Can someone help me on this: Hawking Bernstein radiation can cause a BH to evaporate. The second law of BH dynamics says that the area of the event horizon cannot decrease. Isn't this a contradiction? Also when considering the size of the event horizon, is it different depending on wheather one is in free fall or static. Finally is it ok to use PI to calculate spherical area in heavily warped space? If the answers involve Killing Vectors, I'll need help with those as well.