arxiv: 1112.3286 · v1 · pith:K27MRK4Pnew · submitted 2011-12-14 · 🌀 gr-qc · astro-ph.HE· hep-th

Hairy Black Holes and Null Circular Geodesics

Shahar Hod This is my paper

classification 🌀 gr-qc astro-ph.HEhep-th

keywords circularconjecturehairhairynullphotonsphereaboveanalytical

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Einstein-matter theories in which hairy black-hole configurations have been found are studied. We prove that the nontrivial behavior of the hair must extend beyond the null circular orbit (the photonsphere) of the corresponding spacetime. We further conjecture that the region above the photonsphere contains at least 50% of the total hair's mass. We support this conjecture with analytical and numerical results.

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Bounds on the photon sphere radius for spherically symmetric black holes in n-dimensional Einstein gravity
gr-qc 2026-01 unverdicted novelty 6.0

Upper bound r_γ ≤ [(n-1)M]^{1/(n-3)} and lower bound r_γ ≥ ((n-1)/2)^{1/(n-3)} r_H on the photon sphere for nD black holes with anisotropic matter obeying the weak energy condition and non-positive trace.