Hi everybody(adsbygoogle = window.adsbygoogle || []).push({});

I've been lately a little bit concerned over the hyperbolic motions that have the following equations in (ct,x)-space:

[tex]\frac{x^2}{(c^2/a)^2}-\frac{(ct)^2}{(c^2/a)^2}=1[/tex].

We know that events horizons are the lines that form a 45-degree angle by both ct- and x-axis. So what does actually assure us that here, for instance, for t=0, [tex]x=\pm c^2/a[/tex] lie inside events horizens? Is this just because [tex]a[/tex] can't in magnitude gets higher than [tex]c[/tex]?

AB

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

Dismiss Notice

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!

# Hyperbolic motions

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