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Asymptotic Light Cone Structure in Cosmological Models of B IANCHI Type I
Author(s) -
AbdelMegied M.,
Dautcourt G.
Publication year - 1973
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19730570114
Subject(s) - gravitational singularity , cone (formal languages) , mathematics , light cone , neighbourhood (mathematics) , geometry , type (biology) , metric (unit) , physics , mathematical analysis , mathematical physics , ecology , operations management , algorithm , economics , biology
The inner metric of general light cone in a B IANCHI type I geometry is determined. No focal surface can occur. The singularities which appear in the cosmological solutions of the E INSTEIN field equations at some past instant of time are shown to appear also as singularities of the inner light cone geometry. The behaviour of null geodesies constituting the light cone is studied in the neighbourhood of their singularities.