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The end of spacetime. The mathematical equations governing general relativity allow for solutions where matter is so densely packed into a small region of spacetime that nothing, not even light, can escape from this region, called a black hole. The black hole is separated from the rest of spacetime by an event horizon, a point of no return.
The goal of these lectures is to provide an introduction to global properties of General Relativity. We want to understand, for example. why formation of a singularity is inevitable once a trapped surface forms. why the area of a classical black hole can only increase.
of self-gravitating dust (fluid with no pressure) was unstoppable leading to what we call today a black hole: a region of spacetime fully disconnected from its outside by a one-directional null hypersurface called the
29 Ιουν 2009 · Black holes are regions of spacetime from which nothing, not even light, can escape. A typical black hole is the result of the gravitational force becoming so strong that one would have to travel faster than light to escape its pull.
The Penrose singularity theorem is a theorem in semi-Riemannian geometry and its general relativistic interpretation predicts a gravitational singularity in black hole formation. The Hawking singularity theorem is based on the Penrose theorem and it is interpreted as a gravitational singularity in the Big Bang situation.
How humans are changing the night sky. But within such a singularity, the known laws of physics — including Einstein’s own theory of relativity that predicted it — would no longer apply....
14 Μαρ 2022 · A conformal diagram of an approximately spherical space–time representing the gravitational collapse of a self-gravitating body (the red region) to form a black hole. As usual, radial null rays are at 45 ∘ and future goes upwards.
