[Python] Use numpy meshgrid for only 2 out of 3 variables

I have the following variables:

centers = np.array([(2.78568, 0.0000), (4.32842, -0.775169), (7.43238, -1.000000)])
ts = np.array([0.1, 0.2, 0.3])


and I want a meshgrid where each of the tuples in centers are always paired together, but they are meshed with ts. i.e., I want the following output:

sigma tau t
2.78568 0.000000 0.1
4.32842 -0.775169 0.1
7.43238 -1.000000 0.1
2.78568 0.000000 0.2
4.32842 -0.775169 0.2
7.43238 -1.000000 0.2
2.78568 0.000000 0.3
4.32842 -0.775169 0.3
7.43238 -1.000000 0.3

I tried this but there has to be a better way to do it?

sigmas, taus = centers[:,0], centers[:,1]
_inputs = np.array(np.meshgrid(taus, ts)).reshape(2,9).T
inputs = np.append(np.zeros((9,1)), _inputs, 1)
for input in inputs:
center = centers[np.where(centers[:,1]==input[1])]
input[0:2] = center


I've tried a few combinations of arguments to meshgrid but haven't achieved what I want. Can someone help?

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