考慮一個具有SL(4,R)對稱性的五維理論，其中包含重力場、一個純量場及一個三階向量場，我們提出保持時空漸近平直的對稱轉換所必須滿足的條件，統整出在不同座標描述的平直時空中，滿足該條件的所有轉換。這篇論文主要針對以下三種不同時空結構做討論：Kaluza-Klein黑洞、五維的黑洞和black ring，我們詳細列出所有滿足漸近平直條件的對稱轉換，並且討論這些轉換所代表的物理意義，其中部分轉換可以給出帶有電荷的解。 We give a systematic method to determine the asymptotic flatness preserving transformations in the three-dimensional SL(4,R)/SO(2, 2) sigma-model arising from a five-dimensional gravity coupled to a dilaton and a three-form field. The permitted transformations depend on the coordinate choices. By focusing on three cases, namely the Kaluza-Klein black hole, five-dimensional black hole and black ring, we find out all possible asymptotic flatness preserving transformations and apply them to generate charge from single rotating vacuum solutions.
