Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-01-07
Class.Quant.Grav.27:165015,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
v2: 7p. title changed, discussions and references added
Scientific paper
10.1088/0264-9381/27/16/165015
We show that, for general static or axisymmetric stationary spacetimes, a cosmological Killing horizon exists only if $R_{ab}n^{a}n^{b}< 0$ for a hypersurface orthogonal timelike $n^{a}$, at least over some portion of the region of interest of the manifold. This implies violation of the strong energy condition by the matter fields, the simplest example of which is a positive cosmological constant.
Bhattacharya Sourav
Lahiri Amitabha
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