Nishino-Salam-Sezgin模型在3型场背景下的动力学解
Dynamical solutions in the 3-Form Field Background in the Nishino-Salam-Sezgin Model
摘要：
本文研究了六维Nishino-Salam-Sezgin模型（通常称为Salam-Sezgin模型）中膜世界的动力学3-形式通量紧化及其宇宙学意义.我们取作用在内部空间和类时维上的3-形式场为背景，而不考虑U（1）规范场的强度。我们讨论的第一类解是最近得到的静态解的动力学推广。在这一类中，我们发现时间演化只局限于内部空间的方位维度，而不是普通的三维维度，这并不给出宇宙学演化。第二类解是在第一类假设的基础上，通过交换径向坐标和时间坐标的作用得到的。在内部空间的中心，有一个圆锥奇点，它可以被解释为我们的3-膜世界，但很难实现一个扭曲的结构在普通的3-空间的方向。除了振荡的解决方案，动力学演化导致扩大或收缩普通的3-空间，这取决于时间方向的选择。此外，在膨胀解中，存在减速解和加速解：在后一种解中，演化持续有限的适当时间，三维空间的尺度因子发散。
英文摘要：
We investigate the dynamical 3-form flux compactifications and their implications for cosmology in our brane world in the six-dimensional Nishino-Salam-Sezgin model, which is usually referred to as the Salam-Sezgin model. We take the background of the 3-form field acting on the internal space and timelike dimensions without the U(1) gauge field strength. The first class of solutions we discuss is the dynamical generalization of the static solutions obtained recently. In this class, we find that the time evolution is restricted only in the azimuthal dimension of the internal space and not in the ordinary three-dimensional one, which does not give a cosmological evolution. The second class of solutions is obtained by exchanging the roles of the radial coordinate and the time coordinate from the assumptions in the first class. At the center of the internal space, there is a conical singularity which may be interpreted as our 3-brane world, but it is difficult to realize a warped structure in the direction of the ordinary 3-space. Except for the oscillating solutions, a dynamical evolution leads to expanding or contracting ordinary 3-space, depending on the choice of time direction. Furthermore, in the expanding solutions, there are decelerating and accelerating ones: In the latter solution, the evolution is sustained for a finite proper time and the scale factor of the 3-space diverges.
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