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首页> 外文期刊>International journal of modern physics, D. Gravitation, astrophysics, cosmology >Family of rotating anisotropic fluid solutions which match to Kerr's solution
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Family of rotating anisotropic fluid solutions which match to Kerr's solution

机译：与Kerr解决方案相匹配的旋转各向异性流体解决方案系列

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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 $R-mu^u$ 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 have 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.
机译：我们提出了一系列精确的旋转各向异性流体解决方案，这些解决方案满足其某些参数值的所有能量条件。明确给出了解的Ricci张量R_（μν）的成分，张量$ R- mu ^ nu $的特征值和能量动量张量T _（μν）。家庭中的所有成员都具有Kerr解的环奇点，并且大多数人还具有一两个奇点。该解可以与三个闭合表面上的Kerr的解匹配，这对于解的参数的正确值近似为扁球形。所有匹配的表面都是薄壳。对于某些常数值，其中之一的表面密度在各处都是正的，并且在该表面及其内部，所有能量条件都得到满足。

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