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arXiv 1702.08362gr-qc
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$λ$ -R模型的球对称解

Spherically symmetric solutions of the $λ$-R model

Renate Loll, Luis Pires

摘要:

我们导出了经典λ-R模型的球对称解,λ-R模型是广义相对论的最小各向异性修正,具有一个择优叶理和两个局部自由度。从一个3 + 1分解的四度规在一个一般的球对称矩阵,我们进行了相空间分析的简化模型。我们证明了它的约束代数与全λ-R模型的约束代数是一致的,并且给出了一个常平均曲率或最大切片条件作为三级约束.虽然这些解包含广义相对论性值λ= 1或平均外曲率K为零的标准史瓦西几何,但它们一般是非静态的,与渐近平坦性不相容,并且不仅由守恒质量参数化。我们通过显式计算表明,四维Ricci标量的解决方案是在一般的时间依赖性和非零。

英文摘要:

We derive spherically symmetric solutions of the classical λ-R model, a minimal, anisotropic modification of general relativity with a preferred foliation and two local degrees of freedom. Starting from a 3 + 1 decomposition of the four-metric in a general spherically symmetric ansatz, we perform a phase space analysis of the reduced model. We show that its constraint algebra is consistent with that of the full λ-R model, and also yields a constant mean curvature or maximal slicing condition as a tertiary constraint. Although the solutions contain the standard Schwarzschild geometry for the general relativistic value λ= 1 or for vanishing mean extrinsic curvature K, they are in general non-static, incompatible with asymptotic flatness and parametrized not only by a conserved mass. We show by explicit computation that the four-dimensional Ricci scalar of the solutions is in general time-dependent and nonvanishing.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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