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  1. 1. Dez. 2023 · The author challenges the claim that black holes must have singularities based on trapped surfaces and light rays of finite affine length. He presents counterexamples in the Kerr metric that do not end in singularities.

    • The End of Spacetime
    • Mathematical Artifact Or Physical Prediction
    • Penrose’s Singularity Theorem
    • The Nature of The Spacetime Singularity
    • The Big Bang Singularity and Quantum Gravity

    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. According to general relativi...

    This pathological nature of the singularity, the fact that space and time will cease to exist there, is extremely worrying for general relativity. However, until Penrose’s work, it was unclear whether black holes and singularities can even exist in nature or whether they are just a mathematical artifact of the theory. In fact, all black hole soluti...

    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. In general relativity, gravity exerts a force on light and causes it to deviate i...

    The power of Penrose’s argument rests in its minimal assumptions, which only require the existence of a trapped surface and the weak energy condition. As a result, the singularity theorem applies very broadly and shows that singularities arise in many situations in general relativity. However, because Penrose’s argument is so general, it also does ...

    Penrose’s singularity theorem spurred on many developments in general relativity. For example, together with Hawking, Penrose generalized his singularity theorem in order to apply it to the universe as a whole. As a result, they were able to show that our universe must itself contain a singularity deep in its past, from which all matter and energy ...

  2. 13. Sept. 2013 · Singularities are predicted to exist in black holes by Einstein's theory of general relativity, which is a theory that has done remarkably well at matching experimental results. The problem is that infinities never exist in the real world.

  3. 29. Juni 2009 · Black holes have different physically significant horizons apart from the event horizon (e.g., the so-called apparent horizon)—which horizon should one attribute entropy to? For statistical proofs, should one use the Gibbs or the Boltzmann entropy?

  4. Vor einem Tag · Black hole singularities defy the laws of physics. New research presents a bold solution to this puzzle: Black holes may actually be a theoretical type of star called a 'gravastar,' filled with ...