As Bob indicates above, if you are comfortable with your understanding of electricity, you could do a spec comparison and try to establish if the electrical properties of your new battery are the same as your old one, and that the new one is compatible with your new charger.
I have done this spec comparison for things like power supplies for laptops or chargers for other electronics before.
That being said, I typically do this when I have gone on travel and have forgotten a charger that I needed. I charge the mis-matched device once just to do whatever I need to do and then if the battery runs out again, I just leave it.
My personal feeling is that it is not worth voiding the warranty, especially on a brand new device, to start running it against a different charger. Of course, that is assuming an honest consumer, who will admit that they were using a different charger and battery.
Again, the last thing I would do with a $250 camera I just bought is immediately start pairing it up with equipment that the instructions and warning label specifically say not to use with it. I would think that you received a wall charger for the battery that came with it. A spare battery for this camera from Nikon is $38 direct from Nikon, and I found other deals online for as low as $35 for two battery packs.
I would certainly follow one of these low-cost routes before I hooked the battery up to a charger for a Canon battery, or threw a Canon battery into my Nikon camera.