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Comment on “Strength and genericity of singularities in Tolman-Bondi-de Sitter collapse” and a note on central singularities. (English) Zbl 1039.83511

Summary: It has been claimed in the third author’s paper [Phys. Lett. A 287, 53–58 (2001; Zbl 0971.83045) that the Lemaitre-Tolman-Bondi-de Sitter solution always admits future-pointing radial time-like geodesics emerging from the shell-focussing singularity, regardless of the nature of the (regular) initial data. This is despite the fact that some data rule out the emergence of future pointing radial null geodesics. We correct this claim and show that, in general in spherical symmetry, the absence of radial null geodesics emerging from a central singularity is sufficient to prove that the singularity is censored.

MSC:

83F05 Relativistic cosmology
83C15 Exact solutions to problems in general relativity and gravitational theory

Citations:

Zbl 0971.83045

References:

[1] Gonçalves, S. M.C. V., Phys. Lett. A, 287, 53 (2001) · Zbl 0971.83045
[2] Gonçalves, S. M.C. V., Phys. Rev. D, 63, 064017 (2001)
[3] Deshingkar, S. S.; Jhingan, S.; Chamorro, A.; Joshi, P. S., Phys. Rev. D, 63, 124005 (2001)
[4] Mena, F. C.; Nolan, B. C., Class. Quant. Grav., 18, 4531 (2001) · Zbl 0989.83029
[5] Bondi, H., Mon. Not. R. Astron. Soc., 107, 410 (1947) · Zbl 0031.23804
[6] Deshingkar, S. S.; Joshi, P. S.; Dwivedi, I. H., Phys. Rev. D, 59, 044018 (2001)
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