Emergent Schwarzschild and Reissner-Nordstrom black holes in four dimensions: An effective curvature sourced by aB2-field on aD4-brane

Abstract

We obtain a Schwarzschild and a Reissner-Nordstrom emergent black holes, by exploring the torsion dynamics in a generalized curvature formulation, underlying an effective D4-brane on S 1 . It is shown that a constant effective metric, sourced by a background fluctuation in B2-potential, on a D3-brane receives a dynamical quantum correction in presence of an electric charge.

Quintessence and effective RN de Sitter brane geometries

“…Interestingly the significance of the global modes of the NS two form in addition to the local modes of a two form have been addressed in an effective curvature formalism on a D 4 -brane [16,17]. A priori the gauge theoretic torsion H 3 has been identified with a connection in the formalism leading to a modified covariant derivative D μ on a brane.…”

“…However, the perspective of a dynamical two form on a D pbrane has not been addressed due to some of the technical difficulties. In the recent past we have explored a plausible effective gravity scenario, underlying a two form dynamics, on a D 4 -brane [16][17][18][19][20][21][22]. Primarily the Poincaré duality has played a significant role to identify a gauge theoretic torsion H 3 underlying the U (1) gauge symmetry on a D 4 -brane [23,24].…”

“…Thus a propagating two form together with the NS non-propagating modes are sensibly addressed in an effective curvature scalar K underlying a geometric torsion. It was shown that in a gauge choice for a non-propagating torsion, the effective space-time on a S 1 may be identified with the Riemannian geometry [17]. In fact the emergent brane geometries are analyzed for a torsion potential for its dependence on radial coordinate to confirm their stringy feature.…”

Emergent Gravity/Non-linear U (1) Gauge Theory Correspondence

“…In the context, the external geometries on a D-brane sourced by a zero mode of a two form may be exploited further to address some of the non-external quantum black holes underlying generalized non-perturbation formalism. In fact, the stringy deformations leading to geometric causal patches have been described on a non BPS D-brane [28][29][30][31][32] underlying a non-linear U (1) gauge theory. The emergent quantum vacua on a brane undergo a tunneling phenomenon and lead to some of the plausible classical vacua established in Einstein gravity.…”

Formation of emergent universe in brane scenario as a consequence of particle creation

“…The modern era of brane cosmology began in the context of large extra dimensions, made possible by the hypothesis that the standard model of particle physics is localized on a D-brane. Different types of D-branes and their cosmological and astrophysical implications have been proposed in different context in recent past (Bachas and Petropoulos 2001;Majumdar and Davis 2002;Singh et al 2013aSingh et al , 2013b. Braneworld models of the universe have been the focus of attention in the current decade for the search of many outstanding problems in Cosmology.…”