Gregory J Galloway and Didier A Solis 2007 Class. Quantum Grav. 24 3125 doi:10.1088/0264-9381/24/11/021
Uniqueness of de Sitter space
Gregory J Galloway1 and Didier A Solis2
Show affiliationsAll inextendible null geodesics in four-dimensional de Sitter space dS4 are complete and globally achronal. This achronality is related to the fact that all observer horizons in dS4 are eternal, i.e. extend from future infinity 
all the way back to past infinity 
. We show that the property of having a null line (inextendible achronal null geodesic) that extends from 
to 
characterizes dS4 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.
- PACS
-
04.20.Gz Spacetime topology, causal structure, spinor structure
04.20.Ex Initial value problem, existence and uniqueness of solutions
- MSC
-
85A40 Cosmology (For relativistic cosmology, see 83F05)
53C22 Geodesics (See also 58E10)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
- Subjects
- Dates
-
Issue 11 (7 June 2007)
Received 30 March 2007, in final form 25 April 2007
Published 22 May 2007
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Uniqueness of de Sitter space
Gregory J Galloway and Didier A Solis 2007 Class. Quantum Grav. 24 3125
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