Uniqueness of de Sitter space
Uniqueness of de Sitter space
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DOI：
10.1088/0264-9381/24/11/021
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发表时间：
2007-06-07
影响因子：
3.5
通讯作者：
Solis, Didier A.
中科院分区：
文献类型：
--
作者：
Galloway, Gregory J.;Solis, Didier A.
四维de Sitter空间DS(4)中的所有不可扩张的零测地线都是完备的且全局非正弦的。这种时间性与DS(4)中的所有观察者视界都是永恒的事实有关，即从未来无限J(+)一直延伸到过去无限J(-)。我们证明了在所有满足正宇宙常数真空爱因斯坦方程的全局双曲和渐近de Sitter时空中，有一条从J(-)延伸到J(+)的零线(不可扩张的非角零测地线)的性质表征了DS(4)。然后，这一结果被进一步扩展，以允许一类包括完美流体的物质模型。
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 J(+) all the way back to past infinity J(-). We show that the property of having a null line (inextendible achronal null geodesic) that extends from J(-) to J(+) 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.