Linearized gravity in brane backgrounds
Linearized gravity in brane backgrounds
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DOI：
10.1088/1126-6708/2000/03/023
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发表时间：
2000-02
影响因子：
5.4
通讯作者：
S. Giddings;E. Katz;L. Randall;L. Randall;L. Randall
中科院分区：
文献类型：
--
作者：
S. Giddings;E. Katz;L. Randall;L. Randall;L. Randall
给出了Randall-Sundrum背景下线性化重力的处理方法。用标量传播子来表示引力子传播子，并给出了标量传播子的显式积分表达式。这减少了沿膜长距离的四维传播子，并提供了次导修正的估计。膜外传播子的渐近性产生了由于膜上物质引起的引力场的指数衰减。这意味着绑定在膜上的黑洞在额外的维度上具有“煎饼”般的形状，并表明了膜外微扰处理的有效性。描述了与AdS/CFT对应关系的一些联系。
A treatment of linearized gravity is given in the Randall-Sundrum background. The graviton propagator is found in terms of the scalar propagator, for which an explicit integral expression is provided. This reduces to the four-dimensional propagator at long distances along the brane, and provides estimates of subleading corrections. Asymptotics of the propagator off the brane yields exponential falloff of gravitational fields due to matter on the brane. This implies that black holes bound to the brane have a ``pancake''-like shape in the extra dimension, and indicates validity of a perturbative treatment off the brane. Some connections with the AdS/CFT correspondence are described.