Revisiting the light cone of the Gödel universe
Abstract
The structure of a light cone in the Gödel 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.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- February 2006
- DOI:
- 10.1088/0264-9381/23/4/013
- arXiv:
- arXiv:gr-qc/0511015
- Bibcode:
- 2006CQGra..23.1269D
- Keywords:
-
- General Relativity and Quantum Cosmology
- E-Print:
- 23 pages, 3 figures, iopart