论文标题
在修改后的Rindler几何形状上
On a modified Rindler geometry
论文作者
论文摘要
在先前的想法之后,提出了弯曲的几何形状在Minkowski空间中的加速系统中有效。事实证明,曲率是由加速运动来源产生的。指数因素取决于$ρ$(沿加速度的坐标)和公制中引入恒定长度。源应力张量似乎代表了零能量密度的不完美流体,但是即使在$ρ>> l_ {p} $的情况下,非零的切向压力也不取决于牛顿的常数,其中$ l_ {p} $是planck的长度。科马尔质量与恒定加速度$ g $成正比,它不取决于从指数因素中选择常数$ k $的值。研究了沿$ρ$方向的无效测量学。度量的略有变化导致沿加速度方向的非零能量密度和压力,所有能量条件都远离普朗克世界。
Following a previous idea, a curved geometry is proposed as being valid in accelerated systems, in Minkowski space. The curvature turns out to be generated by the source of the accelerated motion. An exponential factor depending on $ρ$ (the coordinate along the acceleration) and a constant length is introduced in the metric. The source stress tensor appears to represent an imperfect fluid with zero energy density but nonzero tangential pressures which do not depend on Newton's constant even for $ρ>>l_{p}$, where $l_{p}$ is the Planck length. The Komar mass is proportional to the constant acceleration $g$ and it does not depend on the choice of the value of the constant $k$ from the exponential factor. Null and timelike geodesics along the $ρ$ direction are investigated. A slight change in the metric leads to nonzero energy density and pressure along the acceleration direction, with all the energy conditions being satisfied far from the Planck world.