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In the void it devours stars, A force so powerful it warps space, A singularity that leaves no scars, A black hole, a cosmic abyss without a trace. 1 Drag the graph to change your viewing angle!
Penrose’s singularity theorem. Penrose proved that singularities – and by extension black holes – form generically in general relativity, without stringent symmetry assumptions and for general properties of the matter. Penrose’s key insight was to focus on how the gravitational force affects light.
For example, the metric of ordinary polar coordinates in a Euclidean plane has gθθ → ∞ as r → 0. One way to test whether a singularity is a coordinate singularity is to calculate a scalar measure of curvature, whose value is independent of the coordinate system.
Singularities. In the center of a black hole is a gravitational singularity, a one- dimensional point which contains a huge mass in an infinitely small space, where density and gravity become infinite and space-time curves infinitely, and where the laws of physics as we know them cease to operate.
Penrose diagrams are frequently used to illustrate the causal structure of spacetimes containing black holes. Singularities in the Schwarzschild solution are denoted by a spacelike boundary, unlike the timelike boundary found on conventional spacetime diagrams.
Let a hydrogen atom fall into a black hole. We’ve lost a lepton and a baryon, but if we want to preserve conservation of lepton number and baryon number, we cover this up with a fig leaf by saying that the black hole has simply increased its lepton number and baryon number by +1 each.
20 Ιουλ 2015 · A coordinate singularity is a place where the coordinate system becomes singular. A good example of this is a black hole event horizon. A curvature singularity is a place where the spacetime curvature becomes infinite and/or the geometry is undefined. Examples of this are the centre of a black hole or the Big Bang.
