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dinofreack — Simulation of gravitational time Dilation 1 by

#astrophysics #dilation #einstein #general #gravity #relativity #schwarzschild #simulation #time #physics
Published: 2022-09-16 13:00:10 +0000 UTC; Views: 568; Favourites: 1; Downloads: 3
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Description

This grey scale animation is a visual representation for a very rough simulation of two close star's gravity fields interacting. Depending on your display, you may have to turn up brightness in order to see some of the details.

The simulation uses Karl Schwarzschild's Solution of Einstein's field equations.

An example of the formular can be found on the following link:

ffden-2.phys.uaf.edu/webproj/2…



In the example here we can see the interaction between a star equal to our own sun and a red dwarf of about 20% the sun's mass, wich I set on a circular orbit around the central star, at a radius of roughly 1.5 light minutes.

The entire image spans a 300 light seconds wide quadrat, with each pixel representing a single measure point every one light second.

The displayed scale of the Schwarzschild factor ranges from a maximum value of roughly 1+9.85e-7 (white), wich represents the time dilation at a distance of about 5 light seconds from the sun's center, to 1.0 (black), wich would be the normal time for an observer at infinite distance.


This specific simulation is build for fast calculations and simplified depiction of results. As such it's output does have a few quirks. Most notably the black spots around the centers of the two stars, wich would have higher values than the set output maximum.
Also in this version the order of time dependent fields was wrong. It does not have much effect at the scale and resolution of this animation, but technically it would be a tiny bit more accurate, if played in reverse.

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