Chamblin A, Gibbons GW
DAMTP, Silver Street, Cambridge, CB3 9EW, United Kingdom.
Phys Rev Lett. 2000 Feb 7;84(6):1090-3. doi: 10.1103/PhysRevLett.84.1090.
We show that smooth domain wall spacetimes supported by a scalar field separating two anti-de Sitter-like regions admit a single graviton bound state. Our analysis yields a fully nonlinear supergravity treatment of the Randall-Sundrum model. Our solutions describe a pp-wave propagating in the domain wall background spacetime. If the latter is a Bogomol'nyi-Prasad-Sommerfeld state, our solutions retain some supersymmetry. Nevertheless, the Kaluza-Klein modes generate " pp curvature" singularities in the bulk located where the horizon of the anti-de Sitter region would ordinarily be.
我们表明，由分隔两个类反德西特区域的标量场支持的光滑畴壁时空允许存在单个引力子束缚态。我们的分析给出了兰德尔 - 桑德鲁姆模型的完全非线性超引力处理。我们的解描述了在畴壁背景时空中传播的一个pp波。如果后者是一个博戈莫尔尼 - 普拉萨德 - 索末菲态，我们的解保留了一些超对称性。然而，卡鲁扎 - 克莱因模式在体中产生“pp曲率”奇点，其位置通常是反德西特区域的视界所在之处。
