So you want to stop time
Abstract
Description
A model of a stasis chamber, slowing the passage of time in its interior down to arbitrarily small rates relative to the outside world, is considered within classical general relativity. Since the model is adapted from the Majumdar-Papapetrou spacetime, interior spatial volumes are expanded by the same factor (cubed) as the rate of time is reduced. Real and apparent (gravitational) forces as perceived by an interior observer are altered, but in opposite ways. Comparison with special-relativistic time dilation shows the use of such a static stasis chamber to be economical only when the most drastic slowing of time relative to the outside world is desired (d(tau)/dt < 10^{-20}) or when one wants to avoid spending the time needed to accelerate to relativistic speeds.
10 pages, 3 figures. Added a door. Expanded sections 4.2 and 4.3, other minor changes and corrections
10 pages, 3 figures. Added a door. Expanded sections 4.2 and 4.3, other minor changes and corrections