Static, spherically symmetric solutions, gravitational lensing, and perihelion precession in Einstein-Kalb-Ramond theory

Static, spherically symmetric solutions of the Einstein-Kalb-Ramond (KR) field equations have been obtained in this paper. In addition to an earlier known exact solution, we also find an approximate, asymptotically flat solution for which the metric coefficients are obtained as an infinite series in 1/r. Subsequently, we study gravitational lensing and perihelion precession in these spacetimes and obtain explicit formulas which include corrections to these effects in the presence of the KR field.