1210.1569 (Sumanta Chakraborty)

Observers and Velocity Measurements in Static Spherically Symmetric
Space-time: A General Relativistic Prescription    [PDF]

Sumanta Chakraborty

The general misconception regarding velocity measurements of test particle as it approaches black hole is addressed by introducing generalised observer set. We also generalise the motion from radial geodesic to motion confined in a specific $\theta$ plane exploiting the symmetry of the problem. For a general static spherically symmetric metric we find that velocity of the test particle do not approach that of light at event horizon. However if the metric co-efficient on the 2-sphere is a function of radial co-ordinte, then the motion is changed drastically and we have shown that this has connection with penrose process.

View original: http://arxiv.org/abs/1210.1569