[Users] weyl scalar symmetries

Yosef Zlochower yosef at astro.rit.edu
Fri May 18 10:02:13 CDT 2012


  I noticed that WeylScal4 sets the symmetries of the Weyl scalars by
defining the real and imaginary parts of each of the psi's in a
different group. RotatingSymmetry and the ReflectionSymmetry thorns
define a tensor alias "weylscalars_real", but the symmetries given there
do not correspond to those of the psi's.

The Weyl symmetries as provided in RotatingSymmetry180

static int const weylparities[10][3] =

The symmetries for rpsi0, ipsi0, rpsi1, ipsi1, ..., rpsi4, ipsi4

static int const weylparities[10][3] =
   {{+1,+1,+1},  /* rpsi0 */
    {-1,-1,-1},  /* ipsi0 */
    {+1,+1,-1},  /* rpsi1 */
    {-1,-1,+1},  /* ipsi1 */
    {+1,+1,+1},  /* rpsi2 */
    {-1,-1,-1},  /* ipsi2 */
    {+1,+1,-1},  /* rpsi3 */
    {-1,-1,+1},  /* ipsi3 */
    {+1,+1,+1},  /* rpsi4 */
    {-1,-1,-1}}; /* ipsi4 */

Dr. Yosef Zlochower
Center for Computational Relativity and Gravitation
Assistant Professor
School of Mathematical Sciences
Rochester Institute of Technology
85 Lomb Memorial Drive
Rochester, NY 14623

Phone: +1 585-475-6103

yosef at astro.rit.edu

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