Orbits of light rays in scale-dependent gravity: Exact analytical solutions to the null geodesic equations

Grigoris Panotopoulos, ANGEL RINCON RIVERO, Ilídio Lopes

Research output: Contribution to journalArticlepeer-review

Abstract

We study photon orbits in the background of (1+3)-dimensional static, spherically symmetric geometries. In particular, we have obtained exact analytical solutions to the null geodesic equations for light rays in terms of the Weierstraß function for space-times arising in the context of scale-dependent gravity. The trajectories in the (x-y) plane are shown graphically, and we make a comparison with similar geometries arising in different contexts. The light deflection angle is computed as a function of the running parameter ζ, and an upper bound for the latter is obtained.

Original languageEnglish
Article number104040
JournalPhysical Review D
Volume103
Issue number10
DOIs
StatePublished - 18 May 2021
Externally publishedYes

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