宇宙膜模型中的引力场与调和规范
Gravitational fields and harmonic gauge in brane model of Universe
摘要：
我们假设我们的宇宙是实嵌入高维空间中的闭流形。这个模型很好地描述了宇宙的膨胀特征，即每个点随着时间的推移变得越来越远离任何其他点。利用宇宙膨胀的对称性导出了Klein-Gordon方程。与平方Dirac-Fock-Ivanenko方程相比，我们导出了引力诱导手征流的表达式。本文从基于膜对称性得到的引力诱导手征流的表达式出发，证明了手征流被置于爱因斯坦引力场中，产生惯性引力场。这种惯性引力场转化为涡旋引力场，再转化为惯性引力场，从而保证了这种引力激发的传播，成为引力波的组成部分。在弱引力的情况下，这些对称性的考虑和我们的方程直接导致了对爱因斯坦方程的补充所必需的调和规范条件。
英文摘要：
We suppose that our Universe is closed manifold in real embedding higher dimensional space. This model well describes expanding character of Universe where each point becomes more far from any other point with time. We have derived Klein-Gordon equation using the symmetry of Universe expansion. Comparing it with squared Dirac-Fock-Ivanenko equation we have derived expression for gravitationally induced chiral current. Starting from the expression for gravitationally induced chiral current obtained on the basis of brane symmetry we have shown that being placed into the Einstein's gravitational field, chiral current yields inertial gravitational field. This inertial gravitational field transforms into the vortex gravitational field and then back to the inertial gravitational field thus ensuring the propagation of such kind of gravitational excitation as constitutional part of gravitational wave. In the case of weak gravitation, these symmetry considerations and our consequent equations lead directly to harmonic gauge conditions that are necessary for supplementing Einstein equations.
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