Rindler coordinates are nice, but they fall apart when a=0, where ##T=\frac{sinh(at)}{a}=\frac{0}{0}##. Is there a good way to fix that?
Intuitively I'd want to do out the taylor expansion, divide by a, then collapse it back to... something...
$$T=\frac {\sinh(at)} {a}=\frac{ \sum_{n=0}^\infty...