Ringdown of a black hole embedded in a Burkert dark matter halo
Yi Yang, Gaetano Lambiase, Ali Ovgun, Dong Liu, Zheng-Wen Long

TL;DR
This paper models a black hole within a Burkert dark matter halo, analyzing how the halo's properties affect black hole ringdown signals and providing benchmarks for gravitational wave tests of dark matter environments.
Contribution
It introduces a new static black hole solution embedded in a Burkert dark matter halo and studies its quasinormal modes using multiple computational methods.
Findings
Increasing halo core radius or density shifts frequencies upward and increases damping.
Multipole index primarily affects oscillation frequency with mild impact on decay.
High agreement between different frequency extraction methods.
Abstract
We construct a new static, spherically symmetric black hole spacetime embedded in a dark matter halo whose density follows the cored Burkert profile. Starting from the halo-only geometry determined by the rotation curve relation, we solve the Einstein equations with the Burkert stress-energy and enforce a Schwarzschild boundary condition, obtaining closed form metric functions in which the halo contribution deforms the redshift or shape functions and reduces to the Schwarzschild limit when the halo parameters vanish. On this background we study linear perturbations of test fields with spins and compute their quasinormal spectra using both a high order WKB scheme and continued fraction method, complemented by time domain evolutions. We find that increasing either the Burkert core radius or the central density generically shifts the real part of the frequencies…
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Taxonomy
TopicsAstrophysical Phenomena and Observations · Pulsars and Gravitational Waves Research · Cosmology and Gravitation Theories
