The high velocities observed in supernovae require a relativistic treatment for the equation of motion in the presence of gradients in the density of the interstellar medium. The adopted theory is that of the thin layer approximation. The chosen medium is auto-gravitating with respect to an equatorial plane. The differential equation which governs the relativistic conservation of momentum is solved numerically and by recursion. The asymmetric field of relativistic velocities as well the time dilation is plotted at the age of 1 yr for SN 1987A.
 Soderberg, A.M., Chakraborti, S. and Pignata, G. (2010) A Relativistic Type Ibc Supernova without a Detected -Ray Burst. Nature, 463, 513. http://dx.doi.org/10.1038/nature08714
 Guéry-Odelin, D. and Lahaye, T. (2010) Classical Mechanics Illustrated by Modern Physics: 42 Problems with Solutions. Imperial College Press, London. http://dx.doi.org/10.1142/p679