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Static spherisymmetric solutions, gravitational lensing and perihelion precession in Einstein--Kalb--Ramond theory
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abstract
Static, spherically symmetric solutions of the Einstein--Kalb--Ramond (KR) field equations are obtained. Besides an earlier known exact solution, we also find an approximate, asymptotically flat solution for which the metric coefficients are obtained as an infinte series in $\frac{1}{r}$. Subsequently, we study gravitational lensing and perihelion precession in these spacetimes and obtain explicit formulae which include corrections to these effects in the presence of the KR field.
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Black hole with global monopole charge in self-interacting Kalb-Ramond field
A black hole solution combining a Kalb-Ramond field and a global monopole is presented, but the claimed solar system constraints on its parameters are inconsistent with the derived formulas.
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