Quintessence and effective AdS brane geometries

Abstract

A geometric torsion dynamics leading to an effective curvature in a second-order formalism on a D 4 -brane is revisited with a renewed interest. We obtain two effective AdS 4 brane geometries on a vacuum created pair of (DD) 3 -brane. One of them is shown to describe an AdS Schwarzschild spinning black hole and the other is shown to describe a spinning black hole bound state. It is argued that a D-instanton in a vacuum created anti-D 3 -brane within a pair may describe a quintessence. It may seem to incorporate a varying vacuum energy density in a brane universe. We consider the effective curvature scalar on S 1 × S 1 to analyze torsionless geometries on a vacuum created pair of (DD) 2brane. The emergent AdS 3 brane is shown to describe a Schwarzschild and a Reissner-Nordstrom (RN) geometries in the presence of extra dimension(s).

Mass generation from a non-perturbative correction: Massive NS-field and graviton in $(3+1)$-dimensions

“…The emergent gravity scenarios [1][2][3][24][25][26][27][28][29][30][31] ensure that all the NP-phenomena are sourced by a lower dimensional D p -brane whose fundamental unit is a D-instanton. Interestingly, in a recent article [4], the NP-phenomenon has been shown to be sourced by the dynamics of H 3 potential in 1.5 order formulation.…”

“…In particular the stringy pair production by the KR quanta has been explored in diversified contexts to obtain: (i) a degenerate Kerr [24,25], (ii) a natural explanation to quintessential cosmology [26][27][28][29], (iii) a emergent Schwarzschild/topological de Sitter, i.e. a mass pair on (4 4)-brane [30,31] and (iv) a fundamental theory in twelve dimensions and an emergent M -theory in eleven dimensions [4].…”

Towards Nonperturbation Theory of Emergent Gravity

“…Emergent gravity in 5D: Interestingly the emergent gravity patches, underlying a non-linear higher form field quanta, were (spin) projected using a discrete matrix to describe an appropriate causal geometry in a low energy (GTR) limit [23,24]. The emergent gravity patches have formally been viewed as a lower dimensional D p -brane correction to a low energy string vacuum.…”

“…As a bonus, the NP-formulation takes into account the quintessential cosmology. The NP-tool has been explored in the recent past to explain the observed accelerated rate of expansion of universe [23] and the origin of dark energy [24].…”

“…In fact D µ ψ = 0, i.e. the dynamical scalar, is known to be pivotal to incorporate a quantum NPcorrection to the GTR [23,24]. Thus a dynamical correction to the GTR plays a significant role in quantum cosmology and is indeed a powerful tool to explain the accelerated rate of expansion of universe.…”