In:
Journal of Mathematical Physics, AIP Publishing, Vol. 12, No. 9 ( 1971-09-01), p. 1929-1937
Abstract:
The study of singularities in general relativity was given a strong impetus by a topological approach due to Penrose and others, and powerful theorems concerning their existence have been developed. In particular a theorem by Penrose states that under certain conditions the existence of a trapped surface in a space-time guarantees that singularities will develop. Using the spin coefficient formalism we generalize from the Schwarzschild solution and prove the existence of a wide class of solutions possessing such trapped surfaces by displaying the solutions to terms linear in a certain null coordinate. Then, using an asymptotic procedure, the method is generalized to include a class of solutions possessing ``asymptotically trapped surfaces.''
Type of Medium:
Online Resource
ISSN:
0022-2488
,
1089-7658
Language:
English
Publisher:
AIP Publishing
Publication Date:
1971
detail.hit.zdb_id:
1472481-9
