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

Vittorio De Falco; Francesco Bajardi; Rocco D’Agostino; Micol Benetti; Salvatore Capozziello

doi:10.1140/epjc/s10052-023-11601-z

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 456
https://doi.org/10.1140/epjc/s10052-023-11601-z

Regular Article - Theoretical Physics

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

Vittorio De Falco¹^,2^a, Francesco Bajardi¹^,2, Rocco D’Agostino¹^,2, Micol Benetti¹^,2 and Salvatore Capozziello¹^,2^,3

¹ Scuola Superiore Meridionale, Largo San Marcellino 10, 80138, Napoli, Italy
² Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cintia Edificio 6, 80126, Napoli, Italy
³ Dipartimento di Fisica “E. Pancini”, Universitá di Napoli “Federico II”, Complesso Universitario di Monte S. Angelo, Via Cinthia Edificio 6, 80126, Napoli, Italy

^a v.defalco@ssmeridionale.it

Received: 4 January 2023
Accepted: 8 May 2023
Published online: 1 June 2023

Abstract

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.

© The Author(s) 2023

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