Abstract Using the concept of parallel transport of vectors in curved manifolds, the Riemann curvature tensor in terms of Christoffel symbols is obtained. Making use of the Riemann curvature tensor’s symmetry properties, the Ricci curvature tensor and Einstein’s tensor are derived. Through Einstein’s tensor and the Poisson equation for Newtonian gravity, the Einstein field equations are introduced. Upon using Kerr metric (Kerr, 1963) as a solution for Einstein’s field equations, extraction of energy from a rotating black hole is proved. This is called the Penrose process (Penrose and Floyd, 1971).
Africa, P. & Ibrahim, D (2021). General Relativity and Penrose process. Afribary. Retrieved from https://afribary.com/works/general-relativity-and-penrose-process
Africa, PSN, and Derhham Ibrahim "General Relativity and Penrose process" Afribary. Afribary, 20 Apr. 2021, https://afribary.com/works/general-relativity-and-penrose-process. Accessed 16 Sep. 2024.
Africa, PSN, and Derhham Ibrahim . "General Relativity and Penrose process". Afribary, Afribary, 20 Apr. 2021. Web. 16 Sep. 2024. < https://afribary.com/works/general-relativity-and-penrose-process >.
Africa, PSN and Ibrahim, Derhham . "General Relativity and Penrose process" Afribary (2021). Accessed September 16, 2024. https://afribary.com/works/general-relativity-and-penrose-process