论文标题
昆特·迪克（Brans-Dicke
Kundt geometries and memory effects in the Brans-Dicke theory of gravity
论文作者
论文摘要
在最简单的标量调整理论Brans--Dicke（BD）理论中研究了记忆效应。为此，我们在BD理论中介绍了新颖的kundt SpaceTimes（没有和带有陀螺术语），这是随后对记忆进行分析的背景。 BD参数$ω$和标量字段（$ ϕ $）配置文件，预计会区分不同的解决方案。为自由度量功能选择特定的本地化表单$ h'（u）$（与Wave配置文件有关）和$ J（U）$（Gyraton），我们使用测量学和测量偏差获得位移存储器效应。当$ω= -2 $（与$ j（u）$缺失）时，会出现一个有趣且易于理解的情况，我们会详细讨论。对于其他$ω$（在$ j $的情况下），数值获得的测量学会导致位移内存的结果，这些内存似乎与从偏差分析中发现的质量匹配。因此，现在至少在理论上，在这种新的昆特几何形状的背景下，至少在理论上部分解决了BD理论中的记忆效应如何出现与GR对应物的问题。
Memory effects are studied in the simplest scalar-tensor theory, the Brans--Dicke (BD) theory. To this end, we introduce, in BD theory, novel Kundt spacetimes (without and with gyratonic terms), which serve as backgrounds for the ensuing analysis on memory. The BD parameter $ω$ and the scalar field ($ϕ$) profile, expectedly, distinguishes between different solutions. Choosing specific localised forms for the free metric functions $H'(u)$ (related to the wave profile) and $J(u)$ (the gyraton) we obtain displacement memory effects using both geodesics and geodesic deviation. An interesting and easy-to-understand exactly solvable case arises when $ω=-2$ (with $J(u)$ absent) which we discuss in detail. For other $ω$ (in the presence of $J$ or without), numerically obtained geodesics lead to results on displacement memory which appear to match qualitatively with those found from a deviation analysis. Thus, the issue of how memory effects in BD theory may arise and also differ from their GR counterparts, is now partially addressed, at least theoretically, within the context of this new class of Kundt geometries.
