Applied and Pure Research Institute, 7 Taggart Drive, Unit E, Nashua, NH-03060, USA
Einstein gives three accurate predictions. However, the Einstein equation has not been confirmed beyond what the Maxwell-Newton Approximation can do. As Gullstrand suspected, it has been proven that there is no dynamic solution and thus the perihelion of Mercury cannot be derived with perturbation from the Einstein equation. So far, the only exception is the derivation of the metric for a charged particle. Because the electromagnetic energy-stress tensor is involved, the Einstein equation is beyond the MaxwellNewton Approximation. It has been shown that this metric implies a repulsive force mq2/r3 between a charge q and a mass m, separated with a distance r. Although it has been shown experimentally that a metal ball becomes lighter after charged with electrons, more detailed data are needed to confirm this force and distinguish its formula from claims of other theories. Due to its 1/r3dependence and repulsiveness, this long range neutral force would be important in astrophysics. Moreover, in contrast to the claim of Einstein, a heated metal would have a reduced weight because of the charge-mass interaction.
Pioneer anomaly, Repulsive force, Charge-mass interaction, Charged capacitors, Charged metal ball, E = mc2.