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arXiv 1205.4113gr-qc
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与Kerr解匹配的旋转各向异性流体解族

Family Of Rotating Anisotropic Fluid Solutions which Match to Kerr's Solution

E. Kyriakopoulos

摘要:

我们提出了一个家庭的精确旋转各向异性流体的解决方案,满足所有的能量条件,其参数的某些值。明确给出了解的Ricci张量$R_{μν}$的分量、张量$R_μ^ν$的本征值和能量动量张量$T_{μν}$。族中的所有成员都有Kerr解的环奇点,而且大多数都有一个或两个以上的奇点。这些解可以与三个封闭曲面上的Kerr解相匹配,对于适当的参数值,这些封闭曲面近似于扁球体。所有匹配的表面都是薄壳。对于某些常数值,其中一个的表面密度处处为正,并且在该表面及其内部满足所有能量条件。

英文摘要:

We present a family of exact rotating anisotropic fluid solutions, which satisfy all energy conditions for certain values of their parameters. The components of the Ricci tensor $R_{μν}$ the eigenvalues of the tensor $R_μ^ν$ and the energy-momentum tensor $T_{μν}$ of the solutions are given explicitly. All members of the family have the ring singularity of Kerr's solution and most of them one or two more singularities. The solutions can be matched to the solution of Kerr on three closed surfaces, which for proper values of the parameters of the solutions approximate oblate spheroids. All matching surfaces are thin shells. For some values of a constant the surface density in one of them is positive everywhere and in this surface and in its interior all energy conditions are satisfied.

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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