Gravitational Effects of Quantum Fields in the Interior of a Cylindrical Black Hole

Abstract

The gravitational back-reaction is calculated for the conformally invariant scalar field within a black cosmic string interior with cosmological constant. Using the perturbed metric, the gravitational effects of the quantum field are calculated. It is found that the perturbations initially strengthen the singularity. This effect is similar to the case of spherical symmetry (without cosmological constant). This indicates that the behaviour of quantum effects may be universal and not dependent on the geometry of the spacetime nor the presence of a non-zero cosmological constant.

13 pages, 1 figure, uses AMS package. D.E. solution corrected. Some qualitative results are changed

References in corpus (8)

• Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
• Formation of Topological Black holes from Gravitational Collapse
• Semiclassical effects in black hole interiors
• Gravitational collapse to toroidal, cylindrical and planar black holes
• Quantum fluctuation of stress tensor and black holes in three dimensions
• Vacuum polarization around a three-dimensional black hole
• Vacuum polarization near asymptotically anti-de Sitter black holes in odd dimensions
• Evaporation of Three Dimensional Black Hole in Quantum Gravity

Cited by in corpus (6)

• Magnetic strings in anti-de Sitter General Relativity
• Quantization of massive scalar fields over static black string backgrounds
• Vacuum polarization of massive spinor fields in static black-string backgrounds
• Twist decomposition of proton structure from BFKL and BK amplitudes
• Vacuum currents in partially compactified Rindler spacetime with an application to cylindrical black holes
• Quantum stress tensor for massive vector field in the space-time of a cylindrical black hole