Wormhole simulation

Experience the space time curvature and strange lensing effects of a 3D wormhole in your browser.

Mathematical details

In this simulation you see the curvature of an Ellis wormhole with a throat.

The metric used to trace all light rays is

$d{s}^2=d{l}^2+(k^2+x^2)(d{\theta }^2+si{n}^2\theta d{\phi }^2)$

where

$x=max(0,|l|-a)$
$k$ = the wormhole's interior's radius
$a$ = half the throat's length.

Due to the spherical symmetry, instead of integrating the light rays in spherical coordinates, they are first projected onto a 2D plane through the origin and integrated in 2D space (using metric $d{s}^2=d{l}^2+(k^2+x^2)d{\theta }^2$).

Credits

The skyboxes were made using Space Engine.