标题： 相对论理想流体和非耗散弹性材料的静止系瞬时形式 显示英文标题

标题： The Rest-Frame Instant Form of Relativistic Perfect Fluids and of Non-Dissipative Elastic Materials

摘要： 对于具有状态方程$\rho = \rho (n,s)$的完美流体，Brown 给出了一种仅依赖于其拉格朗日坐标$\alpha^i(x)$的作用量原理，而无需克莱布希势。 在闵可夫斯基时空中的任意类空超曲面上进行重新表述后，给出了这些完美流体的Wigner协变静止参考系瞬时形式。 它们的哈密顿不变质量可以以闭合形式给出，适用于尘埃和光子气体。 给出了与四维引力耦合的作用量。 研究了完美流体在静止参考系Wigner超平面上的Dixon多极矩。 还表明，相同的形式主义可以应用于用拉格朗日坐标描述的非耗散相对论弹性材料。 显示英文摘要

摘要： For perfect fluids with equation of state $\rho = \rho (n,s)$, Brown gave an action principle depending only on their Lagrange coordinates $\alpha^i(x)$ without Clebsch potentials. After a reformulation on arbitrary spacelike hypersurfaces in Minkowski spacetime, the Wigner-covariant rest-frame instant form of these perfect fluids is given. Their Hamiltonian invariant mass can be given in closed form for the dust and the photon gas. The action for the coupling to tetrad gravity is given. Dixon's multipoles for the perfect fluids are studied on the rest-frame Wigner hyperplane. It is also shown that the same formalism can be applied to non-dissipative relativistic elastic materials described in terms of Lagrangian coordinates.