Quantization of massive scalar fields over static black string backgrounds

Abstract

The renormalized mean value of the corresponding components of the Energy-Momentum tensor for massive scalar 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 Energy-Momentum tensor in the particular background of the Black-String spacetime. In the case of the Black String considered in this work, we proof that a violation of the weak energy condition occur at the horizon of the space-time for values of the coupling constant, that include as particular cases the most interesting of minimal and conformal coupling.

4 pages

References in corpus (8)

• 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
• $<{\varphi }^2>$ in the Spacetime of a Cylindrical Black Hole
• Gravitational Effects of Quantum Fields in the Interior of a Cylindrical Black Hole

Cited by in corpus (9)

• Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension
• Irreducible forms for the metric variations of the action terms of sixth-order gravity and approximated stress-energy tensor
• Vacuum polarization effects on quasinormal modes in electrically charged black hole spacetimes
• Vacuum polarization of massive spinor fields in static black-string backgrounds
• Renormalized stress tensor for massive fields in Kerr-Newman spacetime
• 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