Kalb-Ramond black holes with cosmic string or cloud of strings acquire parameter-dependent weak-field deflection and magnification formulas, but the strong-field sector does not survive its own algebra.
Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity(John Wiley & Sons, New York, 1972)
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Photon Deflection and Magnification in Kalb-Ramond Black Holes with Topological String Configurations
Kalb-Ramond black holes with cosmic string or cloud of strings acquire parameter-dependent weak-field deflection and magnification formulas, but the strong-field sector does not survive its own algebra.