The periapsis shift of charged test particles in arbitrary static and spherically symmetric charged spacetimes are studied.Two perturbative methods,the near-circular approximation and post-Newtonian methods,are develo...The periapsis shift of charged test particles in arbitrary static and spherically symmetric charged spacetimes are studied.Two perturbative methods,the near-circular approximation and post-Newtonian methods,are developed and shown to be very accurate when the results are determined to high orders.The near-circular approximation method is more precise when eccentricity e of the orbit is small,whereas the post-Newtonian method is more effective when orbit semilatus rectum p is large.Results from these two methods are shown to agree when both e is small and p is large.These results are then applied to the Reissner-Nordström spacetime,the Einstein-Maxwell-dilation gravity,and a charged wormhole spacetime.The effects of various parameters on the periapsis shift,particularly that of the electrostatic interaction,are carefully studied.The periapsis shift data of the solar-Mercury are then used to constrain the charges of the Sun and Mercury,and the data of the Sgr A^(*)-S2 periapsis shift are used to determine,for the first time using this method,the constraints of the charges of Sgr A^(*)and S2.展开更多
基金Supported by the Wuhan University Research Development Fund。
文摘The periapsis shift of charged test particles in arbitrary static and spherically symmetric charged spacetimes are studied.Two perturbative methods,the near-circular approximation and post-Newtonian methods,are developed and shown to be very accurate when the results are determined to high orders.The near-circular approximation method is more precise when eccentricity e of the orbit is small,whereas the post-Newtonian method is more effective when orbit semilatus rectum p is large.Results from these two methods are shown to agree when both e is small and p is large.These results are then applied to the Reissner-Nordström spacetime,the Einstein-Maxwell-dilation gravity,and a charged wormhole spacetime.The effects of various parameters on the periapsis shift,particularly that of the electrostatic interaction,are carefully studied.The periapsis shift data of the solar-Mercury are then used to constrain the charges of the Sun and Mercury,and the data of the Sgr A^(*)-S2 periapsis shift are used to determine,for the first time using this method,the constraints of the charges of Sgr A^(*)and S2.
