The Quantum stress tensor in the three-dimensional black hole

Steif, Alan R.

doi:10.1103/PhysRevD.49.R585

The Quantum stress tensor in the three-dimensional black hole

Alan R. Steif
(
- Cambridge U.
)

Sep 3, 1993

9 pages

Published in:

Phys.Rev.D 49 (1994) 585-589

e-Print:

gr-qc/9308032 [gr-qc]

DOI:

10.1103/PhysRevD.49.R585

Report number:

DAMTP-R-93-20

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Abstract: (arXiv)

The quantum stress tensor

<T_{\mu\nu}>

is calculated in the 2+1 dimensional black hole found by Banados, Teitelboim, and Zanelli. The Greens function, from which

<T_{\mu\nu}>

is derived, is obtained by the method of images. For the non-rotating black hole, it is shown that

<T_{\mu\nu}>

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.

Note:

11 pages, harvmac macro, DAMTP93/R20 (The choice of boundary condition on the Greens function is explained, the references are expanded, and some typos are corrected.)

black hole
dimension: 3
tensor: energy-momentum
field theory: scalar
coupling: conformal
conformal: coupling
propagator
space-time: de Sitter
group theory: discrete

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