The golden ratio in Schwarzschild-Kottler black holes
classification
🌀 gr-qc
astro-ph.HE
keywords
goldenratioschwarzschild-kottleraccelerationblackconstantcosmologicalgeneral
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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 $\Phi = (\sqrt{5}-1)/2$. This is a general result which is independent of the value and sign of the cosmological constant $\Lambda$.
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