Exploring departures from Schwarzschild black hole in f(R) gravity

Different astrophysical methods can be combined to detect possible deviations from General Relativity. In this work, we consider a class of f(R) gravity models selected by the existence of Noether symmetries. In this framework, it is possible to determine a set of static and spherically symmetric black hole solutions, encompassing small departures from the Schwarzschild geometry. In particular, when gravity is the only dominating interaction, we exploit the ray-tracing technique to reconstruct the image of a black hole, the epicyclic frequencies, and the black hole shadow profile. Moreover, when matter dynamics is also affected by an electromagnetic radiation force, we take into account the general relativistic Poynting-Robertson effect. In light of the obtained results, the proposed strategy results to be robust and efficient: on the one hand, it allows to investigate gravity from strong to weak field regimes; on the other hand, it is capable of detecting small departures from General Relativity, depending on the current observational sensitivity.

Automated summary

Various astrophysical methods are used to detect possible deviations from General Relativity in this work. A class of f(R) gravity models, selected by the existence of Noether symmetries, is considered. The study determines static and spherically symmetric black hole solutions that encompass small departures from the Schwarzschild geometry. The proposed strategy of using ray-tracing technique and considering the Poynting-Robertson effect proves to be robust and efficient in investigating gravity and detecting small deviations from General Relativity.