Quasinormal modes of Schwarzschild-like black hole surrounded by the pseudo-isothermal dark matter halo
The merger of binary black holes produces a series of decaying oscillations, during which energy is radiated in gravitational waves. The characteristic signal in the ringdown phase can be described by complex oscillation frequencies called quasinormal modes (QNMs). In this paper, we investigate the...
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Zusammenfassung: | The merger of binary black holes produces a series of decaying oscillations,
during which energy is radiated in gravitational waves. The characteristic
signal in the ringdown phase can be described by complex oscillation
frequencies called quasinormal modes (QNMs). In this paper, we investigate the
ringdown spectrum resulting from scalar field perturbations of black holes
surrounded by pseudo-isothermal dark matter halos. The complex frequencies of
these quasinormal modes are numerically computed using the sixth-order WKB
approximation. Additionally, the time evolution of the scalar perturbations is
examined using the finite difference method, considering various multipole
numbers and dark matter halo parameters. For a static, spherically symmetric
black hole, the photon sphere--composed of circular null geodesics--plays a
crucial role in analyzing the black hole shadow. Furthermore, the connection
between the black hole shadow and QNMs is explored in the eikonal limit. |
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DOI: | 10.48550/arxiv.2409.20333 |