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

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# Hyperbolic motions

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