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arXiv · 1001.1162

On the existence of cosmological event horizon

Sourav Bhattacharya·Amitabha Lahiri
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Abstract

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.

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Sourav Bhattacharya, Amitabha Lahiri. 2010-06-15. On the existence of cosmological event horizon. https://doi.org/10.1088/0264-9381%2F27%2F16%2F165015

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