I believe I was the first one to ever take a Solo Battery apart, and I also started designing an aftermarket case for 3rd party batteries, that you can be used on the Solo. Head over to the 3DR Solo Owners thread (or not, as it is one of the worst Owner threads on Earth, ha ha) and look in the first post. There are plenty of pictures posted of how the battery looks taken apart.
The battery charger that comes with the Solo is nothing but a Power Supply. Just like you have on your Laptop. 16.8V rated at 3.3 Amps. The battery has a charger and balancer build in, so all you have to do is supply power.
Take a look at the attached pictures. I just took some cable with banana plugs already installed on one end, and the other end was just tinned with solder. I then took some pliers and "flattened" the end with the solder... Now the cables fit nicely into the Solo battery.
Set you charger to LiPo, 4s 5200 mAh, 5.2A and turn balancing off. DONE. Now you Solo battery will charge way faster than when using the charger it comes with...
Thanks.
EDIT: The one pictures shows the "naked" cells of the Solo battery that I cracked open. On both pictures showing the charger, look on the right side of the display. Port 2. Once you see the voltage of the pack, and the second picture shows the settings of the charger...