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Upper bound on the radius of the innermost photonsphere in the regular compact star spacetime
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abstract
We study properties of the innermost photonsphere in the regular compact star background. We take the traceless energy-momentum tensor and dominant energy conditions. In the regular compact star background, we analytically obtain an upper bound on the radius of the innermost photonsphere as $r_{\gamma}^{in}\leqslant \frac{12}{5}M$, where $r_{\gamma}^{in}$ is the radius of the innermost photonsphere and $M$ is the total ADM mass of the asymptotically flat compact star spacetime.
Forward citations
Cited by 2 Pith papers
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Static spheres in black hole spacetimes: pairing, energy conditions, and an upper bound on the innermost radius
Static spheres around black holes come in unstable/stable pairs, need negative radial pressure, and their innermost radius obeys a new upper bound tied to strong-energy-condition violation.
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The existence and upper bound for stable photon spheres in static spherically symmetric black holes
For static spherical black holes with monotone m(r)/r^3, every stable photon sphere obeys r < 6M.
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