Figure 11

Figure 11: Fermat geometry of the equatorial plane of the Schwarzschild spacetime, embedded as a surface of revolution into Euclidean 3-space. The neck is at r = 3m (i.e., ~r ~~ 1.87m), the boundary of the embeddable part at r = 2.25m (i.e., ~r = m). The geodesics of this surface of revolution give the light rays in the Schwarzschild spacetime. A similar figure can be found in [4] (also cf. [160]).