python - Multiply a matrix and a tensor with symbolic entries using sympy -


i using sympy , module gravypy calculate quantities in general relativity (ricci tensor , scalar, christoffel symbols , on.)

i multiply matrix tensor, both symbolic entries, , simplify result each entry. have tried use 'tensorproduct' module sympy.physics.quantum, error:

sympy.core.sympify.sympifyerror: sympify of expression 'could not parse ''' failed, because of exception being raised: syntaxerror: invalid syntax (, line 1)

the full code following:

from sympy import * sympy.physics.quantum import tensorproduct gravipy import * import csv  t, r, theta, phi = symbols('t, r, \\theta, \phi') x = coordinates('\chi', [t, r, theta, phi]) #defining coordinates  m=symbols('m') #m mass  metrics = diag(-(1-2*m/r), 1/(1-2*m/r), r**2, r**2*sin(theta)**2) metrics_inv = metrics.inv() gs = metrictensor('g', x, metrics) gs_inv = metrictensor('g_inv', x, metrics_inv) #defining metric tensor gs (that 4x4 matrix) , inverse gs_inv  ga = christoffel('ga', gs) #calculating christoffel symbols, 4x4x4 matrices  print(ga(all,all,all)) ga2k= tensorproduct(gs_inv,ga) #trying calculate product of metric , christoffel symbols

one thing notice module gravypy distinguishes between covariant , controvariant tensors.

any idea why can't use tensorproduct, , possible alternatives? new python.


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