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2013 Emergent Schwarzschild and Reissner-Nordstrom Black Holes in 4D: An eﬀective curvature sourced by a B 2 -ﬁeld on a D 4 -brane

We obtain a Schwarzschild and a Reissner-Nordstrom emergent black holes, by exploring the torsion dynamics in a generalized curvature formulation, underlying an eﬀective D 4 -brane on S 1 . It is shown that a constant eﬀective metric, sourced by a background ﬂuctuation in B 2 -potential, on a D 3 -brane receives a dynamical quantum correction in presence of an electric charge.