{ "cell_id" : 11589016112009228246, "cells" : [ { "cell_id" : 9654385100491360099, "cell_origin" : "client", "cell_type" : "input", "cells" : [ { "cell_id" : 9223372036854775812, "cell_origin" : "server", "cell_type" : "latex_view", "source" : "\\begin{dmath*}{}\\text{Attached property TableauSymmetry to~}g^{\\mu \\nu}.\\end{dmath*}" } ], "source" : "{t,r,\\phi,\\theta}::Coordinate;\n{\\mu,\\nu,\\rho,\\sigma,\\kappa}::Indices(position=fixed, values={t,r,\\phi,\\theta});\ng_{\\mu\\nu}::Metric;\ng^{\\mu\\nu}::InverseMetric;" }, { "cell_id" : 12571913938303989352, "cell_origin" : "client", "cell_type" : "input", "source" : "def metric():\n ret := { g_{t t} = -(1-2 M/r), \n g_{r r} = 1/(1-2 M/r), \n g_{\\theta \\theta} = r**2,\n g_{\\phi \\phi} = r**2 \\sin(\\theta)**2 \n };\n return ret" }, { "cell_id" : 17548331014027880039, "cell_origin" : "client", "cell_type" : "input", "source" : "" } ], "description" : "Cadabra JSON notebook format", "version" : 1 }