Radion and holographic brane gravity
Radion and holographic brane gravity
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无线电和全息膜重力
DOI：
10.1103/physrevd.66.083506
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发表时间：
2002
影响因子：
5
通讯作者：
J. Soda
中科院分区：
文献类型：
--
作者：
S. Kanno;J. Soda
本文研究了兰德尔-桑德鲁姆双膜系统的低能有效理论，着重讨论了非线性辐射在膜世界中的作用。用低能展开法求解了块体中的运动方程。这使得我们可以通过结点条件，推导出薄膜上重力的有效运动方程。结果表明，膜上的引力可用准标量张量理论来描述，正张力膜上的特定耦合函数omega(Psi)=3Psi/2(1-Psi)，负张力膜上的omega(Phi)=-3Phi/2(1+Phi)，其中Psi和Phi分别是正张力膜和负张力膜上辐射的非线性实现。与通常的标量-张量引力不同，准标量-张量引力耦合有两种物质，即正、负张力膜上的物质，它们的有效引力耦合常数不同。特别是，伪装成标量场Psi和Phi的辐射子与两个膜上的能量动量张量的迹线之和相耦合。在推导过程中，揭示了辐射子在将具有广义暗辐射的非定域爱因斯坦引力转化为定域准标量张量引力的过程中起着至关重要的作用。为了完备性，我们还通过将整体解替换为原始动作来推导出我们的理论的有效动作。结果还表明，准标量张量引力在低能下表现为全息图，即可从准标量张量引力的解中重建出块体的几何形状。
The low energy effective theory for the Randall-Sundrum two brane system is investigated with an emphasis on the role of the non-linear radion in the brane world. The equations of motion in the bulk is solved using a low energy expansion method. This allows us, through the junction conditions, to deduce the effective equations of motion for the gravity on the brane. It is shown that the gravity on the brane world is described by a quasi-scalar-tensor theory with a specific coupling function omega(Psi) = 3 Psi / 2(1-Psi) on the positive tension brane and omega(Phi) = -3 Phi / 2(1+Phi) on the negative tension brane, where Psi and Phi are non-linear realizations of the radion on the positive and negative tension branes, respectively. In contrast to the usual scalar-tensor gravity, the quasi-scalar-tensor gravity couples with two kinds of matter, namely, the matters on both positive and negative tension branes, with different effective gravitational coupling constants. In particular, the radion disguised as the scalar fields Psi and Phi couples with the sum of the traces of the energy momentum tensor on both branes. In the course of the derivation, it has been revealed that the radion plays an essential role to convert the non-local Einstein gravity with the generalized dark radiation to the local quasi-scalar-tensor gravity. For completeness, we also derive the effective action for our theory by substituting the bulk solution into the original action. It is also shown that the quasi-scalar-tensor gravity works as holograms at the low energy in the sense that the bulk geometry can be reconstructed from the solution of the quasi-scalar-tensor gravity.