Publication date: Sep 2008
Abstract:
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.
Authors:
Hledík, Stanislav; Stuchlík, Zdenĕk; Cipko, Alois;