Quasinormal modes of gravitational perturbation for uniformly accelerated black holes
arxiv(2024)
摘要
We first show that the master equations for massless perturbations of
accelerating rotating black holes can be transformed into the Heun's equation.
The quasinormal modes of the black holes can be easily calculated in the
framework of the Heun's equation. We identify three modes for the tensor
perturbations: the photon sphere modes, which reduce to the quasinormal modes
of Kerr black holes when the acceleration parameter vanishes; the near-extremal
modes, which branch from the first set and become dominant when the spin is
near extremal; and the acceleration modes, which are closely related to the
acceleration horizon. We calculate the frequency spectrum of the QNMs in
various spin and acceleration parameters. We choose an angular boundary
condition that keeps the angular function regular at θ = 0 and π,
which is consistent with the boundary condition of the Kerr black hole. The
conical singularity caused by the acceleration influences this boundary
condition. We find that the m_0 = 1 modes have an anomalous behavior at
particular accelerations.
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