[ET Trac] [Einstein Toolkit] #1201: Incorrect dtshift in Exact with shift_add_{x, y, z} parameters
Einstein Toolkit
trac-noreply at einsteintoolkit.org
Tue Oct 24 09:09:59 CDT 2017
#1201: Incorrect dtshift in Exact with shift_add_{x,y,z} parameters
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Reporter: barry.wardell | Owner:
Type: defect | Status: new
Priority: major | Milestone:
Component: EinsteinToolkit thorn | Version:
Resolution: | Keywords:
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Description changed by rhaas:
Old description:
> The Exact thorn has shift_add_{x,y,z} parameters for adding a constant to
> the shift. Considering these as a coordinate transformation using a
> vector v^i = [shift_add_x, shift_add_y, shift_add_z], such a
> transformation should affect both the shift and its time derivative. This
> is because the time derivative in the new coordinates differs from the
> time derivative in the old coordinates by a term v^j d(beta^i)/dx^j. This
> is correctly implemented as a 4D coordinate transformation in the
> EinsteinExact thorns and I have verified that the difference relative to
> the Exact thorn is given by this missing term.
New description:
The Exact thorn has {{{shift_add_{x,y,z}}}} parameters for adding a
constant to the shift. Considering these as a coordinate transformation
using a vector {{{v^i = [shift_add_x, shift_add_y, shift_add_z]}}}, such a
transformation should affect both the shift and its time derivative. This
is because the time derivative in the new coordinates differs from the
time derivative in the old coordinates by a term {{{v^j d(beta^i)/dx^j}}}.
This is correctly implemented as a 4D coordinate transformation in the
EinsteinExact thorns and I have verified that the difference relative to
the Exact thorn is given by this missing term.
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Ticket URL: <https://trac.einsteintoolkit.org/ticket/1201#comment:4>
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