ , where $μ$ and $M$ denote the masses of the field and the black hole, respectively, and $m_{P}$ represents the Planck mass, covering a range from primordial to large astrophysical black holes. Through time-domain integration, we demonstrate that, contrary to the asymptotically flat case, the quasinormal modes also dictate the asymptotic decay of fields. Employing the 6th order WKB formula, we derive a precise analytic approximation for quasinormal modes in the regime $μ M / m_{P}^{2} ≫ 1$ without resorting to expansion in terms of the inverse multipole number. This analytic expression takes on a concise form in the limit of linear electrodynamics, represented by the Reissner-Nordström black holes.

12 pages, 8 figures

Late time decay of scalar and Dirac fields around an asymptotically de Sitter black hole in the Euler-Heisenberg electrodynamics

Abstract

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