Can special relativity describe all the types of gravity of general relativity? The case study of spherical symmetry

This paper shows that contrarily to the common perception, the gravity of General Relativity (GR) can produce the gravity of Special Relativity (SR) and vice-versa. This is done via the time dilation that originates from the metric of GR in order to obtain the corresponding SR Lagrangian. The reverse procedure is also achievable and it is presented here as well. Thus, the Newtonian Gravitational Potential according to SR leads to the corresponding non-Riemannian metric of GR. In fact, the SR gravity can be extended to any kind of GR spacetime metric (including the non-Riemannian spacetimes with Finsler geometry) rather than the simple description of Einstein field equations of Riemannian GR. The Case Study of gravity with Spherical Symmetry is analytically presented. This is applied to repulsive / black holes according to Schwarzschild metric and Teleparallel gravity and also to wormholes. Finally, we prove that there exist gravitational fields where the particles have superluminal speeds according to GR and SR.