论文标题

damour-solodukhin蠕虫的时空中量化场的应力能量

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

论文作者

Matyjasek, Jerzy

论文摘要

静态遍历的虫洞应由某种符合莫里斯 - thorne条件的异国情调的物质制成。尽管具有异国情调的区域的特征大小可以使任意较小,但迄今为止执行的计算表明,莫里斯 - thorne条件非常限制,很难找到所需特性的物质。传统上,量化的领域被认为是最好的候选者,因为它们可以违反弱能量状况。在本文中,我们采用Schwinger-Dewitt扩展来构建和检查量化大型标量(具有任意曲率偶联),旋转器和矢量场的近似应力能量张量。我们发现,对于标量场,参数空间中有一个区域,其中应力能量张量具有所需的属性。这意味着仅在四种情况下(对于参数的某些值),应力 - 能量张量才能满足莫里斯 - thorne条件,仅在四种情况下(对于某些情况下)考虑到迄今为止的二十一种情况(蠕虫几何形状的七种类型和三种类型的大规模领域)。

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.

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