Stress-energy of a quantized scalar field in static wormhole spacetimes

Abstract

An analytical approximation of $<T_{\mu \nu }>$ for a quantized scalar field in a static spherically symmetric spacetime with a topology $S^2\times R^2$ is obtained. The gravitational background is assumed slowly varying. The scalar field is assumed to be both massive and massless, with an arbitrary coupling $\xi$ to the scalar curvature and in a zero temperature vacuum state. It is demonstrated that for some values of curvature coupling the stress-energy has the properties needed to support the wormhole geometry.

21 pages, revtex

References in corpus (7)

• Scalar fields, energy conditions, and traversable wormholes
• Traversable wormholes from massless conformally coupled scalar fields
• Brans wormholes
• Stress-energy tensor of neutral massive fields in the Reissner-Nordstrom spacetime
• The Dimensional-Reduction Anomaly
• Vacuum polarization of a scalar field in wormhole spacetimes
• Analitical approximation of $<{\varphi }^2>$ for a massive scalar field in static spherically symmetric spacetimes

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• Exotic solutions in General Relativity: Traversable wormholes and 'warp drive' spacetimes
• Wormholes supported by the kink-like configuration of a scalar field
• Charged traversable wormholes supported by Casimir energy with and without GUP corrections
• Spherically symmetric wormhole solutions in a general anisotropic matter field
• Semiclassical and Quantum Field Theoretic Bounds for Traversable Lorentzian Stringy Wormholes
• Self-force on a scalar point charge in the long throat
• Analytical approximation of the stress-energy tensor of a quantized scalar field in static spherically symmetric spacetimes
• Semiclassical long throats of the wormholes
• Stress-energy tensor of quantized massive fields in static wormhole spacetimes
• Analytical approximation for $<{\varphi }^2>$ of a quantized scalar field in ultrastatic asymptotically flat spacetimes
• Stress-energy of the quantized fields in the spacetime of the Damour-Solodukhin wormhole
• Some Specific Wormhole Solutions in Extended $f(R,G,T)$ Gravity
• Vacuum polarization of a massive scalar field in a wormhole spacetime
• Quantum-corrected ultraextremal horizons and validity of WKB in massless limit
• Scalar self-force on static charge in a long throat
• Vacuum polarization of a quantized scalar field in the thermal state in a long throat