标题： 跨时空的virial恒等式 显示英文标题

标题： Virial identities across the spacetime

摘要： 通过Derrick缩放论证得到的类似维里恒等式是研究广义相对论模型的强大且多功能的工具。 应用包括建立无定理/毛发定理和数值精度测试。 在存在视界（\textit{也称为}边界）的情况下，时空可以分为多个区域，每个区域都有其自身的恒等式。 到目前为止，这些恒等式仅在事件视界之外的区域中计算过；然而，添加一个正宇宙学常数会赋予一个额外的边界（宇宙学视界），其中介于后者和前者之间的区域特别值得关注。 在本信中，通过执行径向坐标变换，我们将Derrick的缩放论证推广到计算非渐近平坦时空中的维里恒等式\textit{贯穿整个}。 所开发的方法应用于整个Reissner-Nordstrom-de Sitter时空。 还找到了一种方便的规范，该规范使视界之间的恒等式的引力贡献简化。 显示英文摘要

摘要： Virial-like identities obtained through Derrick's scaling argument are powerful, multi-purpose tools to study general relativistic models. Applications comprise establishing no-go/hair theorems and numerical accuracy tests. In the presence of a horizon (\textit{aka} boundary), the spacetime can be divided into regions, each with its own identity. So far, such identities have only been computed in the region outside the event horizon; however, adding a positive cosmological constant endows an additional boundary (the cosmological horizon), with the region between the latter and the former of particular interest. In this letter, by performing a radial coordinate transformation, we generalise Derrick's scaling argument to compute virial identities \textit{across the whole} non-asymptotically flat spacetimes. The developed method is applied to the entire Reissner-Nordstrom-de Sitter spacetime. A convenient gauge that trivialises the gravitational contribution to the identity between horizons is also found.