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.
Cite this paper
Zaninetti, L. (2014) The Relativistic Three-Dimensional Evolution of SN 1987A. International Journal of Astronomy and Astrophysics
, 359-364. doi: 10.4236/ijaa.2014.42030
 Marion, G.H., Vinko, J. and Wheeler, J.C. (2013) High-Velocity Line Forming Regions in the Type Ia Supernova 2009ig. The Astrophysical Journal (ApJ), 777, 40.
 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
 Zaninetti, L. (2013) Three-Dimensional Evolution of SN 1987a in a Self-Gravitating Disk. International Journal of Astronomy and Astrophysics, 3, 93.
 French, A.P. (1968) Special Relativity. CRC. New York.
 Zhang, Y. (1997) Special Relativity and Its Experimental Foundations. World Scientific, Singapore City.
 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
 Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P. (1992) Numerical Recipes in FORTRAN. The Art of Scientific Computing. Cambridge University Press, Cambridge.
 Smith, N. (2006) The Structure of the Homunculus. I. Shape and Latitude Dependence from H2 and Fe II Velocity Maps of eta Carinae. The Astrophysical Journal (ApJ), 644, 1151.