https://doi.org/10.1140/epjc/s10052-024-13580-1
Regular Article
Scattering effects of bumblebee gravity in metric-affine formalism
1
Faculty of Physics, Shahrood University of Technology, Shahrood, Iran
2
Faculdade de Física, Campus Salinópolis, Universidade Federal do Pará, 68721-000, Salinópolis, Pará, Brazil
3
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil
4
Department of Physics, University of Hradec Králové, Rokitanského 62, 500 03, Hradec Králové, Czechia
Received:
31
August
2024
Accepted:
5
November
2024
Published online:
25
November
2024
In this work, we explore a Schwarzschild-like black hole within the framework of metric-affine bumblebee gravity. First, we investigate the behavior of the Kretschmann scalar and singularities in this modified gravity approach. Next, we introduce a newly defined time coordinate related to a stationary asymptotically flat spacetime. We also analyze the scattering effects and numerically calculate and comprehensively examine the partial and total absorption cross sections. At the high-frequency approximation, we find that the absorption cross section tends to the geodesic capture cross section. The continued fraction method is applied to investigate the quasinormal modes, and we explore the deviations of both the real and imaginary terms of the quasinormal modes from the Schwarzschild case in detail. We verify the relation between the shadow radius and the real part of the quasinormal frequencies at the eikonal limit within this modified gravity framework. Finally, we examine the energy emission rate.
© The Author(s) 2024
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Funded by SCOAP3.
