Single positive electric charge in a closed universe

[Dmitry67]

Say, all objects in a closed Universe are neutral, and there is only 1 (unbalanced) positive charge.

Lines of an electric field started on a positive charge can end only on the negative charge or they go into infinity. But in a closed universe there are no negative charges nor they can go into infinity.

I am puzzled.

 

[Mentz114]

That seems to exclude the possibility of such a cosmos in a classical framework.

But if the cosmos has a polarizable vacuum and the topology of a spherical surface, then (I would speculate) the polarization would create a charge of opposite sign at the antipodian point.

 

[Dmitry67]

What about the magnetic field?

Even if such universe is static (matter is delicately balanced with the dark energy) space is curved. Intuitively, 2 points in different places of a curved space do not belong to the same inertial system. So an observer on some distance from a charge would observe not only electric but also magnetic field?

Can that magnetic field create an electric field which cancels the original one?

 

[Mentz114]

A magnetic field cannot create an electric field. All it can be is a velocity dependent potential for a charged particle. And since there is only the one there is no way to detect it in any case.

 

[Dmitry67]

Changing magnetic field can create an electric field.

 

[bcrowell]

Say, all objects in a closed Universe are neutral, and there is only 1 (unbalanced) positive charge.

Lines of an electric field started on a positive charge can end only on the negative charge or they go into infinity. But in a closed universe there are no negative charges nor they can go into infinity.

I am puzzled.

There is a good discussion of this on p. 457 of MTW.