Figure 3

Figure 3: This figure shows a number of light cones and future-pointing outgoing null geodesics in a neighborhood of the event horizon in Schwarzschild spacetime, plotted in ingoing Eddington–Finkelstein coordinates (t,r). (These coordinates are defined by the conditions that t+ r is an ingoing null coordinate, while r is an areal radial coordinate.) Note that for clarity the horizontal scale is expanded relative to the vertical scale, so the light cones open by more than ±45 ∘. All the geodesics start out close together near the event horizon; they diverge away from each other exponentially in time (here with an e-folding time of 4 m near the horizon). Equivalently, they converge towards each other if integrated backwards in time (downwards on the page).