论文标题
修改后的Brans-Dicke宇宙学，最小长度不确定性
Modified Brans-Dicke cosmology with Minimum Length Uncertainty
论文作者
论文摘要
我们考虑了由标量场的最小长度不确定性启发的Brans-Dicke重力动作的修改。特别是，对Brans-Dicke标量场的动力学部分进行了修改，以使标量场的运动方程根据二次概括性不确定性原理（GUP）进行修改。对于背景几何形状，我们假定均质和各向同性的Friedmann--Lema \^atre-Robertson-Walker Metric。我们研究了该理论动力学变量的动力学和宇宙学演化，并将结果与未修改的Brans-Dicke理论进行了比较。因此，考虑到能量量张量的额外自由度，动态变量描述了宇宙学历史的各个方面。这是关于Machian重力理论中GUP影响的首批研究之一。
We consider a modification of the Brans-Dicke gravitational Action Integral inspired by the existence of a minimum length uncertainty for the scalar field. In particular, the kinetic part of the Brans-Dicke scalar field is modified such that the equation of motion for the scalar field be modified according to the quadratic Generalized Uncertainty Principle (GUP). For the background geometry, we assume the homogeneous and isotropic Friedmann--Lema\^ıtre--Robertson--Walker metric. We investigate the dynamics and the cosmological evolution for the dynamical variables of the theory and we compare the results with the unmodified Brans-Dicke theory. It follows that in consideration because of the additional degrees of freedom in the energy-momentum tensor the dynamical variables describe various aspects of the cosmological history. This is one of the first studies on the effects of GUP in a Machian gravitational theory.
