This effect called "Dark corner" or vignetting in purpose to create more focus
on the center ...
there is 2 way to make that effect :
1. PHOTOSHOP POST PROCESSING !!! ( I know you dont want this)
2. in DSLR it is very easy, I just apply a special filter or stack up couple
filters to do this.
In your case, you can try this :
use a black piece of thick paper, and make a small hole in the middle of it
and make sure the circle is slight smaller than the lens size ...
and use it to wrap around your camera when taking photo ...
it need to be adjusted since lens come in and out I think in your case ...
But I still recommend you do photoshop or get a DSLR with a lens system.