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The fate of observers in circular motion
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In Newtonian physics or in general relativity, energy dissipation causes observers moving along circular orbits to slowly spiral towards the source of the gravitational field. We show that the loss of energy has the same effect in any theory of gravity respecting the weak equivalence principle, by exhibiting an intimate relation between the energy of a massive test particle and the stability of its orbit. Ultimately, massive particles either plunge, or are driven towards minima of the generalized Newtonian potential, where they become static. In addition, we construct a toy metric which displays an unbound innermost stable circular orbit, allowing particles that reach this orbit to be expelled away.
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Cited by 1 Pith paper
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A new type of multi-branch periodic orbits in dyonic black holes
Dyonic black holes with non-monotonic metric functions support multiple geometrically distinct but topologically identical periodic orbits for the same rational label, plus bound orbits with energy above unity.
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