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arXiv 0905.3804gr-qc
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手征场支撑的虫洞

Wormholes supported by chiral fields

K. A. Bronnikov, S. V. Chervon, S. V. Sushkov

摘要:

我们考虑静态的、球对称的广义相对论解,它以非线性西格玛模型(NSM)为源,即,- 一组标量场$Φ= (Φ^1,...,Φ^n)$(所谓的手性场),其利用度量$h_{ab}(Φ)$来参数化目标空间。对于具有零势$V(Φ)$的NSM,我们证明了时空几何与单个标量场相同,但依赖于$h_{ab}$。如果矩阵$h_{ab}$是正定的,我们得到的Fisher度规,最初发现一个规范的标量场与正动能;否则,我们得到的度量对应的幻影标量场,包括奇异和非奇异的视野(无限区域)和虫洞。特别地,史瓦西度规可以对应于一个非平凡的手征场配置,在这种情况下,它具有零应力能量。一些明确的手征场配置的例子被认为是。指出了非零势NSM组态的一些定性性质。

英文摘要:

We consider static, spherically symmetric solutions of general relativity with a nonlinear sigma model (NSM) as a source, i.e., a set of scalar fields $Φ= (Φ^1,...,Φ^n)$ (so-called chiral fields) parametrizing a target space with a metric $h_{ab}(Φ)$. For NSM with zero potential $V(Φ)$, it is shown that the space-time geometry is the same as with a single scalar field but depends on $h_{ab}$. If the matrix $h_{ab}$ is positive-definite, we obtain the Fisher metric, originally found for a canonical scalar field with positive kinetic energy; otherwise we obtain metrics corresponding to a phantom scalar field, including singular and nonsingular horizons (of infinite area) and wormholes. In particular, the Schwarzschild metric can correspond to a nontrivial chiral field configuration, which in this case has zero stress-energy. Some explicit examples of chiral field configurations are considered. Some qualitative properties of NSM configurations with nonzero potentials are pointed out.

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