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arXiv 1502.00783gr-qchep-th
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Brans-Dicke理论与膜世界模型的度量可分解性和等价性

Metric factorizability and equivalence of brane world models with Brans-Dicke theory

Sumanta Chakraborty, Soumitra SenGupta

备注：
Thoroughly revised; matches published version
发表信息：
Phys. Rev. D 92 024059 (2015)
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摘要：

在标准膜世界模型中，体度规通常被假定为在膜坐标和体坐标中可分解。然而，这并不是不言自明的，它总是可以因式分解批量度量。使用梯度展开方案，它涉及到的膜体积曲率比方面的大量的膨胀，作为一个微扰参数，我们明确表明，度量因子分解是一个有效的假设高达二阶的微扰膨胀。我们还认为，从我们的结果，同样应该是真实的所有订单的微扰计划。我们进一步证明，体引力场方程中的非定域项可以用辐射场代替;由此得到的对膜的有效作用类似于Brans-Dicke引力理论。

英文摘要：

In the standard brane world models, the bulk metric ansatz is usually assumed to be factorizable in brane and bulk coordinates. However, it is not self-evident that it is always possible to factorize the bulk metric. Using the gradient expansion scheme, which involves the expansion of bulk quantities in terms of the brane-to-bulk curvature ratio, as a perturbative parameter, we explicitly show that metric factorizability is a valid assumption upto second order in the perturbative expansion. We also argue from our result that the same should be true for all orders in the perturbation scheme. We further establish that the nonlocal terms present in the bulk gravitational field equation can be replaced by the radion field; the effective action on the brane thereby obtained resembles the Brans-Dicke theory of gravity.

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