The cosmological problem as initial value problem on the observer's past light cone - Geometry

Details The cosmological problem as initial value problem on the observer's past light cone - Geometry The cosmological problem as initial value problem on the observer's past light cone - Geometry

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983jpha...16.3507d&link_type=abstract

Journal of Physics A - Mathematical and General (ISSN 0305-4470), vol. 16, Oct. 21, 1983, p. 3507-3528.

Physics

7

Astronomical Models, Boundary Value Problems, Cosmology, Relativity, Einstein Equations, Field Theory (Physics), Geometry, Gravitational Fields, Space-Time Functions

Scientific paper

An approach to cosmology is suggested in the context of general relativity which claims to depend exclusively on quantities accessible, at least in principle, to the astronomical observer, with no cosmological principle adopted as an a priori assumption. The approach is based on the characteristic initial value problem for the Einstein field equations imposed on the observer's past light cone. The inner geometry of the past light cone enters the relations between observable quantities. Thus, it should become possible to determine both the cone geometry, as well as the distribution of cosmic matter near the cone, without adopting arbitrary assumptions. In the present study, the cone initial data are specified for a general dust model. An explicit procedure in terms of successive integrations is given to determine the gravitational field near the past light cone.

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