Quintessence and effective RN de Sitter brane geometries

Abstract

We revisit the effective space-time torsion curvature in a second order formalism, underlying the non-linear U (1) gauge dynamics, of a two form on a D 4 -brane. The formalism incorporates a significant global NS two form into the theory via its perturbative coupling to a dynamical two form. In particular we explore the non-linear gauge dynamics on a D 4 -brane in the presence of a non-trivial background metric. An effective de Sitter universe is shown to emerge on a vacuum created pair of (DD) 3 -branes by a local two form at the past horizon with the Big Bang. We obtain a number of 4D de Sitter quantum black holes with and without a propagating torsion. In a low energy limit the non-perturbative correction may be seen to be insignificant. The quantum black hole undergoes an expansion in the limit and identifies with the Einstein vacuum. Interestingly our analysis reveals a plausible quintessence (axion) on an anti-D 3 -brane which may source the dark energy in a D 3 -brane universe. Arguably a brane universe moves away from its anti-brane due to the conjectured repulsive gravity underlying the quintessence. It leads to a growth in the extra fifth dimension between a brane and an anti-brane, which may provide a clue to an accelerating universe as observed in cosmology.

Quintessence and effective AdS brane geometries

“…A repulsive gravity sourced by an axion underlying a quintessence has recently been argued to drift away a dS brane universe from its anti-brane. 39 The growth in transverse length scale may justify the observed acceleration of the universe in cosmic microwave background (CMB) radiations. The hot dS brane/anti-brane vacua give away radiations and cool down upon their expansion.…”

“…39 In recent years, the observational cosmology primarily focuses on the measurement of ω sourced by a quintessence. It takes a bounded value: −1 < ω < −1/3.…”

“…Very recently, an axionic scalar in the formalism is conjectured to describe a quintessence which is known to incorporate a varying vacuum energy density. 39 Thus, the dark energy in a brane universe may be sourced by a dynamical axion on an anti-brane. Now we focus on a vacuum created pair of (DD) 2 -brane from a D 3 -brane or an anti-D 3 -brane followed from a D 4 -brane.…”

“…[32][33][34][35][36][37][38][39] Primarily a nonlinear gauge dynamics on a D 4 -brane is explored to construct a geometric torsion underlying an effective curvature scalar in a secondorder formalism. 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.…”

Quantum Kerr(Newman) degenerate stringy vacua in 4D on a non-BPS brane

“…In other words the formalism underlying a geometric torsion may seen to describe a low energy perturbative closed string vacuum in presence of a non-perturbative D-brane and an anti D-brane corrections [38,43,44,45]. In the context a flat metric has been shown to be associated with a quantum correction.…”