Revisiting the Light Cone of the Goedel Universe

Details Revisiting the Light Cone of the Goedel Universe Revisiting the Light Cone of the Goedel Universe

2005-11-03

arxiv.org/abs/gr-qc/0511015v1

Class.Quant.Grav. 23 (2006) 1269-1288

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 3 figures, iopart

Scientific paper

10.1088/0264-9381/23/4/013

The structure of a light cone in the Goedel universe is studied. We derive the intrinsic cone metric, calculate the rotation coefficients of the ray congruence forming the cone, determine local differential invariants up to second order, describe the crossover (keel) singularities and give a first discussion of its focal points. Contrary to many rotation coefficients, some inner differential invariants attain simple finite standard values at focal singularities.

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