In this paper, we investigate quasinormal modes of scalar and electromagnetic
fields in the background of Einstein–scalar–Gauss–Bonnet (EsGB) black holes.
Using the scalar and electromagnetic field equations in the vicinity of the
EsGB black hole, we study nature of the effective potentials. The dependence of
real and imaginary parts of the fundamental quasinormal modes on parameter $p$
(which is related to the Gauss–Bonnet coupling parameter $alpha$) for
different values of multipole numbers $l$ are studied. We analyzed the effects
of massive scalar fields on the EsGB black hole, which tells us the existence
of quasi–resonances. In the eikonal regime, we find the analytical expression
for the quasinormal frequency and show that the correspondence between the
eikonal quasinormal modes and null geodesics is valid in the EsGB theory for
the test fields. Finally, we study grey-body factors of the electromagnetic
fields for different multipole numbers $l$, which deviates from Schwarzschild’s
black hole.
Conclusion:
- The paper investigated the quasinormal modes of scalar and electromagnetic fields in the background of Einstein-scalar-Gauss-Bonnet (EsGB) black holes.
- The study analyzed the effects of massive scalar fields on the EsGB black hole, revealing the existence of quasi-resonances.
- In the eikonal regime, an analytical expression for the quasinormal frequency was derived, showing the validity of the correspondence between eikonal quasinormal modes and null geodesics in the EsGB theory for test fields.
- The grey-body factors of the electromagnetic fields for different multipole numbers deviated from Schwarzschild’s black hole.
Future Roadmap
Potential Challenges:
- Further investigation is needed to explore the nature of the effective potentials for both scalar and electromagnetic fields in the vicinity of EsGB black holes.
- The dependence of the real and imaginary parts of the fundamental quasinormal modes on the parameter p (related to the Gauss-Bonnet coupling parameter α) should be further studied for a wider range of multipole numbers l.
- More research is required to fully understand the effects of massive scalar fields on the EsGB black hole and its implications for quasi-resonances.
- Validation and verification of the analytical expression for the quasinormal frequency in the eikonal regime using experimental or observational data is necessary to establish its practicality.
- Further exploration is needed to understand the deviation of grey-body factors of electromagnetic fields in EsGB black holes compared to Schwarzschild’s black hole, and its potential implications.
Opportunities on the Horizon:
- This research opens up opportunities for studying complex physics phenomena in EsGB black holes and their implications for the nature of gravitational waves and singularities.
- In-depth understanding of the effects of massive scalar fields on EsGB black holes and the existence of quasi-resonances can contribute to advancements in theoretical physics and astrophysics.
- The analytical expression for the quasinormal frequency in the eikonal regime and its validation could provide a valuable tool for future research in black hole physics.
- The exploration of deviations in grey-body factors of electromagnetic fields in EsGB black holes can lead to new insights into the behavior of matter and radiation near these exotic objects.
Overall, this research paves the way for further investigation into the properties and behaviors of EsGB black holes, presenting both challenges and opportunities for advancements in theoretical physics and astrophysics.