For an asymptotically de Sitter brane wormhole, the throat is shown to be an unstable fixed point and photon sphere, with a claimed Bogdanov-Takens bifurcation for radial null geodesics.
Isotropic extensions of the vacuum solutions in general relativity
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abstract
In this work, we obtain isotropic extensions of the usual spherically symmetric vacuum geometries in general relativity. Exact and perturbative solutions are derived. The classes of geometries obtained include black holes in compact and noncompact universes, wormholes in the interior region of cosmological horizons, and anti-de Sitter geometries with excess/deficit solid angle. The tools developed here are applicable in more general contexts.
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Geodesic dynamics in brane-de Sitter wormholes
For an asymptotically de Sitter brane wormhole, the throat is shown to be an unstable fixed point and photon sphere, with a claimed Bogdanov-Takens bifurcation for radial null geodesics.