On the existence of cosmological event horizon

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.

v2: 7p. title changed, discussions and references added

References in corpus (1)

• A 3+1 perspective on null hypersurfaces and isolated horizons

Cited by in corpus (4)

• Cosmological apparent and trapping horizons
• No hair theorems for stationary axisymmetric black holes
• Rotating Killing horizons in generic $F(R)$ gravity theories
• Massive spin-2 and spin-1/2 no hair theorems for stationary axisymmetric black holes