I would like to add some laws of physics to this issue, namely the the energy density of a LiPo battery.
The OEM battery is a 3.8V 1900mAh battery (7.22Wh), it measures 51 x 69 x 4.2 mm and weights 33 grams.
According to wikipedia, the enery to weight ratio of Li-ion is 100–265 W·h/kg, and the volume one is 250–730 W·h/L, which give us 8.75Wh and 10.79Wh, respectively.
As the battery does have additional components, a case, and rounded corners, you can see that the 7.22Wh isn't too far off from 8.75Wh.
A 2850mAh battery would have a 10.83 Watt hour rating.
So while the capacity itself is not impossible, it would be top of the line technology, which I very much doubt the 4$ cheapo would be.
If you actually want a bigger battery, you either have to pay premium, or actually get a physically bigger battery.
If it is twice as thick, you get a limit of 21.6Wh, or 5700mAh.
And then a top tip for all of you buying batteries; Buy from eBay, measure how much capacity it actually has, and if it isn't what you brought, they sent you a defective product and you can demand a replacement or your money back.
They might ask you to return it; usually the shipping cost is higher than the product itself.
If so, demand a partial refund for the 'missing' capacity.
Just make sure the that the description is clear and nowhere does it state 'manufacturer claimed capacity' or somesuch.