Abstract

We discuss a model of gravity with conformal symmetry appearing in the simplest extension of General Relativity with the Poincaré algebra terms. The nonlinear realization of symmetry causes the existence of five scalar fields. Therefore it looks desirable to use them for driving the inflation at the earliest stages of the Universe evolution. It is shown that the evolution of the scale factor depends on the number of fields included in the Lagrangian, but there are no inflationary solutions in this model. To drive inflation a more complicated model induced by extension of the Poincare algebra is required.

中文翻译：

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具有等角对称性的最简单引力模型中的通货膨胀解

摘要

我们讨论了在广义相对论的最简单扩展中使用庞加莱代数项出现的，具有共形对称性的引力模型。对称性的非线性实现导致五个标量场的存在。因此，希望在宇宙演化的最早阶段使用它们来驱动通货膨胀。结果表明，比例因子的演化取决于拉格朗日算子中包含的场数，但是该模型中没有通货膨胀解。为了驱动通货膨胀，需要一个由庞加莱代数的扩展引起的更复杂的模型。