arXiv 1202.53752012-02hep-thastro-ph.COgr-qc

标量畴壁作为宇宙

Scalar Domain Wall as the Universe

Yuta Toyozato, Kazuharu Bamba, Shin'ichi Nojiri

备注：: LaTeX, 11 pages, veersion to appear in Phys. Rev. D, a new section is added
DOI：: 10.1103/PhysRevD.87.063008

摘要：

我们开发了一个配方，对于一个任意给定的翘曲因子，我们构建了一个标量场的行动，再现翘曲因子作为爱因斯坦方程和场方程的解决方案，相应的行动。这个公式可以称为重建。通过使用配方的重建，我们构建的模型有一个精确的解决方案描述的畴壁。畴壁的形状可以是平的、德西特时空或反德西特时空。在所构造的畴壁解中，经常出现负动能的鬼点。然而，我们给出了一个例子的德西特域壁解决方案没有鬼，这可能是一个玩具模型的通货膨胀。我们还研究了在Randall-Sundrum模型中引力的局部化。证明了四维牛顿定律在de Sitter时空域壁解中也能再现。我们证明了我们可以构造一个时空，其中畴壁是一般的Friedmann-Robertson-Walker（FRW）宇宙，翘曲因子可以是任意的。对于这样的构造，我们使用两个标量场。本文还证明了标量场方程与Bianchi恒等式：$\nabla^μ(R_{μν} - \frac{1}{2}R g_{μν})=0$是等价的.

英文摘要：

We develop a formulation where for an arbitrarily given warp factor, we construct a scalar field action which reproduces the warp factor as a solution of the Einstein equation and field equation corresponding to the action. This formulation could be called as the reconstruction. By using the formulation of the reconstruction, we construct models which have an exact solution describing the domain wall. The shape of the domain wall can be flat, de Sitter space-time, or anti-de Sitter space-time. In the constructed domain wall solutions, there often appears ghost with negative kinetic energy. We give, however, an example of the de Sitter domain wall solution without ghost, which could be a toy model of inflation. We also investigate the localization of gravity as in the Randall-Sundrum model. It is demonstrated that the four dimensional Newton law could be reproduced even in the de Sitter space-time domain wall solution. We show that we can construct a space-time, where the domain wall is the general Friedmann-Robertson-Walker (FRW) universe and the warp factor can be arbitrary. For such a construction, we use two scalar fields. It is also illustrated that the scalar field equations are equivalent to the Bianchi identities: $\nabla^μ(R_{μν} - \frac{1}{2}R g_{μν})=0$.

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