|Abstract: Like many physical objects, under small perturbations, black holes possess the property of vibrating at discrete characteristic frequencies (known as QNM frequencies). They are complex and depend on the type of the black hole and the boundary conditions imposed on the perturbation.
As we anticipate "hearing" these frequencies through new experiments more distinctly, it becomes essential to understand their mathematical structure better or, in other words, learn the "language" of black holes. Of course, there is no single "language" for many different regimes where the perturbations are studied. In this talk, we will present one language that covers a wide range of regimes for four-dimensional Schwarzschild black holes in three different backgrounds (flat, dS, and AdS).
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