论文标题
加利利和卡洛利亚霍奇星星经营者
Galilean and Carrollian Hodge star operators
论文作者
论文摘要
标准Hodge Star操作员自然与度量张量（和方向）相关。它通常用来简单地写下物理方程，例如洛伦兹的空间。在Galilean（Carrollian）空间上，没有可用的（非单词）度量张量。因此，霍奇恒星的通常结构不起作用。在这里，我们提出了在Galilean（Carrollian）SpaceTime上的Hodge Star Operator的类似物。它们可以用来写下重要的物理方程，例如加利利（Carrollian）电动力学的方程。
The standard Hodge star operator is naturally associated with metric tensor (and orientation). It is routinely used to concisely write down physics equations on, say, Lorentzian spacetimes. On Galilean (Carrollian) spacetimes, there is no canonical (nonsingular) metric tensor available. So, the usual construction of the Hodge star does not work. Here we propose analogs of the Hodge star operator on Galilean (Carrollian) spacetimes. They may be used to write down important physics equations, e.g. equations of Galilean (Carrollian) electrodynamics.
