Is The Duration Of The Solar Eclipse Possible.
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The location and composition of the Black Disk, are keys to the duration of the Solar Eclipse. The  Duration of Totality lasts about 4 minutes for a ground observer, but in a suitable aircraft they can be viewed for a greatly extended Duration.
The Duration  Of  A Concentric Corona  Is Impossible
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If the Moon and Sun are virtually the same diameter from our  perspective, then totality should last only a few seconds from a stationary viewpoint, and perhaps a few milliseconds from the ground.

How is it possible for the Moon to completely conceal the Sun for several minutes. The answer is, of course, that it is not possible. But it is possible for a Black Disk in the atmosphere to completely conceal both the Sun and the Moon for the required Duration.

This can be explained in the way we draw a Solar Eclipse. Using sight lines, or light lines, does appear to work, but may be entirely incorrect. We need to draw the Solar Eclipse in a "totally" different manner.

Draw a line representing the Earth and mark an area for the Umbra.. From each side of the Umbra, draw a line to the center of the Sun. Next mark out the larger Penumbra area, and draw lines from the outer edges to the center of the Sun. Now draw the Moon between the Penumbra lines. 

What we now have is a picture of radiation from the Sun (Solar Wind ? Gravity Waves ?)  It is the Moon disturbing this radiation which is the cause of our Solar Eclipse. The outer  part of the Moon is able to partially disturb this radiation, giving rise to a partial disruption of the Earth's created light, or Penumbra.

The total disruption, or Umbra, is caused by the Moon's core area. And yes, it takes an extended period for the core to pass across in front of the Sun. Or about 4 minutes from a ground perspective. Exactly the time we allocate for the Duration.

All this gives the impression that whatever is at the Moon's core stops a gravititational field completely. This is likely to be correct regarding any planet or sun.

There are many "coincidences" with the orbit and distances of the Moon. The fact that the Umbra can be drawn in two quite different ways is just another of these.

The Duration  Of  A Concentric Corona  Is Impossible