论文标题
广义SU(2)Proca理论中的粒子样溶液
Particle-like solutions in the generalized SU(2) Proca theory
论文作者
论文摘要
广义SU(2)Proca理论是一种矢量调整的重力理论,在差异和SU(2)组的差异和全球内部变换下,该作用是不变的。这项工作构成了在天体物理量表下研究该理论的物理特性的第一种方法。我们发现的解决方案自然地概括了爱因斯坦 - 杨米尔斯方程的粒子样溶液,也称为仪表玻色子恒星。根据要求溶液必须是静态的,渐近平坦的,并且在全球范围内,用于矢量场的T'Hooft-Polyakov磁性单极构型升高是一种可行的可能性。该溶液已通过渐近扩展在分析中获得,并通过解决边界价值问题来获得数值。我们已经在解决方案中发现了新功能,例如具有负有效能量密度和虚构有效电荷的区域。我们还为理论的参数空间中的某些区域获得了一种新型的全球充电解决方案。此外,我们已经构建了平衡序列,并在某些情况下发现了转弯点。这些结果暗示,在爱因斯坦 - 杨米尔斯案中没有稳定溶液的存在。
The generalized SU(2) Proca theory is a vector-tensor modified gravity theory where the action is invariant under both diffeomorphisms and global internal transformations of the SU(2) group. This work constitutes the first approach to investigate the physical properties of the theory at astrophysical scales. We have found solutions that naturally generalize the particle-like solutions of the Einstein-Yang-Mills equations, also known as gauge boson stars. Under the requirement that the solutions must be static, asymptotically flat, and globally regular, the t'Hooft-Polyakov magnetic monopole configuration for the vector field rises as one viable possibility. The solutions have been obtained analytically through asymptotic expansions and numerically by solving the boundary value problem. We have found new features in the solutions such as regions with negative effective energy density and imaginary effective charge. We have also obtained a new kind of globally charged solutions for some region in the parameter space of the theory. Furthermore, we have constructed equilibrium sequences and found turning points in some cases. These results hint towards the existence of stable solutions which are absent in the Einstein-Yang-Mills case.