https://doi.org/10.1140/epjp/s13360-025-07060-y
Regular Article
Field perturbations and observables in a charged black hole within bumblebee gravity
1
Department of Mathematics, Manipur University, 795003, Canchipur, Manipur, India
2
Department of Physics, Moran College, 785670, Moranhat, Assam, India
3
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Street, AZ1096, Baku, Azerbaijan
a
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Received:
21
August
2025
Accepted:
11
November
2025
Published online:
20
November
2025
Abstract
This paper investigates the effects of Lorentz symmetry breaking (LSB) on the black hole (BH) observables, including greybody factors (GFs), quasinormal mode (QNM) frequencies, and shadow properties of Reissner–Nordström–de Sitter (RNdS) and Reissner–Nordström–(anti-) de Sitter (RNAdS)-like BHs formulated within the Einstein–bumblebee gravity model. We explore the dynamics of the scalar, Dirac, and electromagnetic (EM) field perturbations and analyse the behaviour of the effective potentials. The GF using rigorous bound technique and the QNMs applying 6th-order WKB and Padé approximations associated with these fields are investigated. Further, we perform the time-domain analysis of all perturbations to study the evolution of the perturbations. The GF is observed to rise with higher values of Lorentz violation parameter L indicating greater particle emission rates, whereas the increase in the BH charge Q lowers the emission rates. Our results show that the oscillation frequency and the damping rate of the gravitational waves tend to increase as L increases and Q has the opposite impact. The black hole shadow size decreases as L increases, highlighting a potential observational signature of LSB in strong gravitational fields.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
