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arXiv 0906.2837gr-qc
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引力dS规范理论模型中的有挠De Sitter时空

De Sitter spacetimes with torsion in the model of dS gauge theory of gravity

Chao-Guang Huang, Meng-Sen Ma

摘要:

在de Sitter引力规范理论模型中,具有常曲率标量和非零均匀各向同性挠率的空的均匀各向同性时空必须具有de Sitter度量.具有静态O(3)对称向量挠率的静态de Sitter时空是唯一具有$g_{μν}={\rm diag}(A^2(r),-B^2(r),-r^2,-r^2\sin^2þ)$形式度规的球对称真空解。给出了不同de Sitter时空的挠率表达式。它们彼此不同。研究了具有挠率的不同de Sitter时空的性质。

英文摘要:

In the model of de Sitter gauge theory of gravity, the empty homogenous and isotropic spacetimes with constant curvature scalar and nonvanishing homogenous and isotropic torsion must have de Sitter metrics. The static de Sitter spacetime with static, O(3)-symmetric, vector torsion is the only spherically symmetric, vacuum solution with the metric of the form $g_{μν}={\rm diag}(A^2(r),-B^2(r),-r^2,-r^2\sin^2þ)$. The expressions of the torsion for different de Sitter spacetimes are presented. They are different from one to another. The properties of different de Sitter spacetimes with torsion are also studied.

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