Uniform Acceleration within de Sitter Spacetime
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An observer moves with uniform acceleration within a de Sitter spacetime with Hubble constant
. The journey can be divided into three stages. In the first stage, the observer accelerates by
in the positive
direction; in the second stage, acceleration is in the negative
direction; and in the third stage, acceleration is again in the positive
direction. The proper times of the two acceleration changes are denoted by
and
.
Contributed by: Sebastian Boblest and Thomas Müller (March 2011)
Open content licensed under CC BY-NC-SA
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Details
Round trips are only possible for . At
, the observer has reached the turning point, which is located at
. The journey ends at
, but note that, in general, the observer must have a nonvanishing velocity.
A detailed description of this topic can be found in S. Boblest, T. Müller, and G. Wunner, "Twin Paradox in de Sitter Spacetime," arXiv:1009.3427v1 [gr-qc].
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