Garriga J, Tanaka T
IFAE, Departament de Fisica, Universitat Autonoma de Barcelona, 08193 Bellaterra, Barcelona, Spain and Isaac Newton Institute, University of Cambridge, 20 Clarkson Road, Cambridge, CB3 0EH, United Kingdom.
Phys Rev Lett. 2000 Mar 27;84(13):2778-81. doi: 10.1103/PhysRevLett.84.2778.
We discuss the weak gravitational field created by isolated matter sources in the Randall-Sundrum brane world. For the case of a single wall of positive tension, the field stays localized near the wall if the source is stationary. We calculate the leading Kaluza-Klein corrections to the linearized gravitational field of a nonrelativistic spherical object, which is different from the Schwarzschild solution at large distances. In the case of two branes of opposite tension, linearized Brans-Dicke (BD) gravity is recovered on either wall, with different BD parameters. On the wall with positive tension the BD parameter is larger than 3000 provided that the separation between walls is larger than 4 times the AdS radius. The gravitational field due to shadow matter is also considered.
我们讨论了在兰德尔 - 桑德鲁姆膜世界中由孤立物质源产生的弱引力场。对于具有正张力的单个膜的情况，如果源是静止的，场会局域在膜附近。我们计算了对非相对论性球形物体线性化引力场的主导卡鲁扎 - 克莱因修正，这在大距离处与史瓦西解不同。在具有相反张力的两个膜的情况下，在任何一个膜上都恢复了线性化的布兰斯 - 迪克（BD）引力，且具有不同的BD参数。在具有正张力的膜上，只要膜之间的间距大于反德西特半径的4倍，BD参数就大于3000。我们还考虑了由暗物质产生的引力场。
