Since in the papers by Guo & Huang and Aldrovandi & Pereira I couldn't find a practical formula for time dilation in de Sitter Special Relativity, I wonder if anyone here has it (or can derive it from the high-level formulas in those papers).(adsbygoogle = window.adsbygoogle || []).push({});

Specifically,

let be a de Sitter spacetime with horizon R.

Let O be the center of that spacetime.

Let a point P be moving with velocity v with respect to O.

When point P is at distance r with respect to O, a local event starts in P, lasting a proper time interval Delta_ts.

In Special Relativity, Delta_t, the interval of the event as observed from the frame of reference centered in O, would be:

Delta_t = Delta_ts / sqrt[1 - (v/c)^2]

What is the corresponding formula in de Sitter Special Relativity? (most probably involving r/R)

Thank you very much in advance.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Time dilation in de Sitter Special Relativity

**Physics Forums | Science Articles, Homework Help, Discussion**