Publication date: Sep 2008
A simple but powerful method how to visualize curved spacetimes is via
embedding diagrams of both ordinary geometry and optical reference
geometry 2D sections into 3D Euclidean space. They facilitate to gain an
intuitive insight into the gravitational field rendered into a curved
spacetime, and to assess the influence of spacetime metrics parameters.
Optical reference geometry and related inertial forces and their
relationship to embedding diagrams are particularly useful for
investigation of test particles motion. Embedding diagrams of static and
spherically symmetric, or stationary and axially symmetric black-hole
and naked-singularity space times thus present a useful concept for
intuitive understanding of these spacetimes‘ nature.
Hledík, Stanislav; Stuchlík, Zdenĕk; Cipko, Alois;