https://doi.org/10.1140/epjc/s10052-025-13877-9
Regular Article - Theoretical Physics
Accelerated black holes in (2 + 1) dimensions: quasinormal modes and stability
1
Universidade Federal do Rio Grande do Sul, Campus Tramandaí-RS, Estrada Tramandaí-Osório, 95590-000, Tramandaí, RS, Brazil
2
Departamento de Matematica da Universidade de Aveiro and Centre for Research and Development in Mathematics and Applications (CIDMA), Campus de Santiago, 3810-183, Aveiro, Portugal
3
Departamento de Física Aplicada, Universidad de Alicante, Campus de San Vicente del Raspeig, 03690, Alicante, Spain
Received:
7
November
2024
Accepted:
26
January
2025
Published online:
13
February
2025
We investigate the propagation of a scalar field in a 
-dimensional accelerated black hole, recently revisited in Arenas-Henriquez et al. (J High Energy Phys https://doi.org/10.1007/jhep05(2022)063, 2022). We briefly describe how the conformal configuration renders a trivial scalar perturbation with a rescaling of the field mass. On the contrary, the free scalar field propagation presents an intricate dynamic, whose equation may be reduced through the use of Israel junction conditions and a non-trivial ansatz. In this case, using two different methods we calculate the quasinormal modes of the solution also obtaining unstable field profiles delivered by the linear scalar perturbation to the background geometry. We examine the parameter space of angular eigenvalues of the field and accelerations under which such instabilities occur.
© The Author(s) 2025
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