Uniform Acceleration within de Sitter Spacetime

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 .


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


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].
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2017 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+