Akademik Veri Yönetim Sistemi
TFD 38, Muğla, Türkiye, 5 - 09 Eylül 2022, ss.118-121, (Tam Metin Bildiri)
Among the existing gravitational theories, the general theory of relativity (GRT) is accepted as the most successful theory in terms of the theoretical and experimental consistency of the results it presents. In addition, the direct observation of gravitational waves with LIGO (Laser Interferometric Gravitational Wave Observatory) detectors and the first obtaining of the image of the black hole in the center of the M87 galaxy with the EHT (Event Horizon Telescope) have increased the interest in gravity theories. The results of some observations made in recent years have made the development of some alternative theories to the general theory of relativity an interesting field. Within the scope of these developments, the examination of the physical properties of black holes within the scope of the theory called f(R) theory of gravity and which is one of the simplest and most consistent modifications of general relativity attracts great attention. In this paper, the separability properties of the variables in the Hamilton-Jacobi equation in the space-time will be examined. Then, some observable effects of rotating black holes in f(R) gravity theory will be examined in terms of geodesic motion of test particles for Kerr-Newman de Sitter (Anti de Sitter) space time. Finally, it will be shown that the Killing tensor, which represents the conserved properties of the space-time resulting from its symmetries, satisfies the Killing equation.