Is the stress finite at the centre of a spherical continuous charge distribution?

At the centre of a spherical continuous charge distribution with no external electric fields, the electric field is zero from symmetry arguments. But does the stress at the centre remain finite?

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Stress from what? From the electromagnatic field, or from the other stuff? –  Ron Maimon Jul 26 '12 at 1:46
@RonMaimon from the electric field of the charges acting on the centre. I thought someone might come up with a nice simple argument on the limiting process of $dr^3$ and how it affects the answer. –  Physiks lover Jul 26 '12 at 11:54

$$\sigma_{i j} \equiv \epsilon_0 \left(E_i E_j - \frac{1}{2} \delta_{ij} E^2\right) + \frac{1}{\mu_0} \left(B_i B_j - \frac{1}{2} \delta_{ij} B^2\right)$$
At a point where $\vec{E} = 0$, and given that this is an electrostatic situation so $\vec{B} = 0$, all components of the stress tensor will be zero.