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Gravitational Radiation at Infinity with Non-Negative Cosmological Constant
Universe ( IF 2.5 ) Pub Date : 2022-09-12 , DOI: 10.3390/universe8090478 José M. M. Senovilla
Universe ( IF 2.5 ) Pub Date : 2022-09-12 , DOI: 10.3390/universe8090478 José M. M. Senovilla
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 . The case with vanishing is well understood and relies on the properties of the News tensor field (or the News function) defined at . The situation is drastically different when , where there is no known notion of `News’ with similar good properties. In this paper, both situations are considered jointly from a tidal point of view, that is, taking into account the strength (or energy) of the curvature tensors. The fundamental object used for this purposes is the 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 , which has been proven to be equivalent when to the standard one based on News. Here, the implications of this result when are analyzed in detail. A general procedure to construct `News tensors’ when is depicted, a proposal for asymptotic symmetries is provided, and an example of a conserved charge that may detect gravitational radiation at is exhibited. A series of illustrative examples is listed as well.
中文翻译:
具有非负宇宙学常数的无限远引力辐射
到达零无穷处的引力辐射的存在 ,即逃离物理系统,是在存在非负宇宙学常数的情况下解决的 . 消失的情况 很好理解并依赖于定义的新闻张量场(或新闻函数)的属性 . 情况大不相同,当 ,其中没有具有类似良好属性的“新闻”的已知概念。本文从潮汐的角度综合考虑这两种情况,即考虑曲率张量的强度(或能量)。用于此目的的基本对象是渐近(辐射)超动量,一个定义在无穷远处的具有显着特性的因果向量。这导致了引力辐射的新表征,适用于一般情况 ,这已被证明是等价的,当 到基于新闻的标准。在这里,这个结果的含义是 进行了详细分析。构建“新闻张量”的一般程序 描述了一个渐近对称性的建议,以及一个可以检测引力辐射的守恒电荷的例子 被展出。还列出了一系列说明性示例。
更新日期:2022-09-12
中文翻译:
具有非负宇宙学常数的无限远引力辐射
到达零无穷处的引力辐射的存在