The Quantum Stress Tensor in the Three Dimensional Black Hole

Details The Quantum Stress Tensor in the Three Dimensional Black Hole The Quantum Stress Tensor in the Three Dimensional Black Hole

1993-08-27

arxiv.org/abs/gr-qc/9308032v2

Phys.Rev.D49:585-589,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, harvmac macro, DAMTP93/R20 (The choice of boundary condition on the Greens function is explained, the references are

Scientific paper

10.1103/PhysRevD.49.585

The quantum stress tensor $$ is calculated in the 2+1 dimensional black hole found by Banados, Teitelboim, and Zanelli. The Greens function, from which $ $ is derived, is obtained by the method of images. For the non-rotating black hole, it is shown that $$ is finite on the event horizon, but diverges at the singularity. For the rotating solution, the stress tensor is finite at the outer horizon, but diverges near the inner horizon. This suggests that the inner horizon is quantum mechanically unstable against the formation of a singularity.

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