BOULWARE STATE AND THE GENERALIZED 2ND-LAW OF THERMODYNAMICS

We show that the appropriate vacuum state for the interior of a box wi th reflecting walls being lowered adiabatically toward a Schwarzschild black hole is the Boulware state. This is concordant with the results of Unruh and Wald, who used a different approach to obtain the stress -energy inside the box, but does not agree with Li and Liu, who only c onsider the quantum state outside of the box.