These are bars 56–59 in Patrik Pietschmann's arrangement of Hans Zimmer's "Interstellar Main Theme"
How does one deal with the Es that appear in both staves?
The first two bars I can play by holding the LH's E and releasing it to play the RH's one, and then hitting it again (so that the left hand ends up playing three sequences of an eighth note and an eighth note rest) This sounds nice, and is the approach suggested by answers to this question A well known example of this is the first Gymnopédie
For the next two bars, though, that does not really work, as far as I can tell.

