arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1010.5740gr-qcastro-ph.HEhep-th
收藏

Kaluza-Klein模型：我们可以构造一个可行的例子吗？

Kaluza-Klein models: can we construct a viable example?

Maxim Eingorn, Alexander Zhuk

备注：
11 pages, Revtex4, no figures, appendix and references added
发表信息：
Phys.Rev.D83:044005,2011
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

在Kaluza-Klein模型中，研究了Einstein方程的孤子解.给出了近日点位移、光偏转、雷达回波时延和PPN参数的计算公式。我们发现孤子参数k应该很大：|k| \geq 2.3 \times 10 ^4。我们定义了一个孤子解，它对应于一个点状的质量源。在这种情况下，孤子参数k = 2，这显然与此限制相反。类似的问题也发生在静态球对称理想流体的状态方程在所有维度的尘埃。这两个模型的共同点是在我们的三维和额外维度中有相同的状态方程。所有尺寸均同等对待。为了与观察一致，有必要打破外部/我们和内部空间之间的对称性。它发生的黑弦是特殊的例子孤子与k \to \infty。对于这样的k，黑弦与观测是一致的。此外，我们表明，它们是唯一的孤立子，在同一水平的协议与观察，在广义相对论。黑弦可以看作是理想流体，在外部/我们的空间中，状态方程为p_0 = 0，在内部空间中，状态方程为p_1 =-（1/2）ε。后一个方程是由于额外维度中的负张力。我们还证明了三维的外部空间是一个特殊的。只有在这种情况下，我们才得到后一个状态方程。证明了黑弦状态方程满足内空间稳定的必要条件。因此，黑弦是天体物理对象的可行模型的良好候选者（例如，Sun），如果我们能对构成这些物体的粒子的负张力提供满意的解释。

英文摘要：

In Kaluza-Klein models, we investigate soliton solutions of Einstein equation. We obtain the formulas for perihelion shift, deflection of light, time delay of radar echoes and PPN parameters. We find that the solitonic parameter k should be very big: |k|\geq 2.3\times10^4. We define a soliton solution which corresponds to a point-like mass source. In this case the soliton parameter k=2, which is clearly contrary to this restriction. Similar problem with the observations takes place for static spherically symmetric perfect fluid with the dust-like equation of state in all dimensions. The common for both of these models is the same equations of state in our three dimensions and in the extra dimensions. All dimensions are treated at equal footing. To be in agreement with observations, it is necessary to break the symmetry between the external/our and internal spaces. It takes place for black strings which are particular examples of solitons with k\to \infty. For such k, black strings are in concordance with the observations. Moreover, we show that they are the only solitons which are at the same level of agreement with the observations as in general relativity. Black strings can be treated as perfect fluid with dust-like equation of state p_0=0 in the external/our space and very specific equation of state p_1=-(1/2)εin the internal space. The latter equation is due to negative tension in the extra dimension. We also demonstrate that dimension 3 for the external space is a special one. Only in this case we get the latter equation of state. We show that the black string equations of state satisfy the necessary condition of the internal space stabilization. Therefore, black strings are good candidates for a viable model of astrophysical objects (e.g., Sun) if we can provide a satisfactory explanation of negative tension for particles constituting these objects.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑