Weak cosmic censorship in gravitational collapse with astrophysical parameter values

TL;DR

This paper argues that under realistic astrophysical conditions, gravitational collapse does not violate the weak cosmic censorship hypothesis, as strong gravitational fields prevent null rays from escaping the singularity.

Contribution

It provides negative evidence against the violation of weak cosmic censorship in astrophysical collapse scenarios with negligible asymmetry and typical parameter values.

Findings

Collapse objects with mass > 1.5 M_sun trap null rays early.

Density > 1.5 x 10^{15} g/cm^3 prevents null ray escape.

Weak cosmic censorship holds under realistic astrophysical parameters.

Abstract

The possible violation of the weak cosmic censorship hypothesis in astrophysical phenomena can provide us with the information about trans-Planckian physics through observations. We present negative evidence, however, that one should not expect such a possibility at least when the deviation from spherical symmetry is negligible and the parameter values of collapse are astrophysically reasonable. Taking the Lema\^itre-Tolman-Bondi solution as the model most likely to counter the weak hypothesis, we show that the mass ($ \gtrsim 1.5 M_\odot $) and density ($ \gtrsim 1.5 \times 10^{15} \; {\rm g/cm^3}$) of the collapsing object produce a gravitational field strong enough to capture any null rays soon after emanating from the singularity.