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It has been said if a photon crosses the event horizon of a black hole it will have a spiral orbit; The spiral is Archimedes [itex]r = r_{i}+r_{0}\theta^2[/itex]

There is one such example in "Introduction to tensor calculus, relativity and cosmology" by D F Lawden on page 165

Is it possible that the photon orbit is a logarithmic spiral? Does the spiral shape depend on the metric of the gravitational field?

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# Logarithmic spiral photon orbits

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