Brane cosmology solutions with bulk scalar fields

Davis, Stephen C.

doi:10.1088/1126-6708/2002/03/058

Cited by 23 publications

(15 citation statements)

References 26 publications

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“…These equations generalize the equations (8-10) and (13)(14)(15). So far we have not specified the curvature of the D − 1 hypersurfaces.…”

Section: Warp Geometry Between Branesmentioning

confidence: 81%

“…Apart from trivial numerical coefficients, equations (8-10) and (13)(14)(15) differ in only one respect: for the same sign of the potential in the action (3) the sign of the potential in the cosmological equations will be opposite for the 4d cosmology and 5d brane world cases. The sign reversal comes about because of the different metric signatures of dw 2 and dt 2 .…”

Section: Equations and Notationmentioning

confidence: 99%

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Warped geometry of brane worlds

Felder

Frolov

Kofman

2002

Class. Quantum Grav.

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We study the dynamical equations for extra-dimensional dependence of a warp factor and a bulk scalar in 5d brane world scenarios with induced brane metric of constant curvature. These equations are similar to those for the time dependence of the scale factor and a scalar field in 4d cosmology, but with the sign of the scalar field potential reversed. Based on this analogy, we introduce novel methods for studying the warped geometry. We construct the full phase portraits of the warp factor/scalar system for several examples of the bulk potential. This allows us to view the global properties of the warped geometry. For flat branes, the phase portrait is two dimensional. Moving along typical phase trajectories, the warp factor is initially increasing and finally decreasing. All trajectories have timelike gradient-dominated singularities at one or both of their ends, which are reachable in a finite distance and must be screened by the branes. For curved branes, the phase portrait is three dimensional. However, as the warp factor increases the phase trajectories tend towards the two dimensional surface corresponding to flat branes. We discuss this property as a mechanism that may stretch the curved brane to be almost flat, with a small cosmological constant. Finally, we describe the embedding of branes in the 5d bulk using the phase space geometric methods developed here. In this language the boundary conditions at the branes can be described as a 1d curve in the phase space. We discuss the naturalness of tuning the brane potential to stabilize the brane world system.

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“…These equations generalize the equations (8-10) and (13)(14)(15). So far we have not specified the curvature of the D − 1 hypersurfaces.…”

Section: Warp Geometry Between Branesmentioning

confidence: 81%

Section: Equations and Notationmentioning

confidence: 99%

Warped geometry of brane worlds

Felder

Frolov

Kofman

2002

Class. Quantum Grav.

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“…A generalization underlying a CFT on a D 5 -brane has been shown to describe Schwarzschild de Sitter and topological de Sitter on a (D D) 4 -brane by one of the authors (SK) in collaborations [55]. Generically the brane-world models have been successful to address some of the cosmological puzzles such as the inflation [56,57,58,59,60,61]. For a review, see ref.…”

Section: Introductionmentioning

confidence: 99%

Non-perturbative Quantum Effects in Stringy Degenerate Geometries: Vacuum Created Pair of (DD3)-Brane by a Two Form

Pandey¹,

Singh²,

Singh³

et al. 2016

IJIRSET

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We obtain axionic charged primordial black holes on a vacuum created gravitational pair of (33)-brane by the Kalb-Ramond field on a D 4 -brane in presence of a background open string metric. The new geometries on an emergent pair of (33)-brane universe is shown to be influenced by the non-perturbative quantum effects underlying a geometric torsion in a second order formalism. The presence of small extra dimensions transverse to the pair in the formalism ensures dynamical scalar fields hidden to a 3-brane or a3-brane universe. We investigate the non-perturbative quantum vacua for their characteristic properties to explain the accelerated expansion of our universe. Interestingly the emergent brane universe is shown to possess its origin in a degenerate stringy de Sitter vacua at an early epoch. A non-perturbative D p -brane world volume correction for p < 3 is worked out to explain some of the quantum effects underlying a quintessence axion in the string-brane setup. Our analysis reveals that a D-instanton can be a potential candidate to source the dark energy in our brane universe.

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“…For this purpose, we study cosmological dynamics in a DGP setup with a bulk scalar field. Many authors have studied the cosmological consequences of a bulk scalar field (see for instance Kanti and Pospelov 2000;Langlois and Rodriguez-Martinez 2001;Davis 2002aDavis , 2002bFlanagan et al 2001;Parry and Pichler 2004;Heydari-Fard and Sepangi 2009;Ansari and Sepangi 2007). One of the first motivations to introduce a bulk scalar field is to stabilize the distance between the two branes in Randall-Sundrum two-brane model (Cline and Firouzjahi 2001;Kobayashi and Koyama 2002).…”

Section: Introductionmentioning

confidence: 99%

Cosmological dynamics of a bulk scalar field in the DGP setup

Nozari

Rashidi

2011

Astrophys Space Sci

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We reconsider the issue of cosmological dynamics in a DGP setup with a bulk scalar field. The ghost-free, normal branch of this DGP-inspired braneworld scenario has the potential to realize a self-consistent phantom-like behavior. The roles played by the bulk canonical scalar field on this phantom-like dynamics are explored. Within a dynamical system approach, the effective phantom nature of the scenario is investigated with details. This analysis shows that there is a stable, late-time de Sitter phase.

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Brane cosmology solutions with bulk scalar fields

Cited by 23 publications

References 26 publications

Warped geometry of brane worlds

Warped geometry of brane worlds

Non-perturbative Quantum Effects in Stringy Degenerate Geometries: Vacuum Created Pair of (DD3)-Brane by a Two Form

Cosmological dynamics of a bulk scalar field in the DGP setup

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