Investigation of Quantum Effects in the Interiors of Two Dimensional Black Holes

Quantum effects due to a massless quantized scalar field in the interiors of black holes are investigated. The first portion of this research concerns eternal black holes in two dimensions where two important states in Schwarzschild spacetime are considered: the Boulware, or vacuum state, and the Unruh state, which mimics black hole evaporation. To analyze the quantum effects, the vacuum polarization 〈ϕ(x)^2〉 is calculated for each state. The quantities are analyzed in the region between the event horizon and the singularity (the interior region). The second portion of this research concerns a black hole that forms from the collapse of a massless shell of radiation. The quantity 〈ϕ(x)^2〉 is computed in two dimensions for this collapsing shell spacetime in the in vacuum state. The third portion of this research involves comparing the quantity 〈ϕ(x)^2〉 and the stress energy tensor of the field 〈Tab〉 for the Unruh state and the in vacuum state for the collapsing shell spacetime throughout the interior region. This comparison analyzes how well the Unruh state approximates quantum effects in the interior of a black hole that forms from collapse.