C1-stability of naked singularities arising in an inhomogeneous dust collapse

Details C1-stability of naked singularities arising in an inhomogeneous dust collapse C1-stability of naked singularities arising in an inhomogeneous dust collapse

Jan 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cqgra..16..281s&link_type=abstract

Classical and Quantum Gravity, Volume 16, Issue 1, pp. 281-289 (1999).

Physics

12

Scientific paper

Considering an inhomogeneous dust collapse we prove that, given an arbitrary C1-mass function F(r), there exist infinitely many C1-energy functions f(r) such that the initial data F(r) and f(r) lead the collapse to a strong-curvature naked singularity. Thus C1-mass functions constitute the true initial data for such a collapse. We further prove that the occurrence of such naked singularities is stable but not generic in C1-topology with respect to such mass functions.

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