Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-03-27
Class.Quant.Grav.24:3125-3138,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, 2 figures
Scientific paper
10.1088/0264-9381/24/11/021
All inextendible null geodesics in four dimensional de Sitter space dS^4 are complete and globally achronal. This achronality is related to the fact that all observer horizons in dS^4 are eternal, i.e. extend from future infinity scri^+ all the way back to past infinity scri^-. We show that the property of having a null line (inextendible achronal null geodesic) that extends from scri^- to scri^+ characterizes dS^4 among all globally hyperbolic and asymptotically de Sitter spacetimes satisfying the vacuum Einstein equations with positive cosmological constant. This result is then further extended to allow for a class of matter models that includes perfect fluids.
Galloway Gregory J.
Solis Didier A.
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