https://doi.org/10.1140/epjc/s10052-024-12968-3
Regular Article - Theoretical Physics
Tachyonic instability and spontaneous scalarization in parameterized Schwarzschild-like black holes
1
Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology, 310032, Hangzhou, China
2
United Center for Gravitational Wave Physics, Zhejiang University of Technology, 310032, Hangzhou, China
Received:
16
April
2024
Accepted:
29
May
2024
Published online:
19
June
2024
We study the phenomenon of spontaneous scalarization in parameterized Schwarzschild-like black holes. Two metrics are considered, the Konoplya–Zhidenko metric and the Johannsen–Psaltis metric. While these metrics can mimic the Schwarzschild black hole well in the weak-field regime, they have deformed geometries in the near-horizon strong-field region. Such deformations notably influence the emergence of tachyonic instability and subsequent spontaneous scalarization, enabling a clear distinction between these parameterized metrics and the standard Schwarzschild metric. These results suggest a possible way to test the parameterized black holes and thus the Kerr hypothesis by observing the phenomenon of spontaneous scalarization.
© The Author(s) 2024
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