Akademik Veri Yönetim Sistemi
TFD 40, Muğla, Türkiye, 2 Eylül - 06 Aralık 2024, (Yayınlanmadı)
Abstract. f(R) gravity which was developed to address issues such as dark energy, cosmic acceleration, and to provide alternative explanations for gravitational phenomena without requiring exotic forms of matter is one of the simplest and most consistent modifications of general relativity. In this presentation the hidden symmetries which play a pivotal role in enhancing the understanding of black hole geometry within the framework of f(R) gravity theory are explored. The primary focus is on the Kerr-Newman metric. It is shown that the rotating spacetimes derived in this framework allow for the separability of the Hamilton-Jacobi equation governing geodesics. The metric tensor is then derived, highlighting the geometric properties inherent in Kerr-Newman black holes. Finally, both the Killing tensor and the Killing-Yano tensor, which signify the hidden symmetries present in the system are constructed.