utensil.tngl.sh
A series of experiments with Julia and Python
Correct naming of Kerr-Debney Metric
author
utensil
date
(Apr 22, 2019, 10:05 PM +0800)
commit
eb2132ef
eb2132ef0e294f596ba59d8bb9d7ad4c10ba0a61
parent
345d1ed6
345d1ed6431d4f9f4f36e4fd30b0e7c57b9d63a8
+33
-1
+33
-1
py/galgebra_reciprocal_basis.ipynb
+33
-1
py/galgebra_reciprocal_basis.ipynb
···
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" sgn = -sgn\n",
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"```\n",
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"\n",
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"Let's verify this logic step by step using Rotating frame spacetime manifold (Kerr-Debney Metric):"
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"Let's verify this logic step by step using Kerr-Debney Metric:"
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]
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},
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{
···
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"\n",
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"def show(x):\n",
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" display(Math(GaLatexPrinter.latex(x)))"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 29,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"' \\\\left [ \\\\begin{array}{cccc} 0 & 0 & - e^{- z} & 0 \\\\\\\\ 0 & \\\\frac{u^{2} e^{4 z}}{2} & 0 & 0 \\\\\\\\ - e^{- z} & 0 & 12 e^{- 2 z} & u e^{- z} \\\\\\\\ 0 & 0 & u e^{- z} & \\\\frac{u^{2}}{2} \\\\end{array}\\\\right ] '"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"text/latex": [
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"$$\\left[\\begin{matrix}0 & 0 & - e^{- z} & 0\\\\0 & \\frac{u^{2} e^{4 z}}{2} & 0 & 0\\\\- e^{- z} & 0 & 12 e^{- 2 z} & u e^{- z}\\\\0 & 0 & u e^{- z} & \\frac{u^{2}}{2}\\end{matrix}\\right]$$"
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],
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"text/plain": [
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"None"
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]
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},
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"execution_count": 29,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"g4.g"
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]
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},
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{