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paper

The golden ratio in Schwarzschild-Kottler black holes

arXiv:1701.03166 · doi:10.1140/epjc/s10052-017-4670-7

Abstract

In this paper we show that the golden ratio is present in the Schwarzschild-Kottler metric. For null geodesics with maximal radial acceleration, the turning points of the orbits are in the golden ratio $Φ= (\sqrt{5}-1)/2$. This is a general result which is independent of the value and sign of the cosmological constant $Λ$.