标题： 庞加莱规范理论与耦合的偶数和奇数宇称动态自旋-0模：各向同性比安基宇宙学的动力学方程 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庞加莱引力规范理论模型的动力学特性，该模型具有自旋-0模式$^+$和自旋-0模式$^-$之间的交叉耦合。 为此，我们考虑了一个非常合适的情况——同质各向同性宇宙学——它相对简单，但所有模式都具有非平凡的动力学特性，揭示了在物理上有趣且可能可观测的结果。 更具体地说，我们考虑了显式各向同性的Bianchi类A宇宙学；对于这种情况，我们找到了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与FLRW模型中发现的一致的一阶方程，并为进一步的研究奠定了基础。 这些方程的典型数值演化显示出预期的交叉宇称耦合效应。 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.