- #1
Parvulus
- 8
- 0
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).
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.
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.