Abstract In this thesis, we develop the 1 + 1 + 2 formalism, a technique originally devised for General Relativity, to treat spherically symmetric spacetimes in for fourth order theories of gravity. Using this formalism, we derive equations for a static and spherically symmetric spacetime for general f(R) gravity. We apply these master eqautions to derive some exact solutions, which are used to gain insight on Birkhoff's theorem in this framework. Additionally, we derive a covariant form of the lensing angle for a specific spherically symmetric solution in f(R) = Rn gravity. Keywords: f(R) gravity, spherically symmetric solutions, Birkhoff's theorem, deflection angle
Africa, P. & N, A (2021). 1+1+2 Covariant Approach To Gravitational Lensing In F(R) Gravity. Afribary. Retrieved from https://track.afribary.com/works/1-1-2-covariant-approach-to-gravitational-lensing-in-f-r-gravity
Africa, PSN, and Anne N "1+1+2 Covariant Approach To Gravitational Lensing In F(R) Gravity" Afribary. Afribary, 19 Apr. 2021, https://track.afribary.com/works/1-1-2-covariant-approach-to-gravitational-lensing-in-f-r-gravity. Accessed 23 Nov. 2024.
Africa, PSN, and Anne N . "1+1+2 Covariant Approach To Gravitational Lensing In F(R) Gravity". Afribary, Afribary, 19 Apr. 2021. Web. 23 Nov. 2024. < https://track.afribary.com/works/1-1-2-covariant-approach-to-gravitational-lensing-in-f-r-gravity >.
Africa, PSN and N, Anne . "1+1+2 Covariant Approach To Gravitational Lensing In F(R) Gravity" Afribary (2021). Accessed November 23, 2024. https://track.afribary.com/works/1-1-2-covariant-approach-to-gravitational-lensing-in-f-r-gravity