Quantum Fluctuations and Curvature Singularities in Jackiw-Teitelboim Gravity
arXiv:hep-th/9303176 · doi:10.1103/PhysRevD.48.4693
Abstract
The Jackiw-Teitelboim gravity with the matter degrees of freedom is considered. The classical model is exactly solvable and its solutions describe non-trivial gravitational scattering of matter wave-packets. For huge amount of the solutions the scattering space-times are free of curvature singularities. However, the quantum corrections to the field equations inevitably cause the formation of (thunderbolt) curvature singularities, vanishing only in the limit . The singularities cut the space-time and disallow propagation to the future.The model is inspired by the dimensional reduction of 4-d pure Einstein gravity, restricted to the space-times with two commuting space-like Killing vectors. The matter degrees of freedom also stem from the 4-d ansatz. The measures for the continual integrations are judiciously chosen and one loop contributions (including the graviton and the dilaton ones) are evaluated. For the number of the matter fields we obtain even the exact effective action, applying the DDK-procedure. The effective action is nonlocal, but the semiclassical equations can be solved by using some theory of the Hankel transformations.
32 pages, LaTeX, PRA-HEP-93/3
References in corpus (16)
- Evanescent Black Holes
- Gravity in Non-Commutative Geometry
- Are Horned Particles the Climax of Hawking Evaporation?
- Liouville Models of Black Hole Evaporation
- Evaporation of Two Dimensional Black Holes
- Semiclassical Extremal Blackholes
- Dynamics of Extremal Black Holes
- Hawking Radiation and Back-Reaction
- Fadeev-Popov Ghosts and 1+1 Dimensional Black Hole Evaporation
- Black Hole Physics from Liouville Theory
- Quantum Black Holes
- Naked and Thunderbolt Singularities in Black Hole Evaporation
- A Unitary S-matrix for 2D Black Hole Formation and Evaporation
- Quantum Theory of Dilaton Gravity in 1+1 Dimensions
- Two Dimensional Quantum Gravity Coupled to Matter
- D=3: Singularities in Gravitational Scattering of Scalar Waves