On visible effects in the double Schwarzschild solution

2025/12/12 by de Leon, Eddy, J. Frauendiener, Christian Klein +2
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2512.12032

openalex publication_date 2025/12/12 · openalex created_date 2025/12/17 · openalex updated_date 2026/07/28

Abstract

Physical aspects of a static solution to the Einstein equations with two black holes are studied via ray tracing. The exact solution for this double Schwarzschild solution is known in explicit form. The black holes are separated by a singularity called Weyl strut. The effect of this strut on null geodesics is shown to be defocusing in contrast to the focusing effect of the black holes. It is shown that black holes with a large separation essentially lead to similar behavior of the null geodesics as a single black hole, whereas nearby holes display a widely changed behavior due to the Weyl strut.

Citations

• Visualisation of counter-rotating dust disks using ray tracing methods
• Gravitational lensing by spinning black holes in astrophysics, and in the movie <i>Interstellar</i>

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