arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1409.3146gr-qchep-th
收藏

具有物质耦合的双度规理论中的质量本征态

Mass eigenstates in bimetric theory with matter coupling

Angnis Schmidt-May

摘要:

在本文中,我们研究了最近提出的通过复合度规耦合到物质的无幽灵的双度规作用量。该理论的运动方程是使用一种避免改变物质耦合中出现的平方根矩阵的方法导出的。我们做了一个度量成比例的矩阵,发现只要动作中的一个参数是固定的,它就能解方程。在这种情况下,比例度规以及耦合到物质的有效度规解决了爱因斯坦的广义相对论方程,包括物质源。在这些背景下,我们推导出扰动的二次作用量,对角化成一个大质量和一个无质量的自旋-2波动。我们发现,只有无质量的自旋-2模式与物质相互作用,这是一个独立的理论的其余参数的结果。

英文摘要:

In this paper we study the ghost-free bimetric action extended by a recently proposed coupling to matter through a composite metric. The equations of motion for this theory are derived using a method which avoids varying the square-root matrix that appears in the matter coupling. We make an ansatz for which the metrics are proportional to each other and find that it can solve the equations provided that one parameter in the action is fixed. In this case, the proportional metrics as well as the effective metric that couples to matter solve Einstein's equations of general relativity including a matter source. Around these backgrounds we derive the quadratic action for perturbations, diagonalized into a massive and a massless spin-2 fluctuation. We find that only the massless spin-2 mode interacts with matter; a result which is independent of the remaining parameters of the theory.

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。

↑