标题： 耦合偶宇称和奇宇称动态零自旋模式的庞加莱规范理论：各向同性 Bianchi 宇宙的动力方程 显示英文标题

标题： Poincaré Gauge Theory With Coupled Even And Odd Parity Dynamic Spin-0 Modes: Dynamic Equations For Isotropic Bianchi Cosmologies

摘要： 我们正在研究一种新的Poincaré规范引力理论模型的动力学，该模型在自旋-0$^+$模式和自旋-0$^-$模式之间存在交叉耦合。 为此，我们考虑了一个非常合适的情况——均匀各向同性宇宙学——这相对简单，但所有模式都有非平凡的动力学，揭示了物理上有兴趣且可能可观测的结果。 更具体地说，我们考虑了明显各向同性的Bianchi类A宇宙学；对于这种情况，我们找到了动力系统的有效拉格朗日量和哈密顿量。 这些模型的拉格朗日方程导致一组一阶方程，这些方程与FLRW模型中找到的方程相容，并为进一步的研究提供了基础。 这些方程的典型数值演化显示了交叉宇称耦合的预期效应。 显示英文摘要

摘要： We are investigating the dynamics of a new Poincar\'e gauge theory of gravity model, which has cross coupling between the spin-0$^+$ and spin-0$^-$ modes. To this end we here consider a very appropriate situation---homogeneous-isotropic cosmologies---which is relatively simple, and yet all the modes have non-trivial dynamics which reveals physically interesting and possibly observable results. More specifically we consider manifestly isotropic Bianchi class A cosmologies; for this case we find an effective Lagrangian and Hamiltonian for the dynamical system. The Lagrange equations for these models lead to a set of first order equations that are compatible with those found for the FLRW models and provide a foundation for further investigations. Typical numerical evolution of these equations shows the expected effects of the cross parity coupling.