红移与旋转引力场
Redshift and the Rotating Gravitational Field
摘要：
以前的研究表明，如果一个弱的引力场被建模为一个由法向坐标描述的振荡引力子的背景，那么这个场自然会表现出旋转动能。与这种振荡运动相关的共形度规由gμν = eiωt ημν给出，相应的能量动量张量由Tμν = $frac{1}{2}$ Iω2 ημν给出。本文将该度规推广到包含恒定辐射能，从而修正时空度规为：gμν = ei（ω+ρ）t ημν。能量动量张量于是变为：Tμν = [ $frac{1}{2}$ Iω2 +（3c 2/16 G）（ρ2 + 2nωρ）]。在微观水平上分析这个能量方程，假设能量是离散的，我们发现一个频率为ν0的光子穿过一个旋转的引力场（频率为νg）时，会与引力场耦合，并发生红移，红移量为ν' = ν0 - r（ν0 νg）1/2。
英文摘要：
Previously it was shown that if a weak gravitational field is modeled as a background of oscillating gravitons described by normal coordinates, then the field naturally exhibits rotational kinetic energy. The conformal metric associated with this oscillatory motion is given by gμν = eiωt ημν, and the corresponding energy momentum tensor by Tμν = $frac{1}{2}$ Iω2 ημν. In this paper the metric is extended to include constant radiant energy thereby amending the spacetime metric to: gμν = ei(ω+ρ)t ημν. The energy momentum tensor then becomes: Tμν = [$frac{1}{2}$ Iω2 + (3c2/16G)(ρ2 + 2nωρ)]. Analyzing this energy equation at the microscopic level, where energies are assumed to become discrete, it is found a photon of frequency ν0 traversing through a rotating gravitational field (having frequency νg) becomes coupled to the field and redshifted by the amount ν' = ν0 - r (ν0 νg)1/2.
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