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arXiv · 1108.0248

Weak cosmic censorship in gravitational collapse with astrophysical parameter values

Umpei Miyamoto·Sanjay Jhingan·Tomohiro Harada
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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.

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Umpei Miyamoto, Sanjay Jhingan, Tomohiro Harada. 2011-08-01. Weak cosmic censorship in gravitational collapse with astrophysical parameter values. https://doi.org/10.1093/ptep/ptt027

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