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arXiv · 2510.14707

Toward a unified view of agnostic parametrizations for deformed black holes

Manuel Del Piano·Ciro De Simone·Mattia Damia Paciarini·Vittorio De Falco·Mikołaj Myszkowski·Francesco Sannino·Vania Vellucci
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Abstract

A variety of robust and effective descriptions have been devised to extract model-independent information about the fundamental properties of black holes from observational data when searching for deviations from general relativity. In this work, we construct explicit transformation maps establishing the equivalence among three relevant parametrizations for different spacetime patches: Johannsen-Psaltis, Rezzolla-Zhidenko, and Effective Metric Description. We then select representative black hole geometries to determine the minimal number of parameters required within each scheme to reproduce the associated quasi-normal mode spectra with a prescribed degree of accuracy. Our analysis shows that, for the given observables, a finite set of coefficients suffices to attain the desired precision in the three frameworks. Finally, we emphasize how the individual strengths of these effective descriptions can be exploited to probe complementary aspects of black hole physics.

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Manuel Del Piano, Ciro De Simone, Mattia Damia Paciarini, Vittorio De Falco, Mikołaj Myszkowski, Francesco Sannino, Vania Vellucci. 2025-10-16. Toward a unified view of agnostic parametrizations for deformed black holes. https://arxiv.org/abs/2510.14707

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