It's not that simple. Wood arrows are spined with a 2# weight with balance posts 26 inches apart. Easton's method of spining carbon uses a 1.93# weight and support posts 28 inches apart. The latter gives a lighter reading. According to a chart I have that I got off the internet a while back from Ranger Archery.com, a 48# spine yields a .54 deflection using the 2# weight and .66 using the Easton method. A .500 spine using the Easton method equals about 63#
In short, it suggests you should be going with a .600 shaft in carbon or even lighter. That being said, there are a lot of other factors involved. If you have some .500s, give them a try. They might work. May need to add a little more weight up front.