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Modeling general relativistic perfect fluids in field-theoretic language

机译:用场论语言对广义相对论完美流体建模

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Skew-symmetric massless fields, their potentials being r-forms, are close analogues of Maxwell's field (though the nonlinear cases also should be considered). We observe that only two of them (r = 2 and 3) automatically yield stress-energy tensors characteristic of normal perfect fluids. It is shown that they naturally describe both nonrotating (r = 2) and rotating general relativistic perfect fluids (then a combination of r = 2 and r = 3 fields is indispensable) and possess every type of equation of state. Meanwhile, a free r = 3 field is completely equivalent to the appearance of the cosmological term in Einstein's equations. Sound waves represent perturbations propagating on the background of the r = 2 field. Some exotic properties of these two fields are outlined. [References: 23]
机译:斜对称无质量场,其势能为r形式,与麦克斯韦场非常相似(尽管也应考虑非线性情况)。我们观察到只有其中两个(r = 2和3)会自动产生正常完美流体的应力能张量。结果表明,它们自然地描述了非旋转(r = 2)和旋转的广义相对论完美流体(然后,r = 2和r = 3场的组合是必不可少的),并且具有每种状态方程。同时,自由r = 3场完全等同于爱因斯坦方程中宇宙学术语的出现。声波表示在r = 2场的背景上传播的扰动。概述了这两个字段的一些奇特特性。 [参考:23]

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