Optics in the Schwarzschild space-time
arXiv:gr-qc/0405037 · doi:10.1103/PhysRevD.72.104024
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.
14 pages, 10 figures, type C orbits added, analytic solutions for time of flight of photons for all 3 types of orbits added
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- Analytical time-like geodesics
- Upper-twin-peak quasiperiodic oscillation in x-ray binaries and the energy from tidal circularization of relativistic orbits
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- Modelling the light-curves of objects tidally disrupted by a black hole