Upper bound on the radius of the innermost photonsphere in the regular compact star spacetime

2024/02/09 by Guohua Liu, Yan Peng, Liu, Guohua +1 · 1 citation
Physics and Astronomy · Mathematics · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2402.15517

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_γⁱⁿ\leqslant (12)/(5)M, where r_γⁱⁿ is the radius of the innermost photonsphere and M is the total ADM mass of the asymptotically flat compact star spacetime.

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