我隨便GOOGLE了一下便找到一篇1982年的論文計算了一個有質量電荷的引力。作者是C. L. Pekeris。該論文的方程62給出了牛頓近似下的引力勢。C_Y_LO的文章中的引力場就是這個勢去梯度。

另外，我隨便找了一本相對論的課本：General Relavity -An Introduction for Physicists by M.P. Hobson 等，在該書的12.6節給出了帶電球對稱物體的度規。12.8節給出了一個粒子在該引力場徑向運動的方程（該書的方程12.52），此方程也與魯重賢稱為"charge-mass"作用的結果相同。

至於魯重賢稱為"charge-mass"，完全是概念不清的胡扯。也就哄騙某些家庭主婦。

Reissner–Nordström repulsion is a well known effect since probably around 1920.

A 1982 article discuss similar effect for a point charge

C. L. Pekeris, June 14, 1982

NatL Acad. Sci. USA

1982

http://www.pnas.org/content/79/20/6404.full.pdf See equation 62 for Newtonian potential, which includes a term with potential -1/2G MQ^2/r^2

now compare this with

http://www.cqfyl.com/pdf/lu2.pdf equation 8a

except unlike Pekeris who gave a detailed derivation, C_Y_Lo just put down the result.

I am pretty sure there were earlier papers than Pekeris