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Spherically Symmetric Braneworld Solutions with R_{4} term in the Bulk

机译:具有R_ {4}项的spherically symmetric Braneworld解决方案

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摘要

An analysis of a spherically symmetric braneworld configuration is performedwhen the intrinsic curvature scalar is included in the bulk action; thevanishing of the electric part of the Weyl tensor is used as the boundarycondition for the embedding of the brane in the bulk. All the solutions outsidea static localized matter distribution are found; some of them are of theSchwarzschild-(A)dS_{4} form. Two modified Oppenheimer-Volkoff interiorsolutions are also found; one is matched to a Schwarzschild-(A)dS_{4} exterior,while the other does not. A non-universal gravitational constant arises,depending on the density of the considered object; however, the conventionallimits of the Newton's constant are recovered. An upper bound of the order ofTeV for the energy string scale is extracted from the known solar systemmeasurements (experiments). On the contrary, in usual brane dynamics, thisstring scale is calculated to be larger than TeV.
机译:当主体作用中包含固有曲率标量时,将执行球对称的braneworld配置分析。 Weyl张量的电气部分的消失被用作将麸皮嵌入到主体中的边界条件。找到静态局部物质分布之外的所有解;其中一些是Schwarzschild-(A)dS_ {4}形式。还发现了两种改进的Oppenheimer-Volkoff内部解决方案;一个与Schwarzschild-(A)dS_ {4}外部相匹配,而另一个则不匹配。取决于所考虑物体的密度,会产生一个非通用的重力常数。但是,恢复了牛顿常数的常规极限。从已知的太阳系测量(实验)中提取出能量串尺度的TeV阶的上限。相反,在通常的麸皮动力学中,该弦标度被计算为大于TeV。

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