Give the Coordinates of Point a

These hyperbolic coordinates can be separated into two main variants depending on the accelerated observers position. We divide the region into many small regions.

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If the observer is located at time T 0 at position X 1α with α as the constant proper acceleration measured by a comoving accelerometer then the hyperbolic coordinates are often called Rindler coordinates with the corresponding Rindler metric.

. How might we approximate the volume under such a surface in a way that uses cylindrical coordinates directly. The basic idea is the same as before. We could attempt to translate into rectangular coordinates and do the integration there but it is often easier to stay in cylindrical coordinates.

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