[Users] weyl scalar symmetries

Barry Wardell barry.wardell at gmail.com
Fri May 18 14:48:08 CDT 2012


Hi Yosef,

I'm not so familiar with the parities in the symmetry thorns, but I am
reasonably confident that the manual Cartesian parities which are set by
WeylScal4 are correct (in fact, there was correction committed just a few
days ago). So, it seems likely that the parities in the symmetry thorns are
either wrong or my interpretation of what they mean is wrong.

Can someone who is familiar with the symmetry thorns comment on whether the
code there is correct? Are these parities used by any actively used code?
It looks like they were added for PsiKadelia.

Barry

On Fri, May 18, 2012 at 4:02 PM, Yosef Zlochower <yosef at astro.rit.edu>wrote:

> Hi,
>
>  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] =
>           {{+1,+1,+1},
>            {-1,-1,-1},
>            {+1,+1,+1},
>            {-1,-1,-1},
>            {+1,+1,+1},
>            {-1,-1,-1},
>            {+1,+1,+1},
>            {-1,-1,-1},
>            {+1,+1,+1},
>            {-1,-1,-1}};
>
>
> 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
>
> Office:74-2067
> Phone: +1 585-475-6103
>
> yosef at astro.rit.edu
>
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