File:Bell observers.png

Summary
This figure depicts some observers who are comoving and inertial before time zero, and afterwards accelerating in the same direction with constant magnitude acceleration (as measured by the observers themselves).

The world lines of these Bell observers (see Bell's spaceship paradox) define a non-inertial timelike congruence which is vorticity-free and therefore hypersurface orthogonal. The magenta curve represents a typical spatial hyperslice. Each of these spatial hyperslices turns out to be locally isometric to E3.

This png image was converted using eog from a jpg image made using Maple by User:Hillman.