论文标题
Horndeski理论中隐藏的标量lagrangians
The Hidden Scalar Lagrangians within Horndeski Theory
论文作者
论文摘要
在本文中，我表明，存在一种新的方法来通过在四维流形的切线束上与该歧管上的标量场相结合，从而通过将特殊的标量字段和标量场相结合，从而获得了一种新的方法。这两个标量字段充当度量张量的生成函数。当在Horndeski Lagrangians中使用这两个标量字段时，我们发现，在寻求Friedmann-Lemaitre-Robertson-Walker型宇宙解决方案时，隐藏在Horndeski Lagrangians中的是非统一的二阶标量lagrangians。根据Ostrogradsky的作品，这些隐藏的标量拉格朗日人导致了多种真空解决方案，从而预测了多元宇宙的存在。多元宇宙由许多不同类型的单个宇宙组成。例如，有些人以爆炸性开始，然后以速度的加速沿指数沿着指数的沿着指数沿着指数的方式进行，而有些则以这种方式开始，然后停止将其扩展并收缩到其最初的初始阶段。
In this essay I show that there exists a new way to obtain scalar-tensor field theories by combining a special scalar field on the tangent bundle of a four-dimensional manifold with a scalar field on that manifold. These two scalar fields act as a generating function for the metric tensor. When using these two scalar fields in the Horndeski Lagrangians, we discover, while seeking Friedmann-Lemaitre-Robertson-Walker type cosmological solutions, that hidden in the Horndeski Lagrangians are non-degenerate second-order scalar Lagrangians. In accordance with Ostrogradsky's work, these hidden scalar Lagrangians lead to multiple vacuum solutions, and thereby predict the existence of a multiverse. The multiverse is comprised of numerous different types of individual universes. E.g., some begin explosively, and then coast along exponentially forever at an accelerated rate, while some begin in that manner, and then stop expanding and contract to their original initial stage.
