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The Kruskal–Szekeres coordinates also apply to space-time around a spherical object, but in that case do not give a description of space-time inside the radius of the object. Space-time in a region where a star is collapsing into a black hole is approximated by the Kruskal–Szekeres coordinates (or by the Schwarzschild coordinates). The ...
Kruskal–Szekeres coordinates, a chart covering the entire spacetime manifold of the maximally extended Schwarzschild solution and are well-behaved everywhere outside the physical singularity, Eddington–Finkelstein coordinates , an alternative chart for static spherically symmetric spacetimes,
Penrose diagram of an infinite Minkowski universe, horizontal axis u, vertical axis v. In theoretical physics, a Penrose diagram (named after mathematical physicist Roger Penrose) is a two-dimensional diagram capturing the causal relations between different points in spacetime through a conformal treatment of infinity.
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The stereographic projection provides a coordinate system for the sphere in which conformal flatness is explicit, as the metric is proportional to the flat one. In general relativity conformally flat manifolds can often be used, for example to describe Friedmann–Lemaître–Robertson–Walker metric. [5]
It is a bit confusing that there are two variables 'r'—one from classic Schwarzschild metric, and one implicitly defined for the Kruskal-Szekeres line element. Perhaps they are the same. --NormHardy 20:12, 13 August 2006 (UTC) The two r are the same (unless I'm misunderstanding your question) — the Schwarzschild coordinate.
Kruskal–Szekeres coordinates Erdős–Szekeres theorem: Spouse: Esther Szekeres: Children: Peter · Judy: Awards: Thomas Ranken Lyle Medal (1968) Scientific career: Fields: Mathematician: Institutions: University of Adelaide University of New South Wales: Doctoral students: Alfred van der Poorten