论文标题
无穷大的重力辐射具有非阴性宇宙常数
Gravitational radiation at infinity with non-negative cosmological constant
论文作者
论文摘要
在存在非负宇宙常数$λ\ geq 0 $的情况下，解决了到达无效无穷大的重力辐射的存在 - 即逃离物理系统。消失的$λ$的案例已被充分理解，并依赖于无穷大定义的新闻张量字段（或新闻功能）的属性。当$λ> 0 $没有已知的“新闻”概念具有类似良好属性的情况下，情况大不相同。在本文中，从{\ em tidal}的角度共同考虑了两种情况，也就是说，考虑到曲率张量的强度（或能量）。在{\ em渐近（radiant）supermomentum}中用于该目的的基本对象，这是一种在无穷大的属性下定义的因果矢量。这导致对重力辐射的新颖特征，适用于$λ\ geq 0 $有效期，这已被证明是等效的，当$λ= 0 $与标准的新闻相等。当$λ> 0 $时，对此结果的含义进行了详细的分析。描绘了$λ> 0 $时，构造“新闻张量”的一般程序，提供的渐近对称性提案，以及可以检测到无穷大的引力辐射的保守电荷的示例。列出了一系列说明性示例。
The existence of gravitational radiation arriving at null infinity -- i.e. escaping from the physical system -- is addressed in the presence of a non-negative cosmological constant $Λ\geq 0$. The case with vanishing $Λ$ is well understood and relies on the properties of the News tensor field (or the News function) defined at infinity. The situation is drastically different when $Λ>0$ where there is no known notion of `News' with similar good properties. In this paper both situations are considered jointly from a {\em tidal} point of view, that is, taking into account the strength (or energy) of the curvature tensors. The fundamental object used for that purposes in the {\em asymptotic (radiant) super-momentum}, a causal vector defined at infinity with remarkable properties. This leads to a novel characterization of gravitational radiation valid for the general case with $Λ\geq 0$ that has been proven to be equivalent, when $Λ=0$, to the standard one based on News. The implications of this result are analyzed in some detail when $Λ>0$. A general procedure to construct `news tensors' when $Λ>0$ is depicted, a proposal for asymptotic symmetries provided, and an example of a conserved charge that may detect gravitational radiation at infinity exhibited. A series of illustrative examples is listed.
