arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1910.03488gr-qcastro-ph.CO
收藏

希格斯暴胀与远平行引力

Higgs inflation and teleparallel gravity

Sami Raatikainen, Syksy Rasanen

摘要:

遥平行引力是广义相对论的一个公式,如果引力作用具有爱因斯坦-希尔伯特形式并且物质是最小耦合的,那么它在物理上等价于度量引力。然而,标量场通常直接耦合到连接,破坏了等价性。特别是在标准模型希格斯粒子中。我们表明,远程平行理论与非最小耦合标量场没有线性标量扰动,因此不能给成功的通货膨胀,除非非最小耦合函数满足一个特定的关系。如果满足这个关系,希格斯暴胀可以给出任意大的张量标量比$r$。我们的结果也适用于$f(T)$理论,因为它们是在不同的场坐标写的标量张量理论。我们将讨论推广到更复杂的行动。

英文摘要:

Teleparallel gravity is a formulation of general relativity that is physically equivalent to metric gravity if the gravitational action has the Einstein-Hilbert form and matter is minimally coupled. However, scalar fields generally couple directly to the connection, breaking the equivalence. In particular, this happens for the Standard Model Higgs. We show that a teleparallel theory with a non-minimally coupled scalar field has no linear scalar perturbations, and therefore cannot give successful inflation, unless the non-minimal coupling functions satisfy a particular relation. If the relation is satisfied, Higgs inflation can give an arbitrarily large tensor-to-scalar ratio $r$. Our results also apply to $f(T)$ theories, as they are scalar-tensor theories written in different field coordinates. We discuss generalisation to more complicated actions.

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。

↑