Astronomy and Astrophysics – Astronomy
Scientific paper
Nov 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15.1077c&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 15, Nov. 1983, p. 1077-1083. Research supported by the U.S.-Israel Bin
Astronomy and Astrophysics
Astronomy
Black Holes (Astronomy), Conformal Mapping, Cosmology, Relativity, Hamiltonian Functions, Mass Distribution, Scalars, Singularity (Mathematics), Space-Time Functions
Scientific paper
A well-known difficulty associated with the conformal method for the solution of the general relativistic Hamiltonian constraint is the appearance of an aphysical 'bag of gold' singularity at the nodal surfaces of the conformal factor. This happens whenever the background Ricci scalar is too large. It is demonstrated that some of these singular solutions do have a physical meaning, and that these can be considered as initial data for universe containing black holes which are connected in a conformally nonsingular way with each other. The relation the ADM mass and the horizon area in this solution supports the cosmic censorship conjecture.
Cantor Murray
Piran Tsvi
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