A variant of Semiclassical Gravity is outlined that differs in some interesting ways from the more familiar approach. It extends earlier work in which the renormalization of the stress-energy tensor is replaced by a different protocol. Creation and annihilation operators are assigned their roles based on the behavior of the normal modes making up the solution within an asymptotically simple region in cases where such exist. The question of Rindler particles and Unruh-DeWitt detectors is discussed. Particular attention is paid to the behavior of an Unruh-DeWitt detector that holds stationary outside an eternal black hole. A conjecture is offered to the effect that the positive frequency Wightman function, D+(x, x'), is always to be given by (-1/4 Pi^2) (geodesic distance between x and x')^-2. This assumption allows us to solve the black hole problem numerically. Particles are, in fact, detected and their power spectrum is compared to those seen by rotating and linearly accelerating detectors. This matter is discussed in the context of the Equivalence Principle.