Kaloper Nemanja
Department of Physics, University of California, Davis, CA 95616, USA.
Phys Rev Lett. 2005 May 13;94(18):181601. doi: 10.1103/PhysRevLett.94.181601. Epub 2005 May 9.
We construct exact gravitational field solutions for a relativistic particle localized on a tensional brane in brane-induced gravity. They are a generalization of gravitational shock waves in 4D de Sitter space. We provide the metrics for both the normal branch and the self-inflating branch Dvali-Gabadadze-Porrati brane worlds, and compare them to the 4D Einstein gravity solution and to the case when gravity resides only in the 5D bulk, without any brane-localized curvature terms. At short distances the wave profile looks the same as in four dimensions. The corrections appear only far from the source, where they differ from the long distance corrections in 4D de Sitter space. We also discover a new nonperturbative channel for energy emission into the bulk from the self-inflating [corrected] branch, when gravity is modified at the de Sitter radius.
我们构建了膜诱导引力中位于张性膜上的相对论粒子的精确引力场解。它们是4维德西特空间中引力冲击波的推广。我们给出了正常分支和自膨胀分支的德瓦利 - 加巴达泽 - 波拉蒂膜世界的度规，并将它们与4维爱因斯坦引力解以及引力仅存在于5维体空间且没有任何膜局域曲率项的情况进行比较。在短距离处，波剖面看起来与4维时相同。修正仅在远离源的地方出现，在那里它们与4维德西特空间中的长距离修正不同。我们还发现了一个新的非微扰通道，当在德西特半径处修改引力时，能量会从自膨胀[修正]分支发射到体空间中。
