A proof of the cosmic censorship hypothesis

Astronomy and Astrophysics – Astronomy

Scientific paper

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Asymptotic Methods, Relativity, Singularity (Mathematics), Space-Time Functions, Astronomical Models, Black Holes (Astronomy), Einstein Equations, Theorem Proving

Scientific paper

Weakly asymptotically simple and empty spaces are considered in order to confirm the cosmic censor hypothesis (CCH), which states that singularities cannot influence space-time. It is assumed that in a physically acceptable space-time a system evolving from nonsingular initial data will not produce singularities which are visible from infinity. It is noted that any singularity in Schwarzschild space-time must be of the strong curvature type. A singularity is shown to be possible, even with nonsingular initial data, but it will not have strong curvature, and will therefore not be visible at infinity. However, the Einstein equations which contradict the CCH predict that singularities will be visible at infinity. Since it is demonstrated that they would not be visible, the CCH can be taken as valid.

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