Stress-energy of the quantized fields in the spacetime of the Damour-Solodukhin wormhole

Abstract

The static traversable wormhole should made out of some type of exotic matter which satisfies the Morris-Thorne conditions. Although the characteristic size of the region with the exotic matter can be made arbitrary small, the calculations performed so far suggest that the Morris-Thorne conditions are quite restrictive and it is hard to find matter with the desired properties. Traditionally, the quantized fields are considered as the best candidates because they can violate the weak-energy condition. In this paper we employ the Schwinger-DeWitt expansion to construct and examine the approximate stress-energy tensor of the quantized massive scalar (with an arbitrary curvature coupling), spinor and vector field in the spacetime of the Damour-Solodukhin wormhole. We find that for the scalar field there is a region in a parameter space in which the stress-energy tensor has the desired properties. That means that of the twenty-one cases considered so far (the seven types of the wormhole geometries and the three types of the massive fields) only in the four cases (for certain values of the parameters) the stress-energy tensor does satisfy the Morris-Thorne conditions.

References in corpus (8)

• Wormholes as Black Hole Foils
• Black hole mimickers: regular versus singular behavior
• Self sustained phantom wormholes in semi-classical gravity
• Stress-energy tensor of the quantized massive fields in Schwarzschild-Tangherlini spacetimes. The back reaction
• Stress-energy tensor of quantized massive fields in static wormhole spacetimes
• Semiclassical Gravity in the Far Field Limit of Stars, Black Holes, and Wormholes
• Vacuum polarization of the quantized massive scalar field in the global monopole spacetime II: the renormalized quantum stress energy tensor
• Vacuum polarization of a massive scalar field in a wormhole spacetime

Cited by in corpus (4)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Traversable wormholes with double layer thin shells in quadratic gravity
• Accretion flows around exotic tidal wormholes I. Ray-tracing
• How appropriate are the gravitational entropy proposals for traversable wormholes?