Vacuum polarization of massive spinor fields in static black-string backgrounds

Abstract

The renormalized mean value of the quantum Lagrangian and the corresponding components of the Energy-Momentum tensor for massive spinor fields coupled to an arbitrary gravitational field configuration having cylindrical symmetry are analytically evaluated using the Schwinger-DeWitt approximation, up to second order in the inverse mass value. The general results are employed to explicitly derive compact analytical expressions for the quantum mean Lagrangian and Energy- Momentum tensor in the particular background of the Black-String space-time.

15 pages, few corrections are done in this version

References in corpus (10)

• Rotating Charged Black Strings in General Relativity
• Massless Minimally Coupled Fields in De Sitter Space: O(4)-Symmetric States Versus De Sitter Invariant Vacuum
• Semiclassical Stability of the Extreme Reissner-Nordstrom Black Hole
• Vacuum Polarization of Massless Spinor Field in Global Monopole Spacetime
• Stress-energy tensor of neutral massive fields in the Reissner-Nordstrom spacetime
• Vacuum polarization of massive scalar fields in the spacetime of the electrically charged nonlinear black hole
• Irreducible forms for the metric variations of the action terms of sixth-order gravity and approximated stress-energy tensor
• $<{\varphi }^2>$ in the Spacetime of a Cylindrical Black Hole
• Quantization of massive scalar fields over static black string backgrounds
• Gravitational Effects of Quantum Fields in the Interior of a Cylindrical Black Hole

Cited by in corpus (7)

• DeWitt-Schwinger Renormalization and Vacuum Polarization in d Dimensions
• Vacuum polarization effects on quasinormal modes in electrically charged black hole spacetimes
• Developments in Black Hole Research: Classical, Semi-classical, and Quantum
• Vacuum polarization of the quantized massive scalar field in the global monopole spacetime II: the renormalized quantum stress energy tensor
• Quasinormal modes of semiclassical electrically charged black holes
• Quantum stress tensor for massive vector field in the space-time of a cylindrical black hole
• Vacuum polarization of the quantized massive scalar field in the global monopole spacetime I: the field fluctuation