We consider uncharged fluids without any boost symmetry on an arbitrary curved background and classify all allowed transport coefficients up to first order in derivatives. We assume rota- tional symmetry and we use the entropy current formalism. The curved background geometry in the absence of boost symmetry is called absolute or Aristotelian spacetime. We present a closed-form expression for the energy-momentum tensor in Landau frame which splits into three parts: a dissipative (10), a hydrostatic non-dissipative (2) and a non-hydrostatic non- dissipative part (4), where in parenthesis we have indicated the number of allowed transport coefficients. The non-hydrostatic non-dissipative transport coefficients can be thought of as the generalization of coefficients that would vanish if we were to restrict to linearized perturba- tions and impose the Onsager relations. For the two hydrostatic and the four non-hydrostatic non-dissipative transport coefficients we present a Lagrangian description. Finally when we impose scale invariance, thus restricting to Lifshitz fluids, we find 7 dissipative, 1 hydrostatic and 2 non-hydrostatic non-dissipative transport coefficients.

中文翻译：

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非增压不变流体动力学

我们考虑在任意弯曲的背景下没有增压对称性的不带电流体，并在导数中将所有允许的传输系数分类为一阶。我们假设旋转对称，并使用熵电流形式主义。没有增强对称性的弯曲背景几何称为绝对时空或亚里士多德时空。我们为Landau框架中的能量动量张量提供了一个封闭形式的表达式，该表达式分为三个部分：耗散（10），静水非耗散（2）和非静水非耗散部分（4），其中在括号中，我们指出了允许的传输系数的数量。非静水非耗散输运系数可以看作是系数的泛化，如果我们要限制于线性扰动并施加Onsager关系，该系数将消失。对于两个静水和四个非静水非耗散输运系数，我们给出了拉格朗日描述。最后，当我们施加尺度不变性，从而限制为Lifshitz流体时，我们发现了7个耗散的，1个静水的和2个非静水的非耗散的传输系数。