| Name: Yuvasri G |
| Affiliation: Indian Institute of Astrophysics |
| Conference ID: ASI2026_364 |
| Title: Spectral (In)stability of Black Hole Quasi-normal Modes in Perturbed Spacetimes |
| Abstract Type: Poster |
| Abstract Category: High Energy Phenomena, Fundamental Physics and Astronomy |
| Author(s) and Co-Author(s) with Affiliation: Yuvasri G(Indian Institute of Astrophysics, Bangalore - 560034, India), Sanved Kolekar(Indian Institute of Astrophysics, Bangalore - 560034, India) |
| Abstract: Gravitational waves emitted during black hole coalescence are described in three phases - inspiral, merger and ringdown. During the ringdown phase, the remnant black hole behaves like a damped oscillator and emits gravitational radiation characterized by complex frequencies known as Quasi-normal Modes (QNMs). Since QNMs depend purely on the intrinsic properties of the black hole such as mass, spin and charge, they serve as black hole footprints. Extracting and analyzing these frequencies to infer black hole parameters is referred as Black Hole Spectroscopy (BHS). The sensitivity of Laser Interferometer Space Antenna (LISA) is expected to strongly support such studies.
In realistic astrophysical scenarios, black holes reside in galactic centers and are influenced by surrounding environments like dark matter distributions. These environmental effects can be modeled by introducing perturbative features, such as bumps, in the effective potential, which may induce spectral (in)stability in the QNM spectrum. However, analyzing such spectral behavior is numerically challenging. In this work, we investigate the QNM spectrum of parametrized spherically symmetric spacetimes in the presence of environmental perturbations. We employ spectral methods based on Chebyshev polynomials to compute both fundamental mode and higher overtones and subsequently use pseudospectrum analysis to assess spectral (in)stability. We aim to systematically study how the modes migrate as the parameters of perturbative feature are varied.
Additionally, we analyze the corresponding time domain characteristics of the system in the presence of environmental features. By combining frequency domain and time domain analyses, we aim to gain deeper insight into the role of the surrounding environment in shaping the QNM spectrum of black hole systems.
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