SpECTRE
v2024.04.12
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NormalOneForm(i)
is \(s_i\), the (unnormalized) normal one-form to the surface, expressed in Cartesian components. This is computed by \(x_i/r-\partial r_{\rm surf}/\partial x^i\), where \(x_i/r\) is Rhat
and \(\partial r_{\rm surf}/\partial x^i\) is DxRadius
. See Eq. (8) of [14]. Note on the word "normal": \(s_i\) points in the correct direction (it is "normal" to the surface), but it does not have unit length (it is not "normalized"; normalization requires a metric).
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#include <Tags.hpp>
Public Types | |
using | type = tnsr::i< DataVector, 3, Frame > |
NormalOneForm(i)
is \(s_i\), the (unnormalized) normal one-form to the surface, expressed in Cartesian components. This is computed by \(x_i/r-\partial r_{\rm surf}/\partial x^i\), where \(x_i/r\) is Rhat
and \(\partial r_{\rm surf}/\partial x^i\) is DxRadius
. See Eq. (8) of [14]. Note on the word "normal": \(s_i\) points in the correct direction (it is "normal" to the surface), but it does not have unit length (it is not "normalized"; normalization requires a metric).