The terms "Schwarzschild Radius" and "Event Horizon" are not interchangeable; the Schwarzschild Radius defines the radius of the event horizon for a non-rotating black hole. The event horizon is a surface that marks the boundary beyond which nothing can escape the gravitational pull of the black hole, while the Schwarzschild Radius is a specific radial coordinate in Schwarzschild coordinates. The event horizon is a 2D spherical surface at the Schwarzschild Radius, but the geometry is non-Euclidean, complicating the notion of volume. Understanding these distinctions is crucial for accurately discussing black hole physics.
PREREQUISITESAstronomy students, physicists, and anyone interested in understanding the complexities of black hole mechanics and general relativity.
Yes. Every point on the Kruskal chart represents a spacelike 2-sphere.cianfa72 said:as spacelike 2-surface it actually represents '2-sphere space' at Kruskal coordinate time ##T_0## and ##X=T_0## (i.e. the subset of events simultaneous in KS coordinate chart having ##X=T=T_0##), I believe.