论文标题
哈密顿的形式主义，用于MOG中颗粒动力学
Hamiltonian Formalism for dynamics of particles in MOG
论文作者
论文摘要
MOG作为修改的重力理论设计为用暗物质代替。在该理论中，除了度量张量外，大量矢量是一个重力场，每个粒子都通过粒子的四速度与惯性质量和夫妻成比例的电荷与矢量场成比例。在这项工作中，我们介绍了该理论中粒子动力学的哈密顿形式主义。哈密顿形式主义的优势是更好地理解和分析巨大和无质量颗粒的动力学。巨大的颗粒偏离了时空和光子的大地测量，遵循了大地测量。我们还研究了出于观察目的的牛顿和牛顿后政权中颗粒的动力学。哈密顿形式主义的重要结果是，虽然在大尺度上进行镜头与观测值兼容，但是恒星大小镜头的偏转角度大于一般相对论。除非我们引入一种筛选机制来改变有效的重力常数，否则该结果可以排除该理论。
MOG as a modified gravity theory is designed to be replaced with dark matter. In this theory, in addition to the metric tensor, a massive vector is a gravity field where each particle has a charge proportional to the inertial mass and couples to the vector field through the four-velocity of a particle. In this work, we present the Hamiltonian formalism for the dynamics of particles in this theory. The advantage of Hamiltonian formalism is a better understanding and analyzing the dynamics of massive and massless particles. The massive particles deviate from the geodesics of space-time and photons follow the geodesics. We also study the dynamics of particles in the Newtonian and post-Newtonian regimes for observational purposes. An important result of Hamiltonian formalism is that while lensing on large scales is compatible with the observations, however the deflection angle from stellar size lensing is larger than General Relativity. This result can rule out this theory unless we introduce a screening mechanism to change the effective gravitational constant near compact objects like stars.
