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

Sayan KarDepartment of Physics and Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur 721 302, West Bengal, IndiaSoumitra SenGuptaDepartment of Theoretical Physics, Indian Association for the Cultivation of Science Jadavpur, Kolkata, 700 032, IndiaSaurabh SurDepartment of Physics, Jadavpur University,Kolkata – 700 032,India
2003en
ABI

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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.

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