Embedding negatively curved initial data of black-hole collisions in R3

Details Embedding negatively curved initial data of black-hole collisions in R3 Embedding negatively curved initial data of black-hole collisions in R3

Jan 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cqgra..23..225c&link_type=abstract

Classical and Quantum Gravity, Volume 23, Issue 1, pp. 225-234 (2006).

Physics

1

Scientific paper

Visualizing the evolution of gravitating systems can be of considerable conceptual value, because it provides important physical information about these systems such as initial data for the problem of the head-on collision of two black holes. This paper discusses slices of the initial data of several systems whose Gaussian curvatures are negative, and provides related analysis on isometric embedding in R3, which is equivalent to visualization. After the introduction of historical remarks, we have a partial result on systematic analysis of global embedding of initial data: among all negatively curved slices with similar ends the Schwarzschild surface is the only one that can be visualized with any degree of completeness.

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