Optics in the Schwarzschild space-time
Andrej Cadez, Uros Kostic
TL;DR
This paper provides a complete solution for modeling light-like geodesics in Schwarzschild space-time, essential for understanding radiation transfer in black hole accretion disks.
Contribution
It offers a comprehensive analytical solution for light-like geodesics connecting arbitrary points in Schwarzschild space-time, advancing modeling accuracy.
Findings
Explicit formulas for geodesic constants of motion
Analytical solutions for connecting arbitrary points
Enhanced modeling of radiation transfer in black hole environments
Abstract
Realistic modelling of radiation transfer in and from variable accretion disks around black holes requires the solution of the problem: find the constants of motion and equation of motion of a light-like geodesic connecting two arbitrary points in space. Here we give the complete solution of this problem in the Schwarzschild space-time.
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