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A critical appraisal of the singularity theorems

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arxiv 2108.07296 v1 pith:5VROHNZP submitted 2021-08-16 gr-qc hep-thmath-phmath.MP

classification gr-qchep-thmath-phmath.MP
keywords theoremssingularityparticularsomeanalyzedappraisalbehindblack
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The 2020 Nobel prize in Physics has revived the interest in the singularity theorems and, in particular, in the Penrose theorem published in 1965. In this short paper I briefly review the main ideas behind the theorems and then proceed to an evaluation of their hypotheses and implications. I will try to dispel some common misconceptions about the theorems and their conclusions, as well as to convey some of their rarely mentioned consequences. In particular, a discussion of spacetime extensions in relation to the theorems is provided. The nature of the singularity inside black holes is also analyzed.

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  1. Radiative properties of a nonsingular black hole: Hawking radiation and gray-body factor

    gr-qc 2025-04 conditional novelty 6.0 of 10

    A singularity-free black hole radiates more coldly and more like a perfect black body than Schwarzschild does, and, on one assumption about its parameters, it ends as a zero-temperature remnant instead of evaporating.

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