Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-05-11
Int.J.Mod.Phys.D20:1095-1122,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, 6 figures
Scientific paper
10.1142/S0218271811019220
The crease set of an event horizon or a Cauchy horizon is an important object which determines qualitative properties of the horizon. In particular, it determines the possible topologies of the spatial sections of the horizon. By Fermat's principle in geometric optics, we relate the crease set and the Maxwell set of a smooth function in the context of singularity theory. We thereby give a classification of generic topological structure of the Maxwell sets and the generic topologies of the spatial section of the horizon.
Koike Tatsuhiko
Siino Masaru
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