Warped Flux Compactification and Brane Gravity

Abstract

We find a simple exact solution of 6-dimensional braneworld which captures some essential features of warped flux compactification, including a warped geometry, compactification, a magnetic flux, and one or two 3-brane(s). In this setup we analyze how the Hubble expansion rate on each brane changes when the brane tension changes. It is shown that effective Newton's constant resulting from this analysis agrees with that inferred by simply integrating extra dimensions out. Based on the result, a general formula for effective Newton's constant is conjectured and its application to cosmology with type IIB warped string compactification is discussed.

33 pages, LaTeX 2e; Version accepted for publication in JCAP, references added

References in corpus (77)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• de Sitter Vacua in String Theory
• Phenomenology, Astrophysics and Cosmology of Theories with Sub-Millimeter Dimensions and TeV Scale Quantum Gravity
• Hierarchies from Fluxes in String Compactifications
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Modulus Stabilization with Bulk Fields
• The Einstein Equations on the 3-Brane World
• Towards Inflation in String Theory
• Brane Inflation
• Brane cosmological evolution in a bulk with cosmological constant
• Locally Localized Gravity
• Non-Perturbative Superpotentials In String Theory
• Gravity in the Randall-Sundrum Brane World
• Cosmological Expansion in the Presence of an Extra Dimension
• Cosmology of Brane Models with Radion Stabilization
• Cosmology of One Extra Dimension with Localized Gravity
• Radion Dynamics and Electroweak Physics
• Dynamics of Anti-de Sitter Domain Walls
• Linearized Gravity in Brane Backgrounds
• Brane-world cosmology
• Lectures on string/brane cosmology
• Racetrack Inflation
• Accelerating Cosmologies from Compactification
• Gravity, Stability and Energy Conservation on the Randall-Sundrum Brane-World
• Global structure of exact cosmological solutions in the brane world
• Loop Corrections to Volume Moduli and Inflation in String Theory
• Cosmological Expansion in the Randall-Sundrum Brane World Scenario
• Accelerating Cosmologies from S-Branes
• Cosmological 3-Brane Solutions
• Brane-world solutions, standard cosmology, and dark radiation
• Closer towards inflation in string theory
• Codimension Two Compactifications and the Cosmological Constant Problem
• A Study of Accelerating Cosmologies from Superstring/M theories
• M-Theory Inflation from Multi M5-Brane Dynamics
• D3/D7 Brane Inflation and Semilocal Strings
• Gravity in the brane-world for two-branes model with stabilized modulus
• Accelerating cosmologies from M/String theory compactifications
• On Brane Inflation With Volume Stabilization
• Can codimension-two branes solve the cosmological constant problem?
• The Giant Inflaton
• Cosmology of codimension-two braneworlds
• MHV Vertices and Fermionic Scattering Amplitudes in Gauge Theory with Quarks and Gluinos
• Inflation in Realistic D-Brane Models
• Spheres, Deficit Angles and the Cosmological Constant
• De Sitter Vacua from Heterotic M-Theory
• Sidestepping the Cosmological Constant with Football-Shaped Extra Dimensions
• An Inflationary Model in String Theory
• de Sitter Space in Non-Critical String Theory
• Accelerating Cosmologies and Inflation from M/Superstring Theories
• On Noncommutative Open String Theories
• Brane Inflation and Cosmic String Tension in Superstring Theory
• Football Shaped Extra Dimensions and the Absence of Self-Tuning
• Saltatory de Sitter String Vacua
• Codimension-two branes in six-dimensional supergravity and the cosmological constant problem
• A Cosmology of the Brane World
• Killing Spinors and SYM on Curved Spaces
• Volume Stabilization and the Origin of the Inflaton Shift Symmetry in String Theory
• Supergravity Analysis of Hybrid Inflation Model from D3--D7 System
• Inflation in warped geometries
• Cosmic Acceleration from M Theory on Twisted Spaces
• Braneworld inflation
• Warped Tachyonic Inflation in Type IIB Flux Compactifications and the Open-String Completeness Conjecture
• Solving the Hierarchy Problem in Two-Brane Cosmological Models
• Accelerating cosmologies from compactification with a twist
• Brane Gravity at Low Energy
• Second order perturbations in the radius stabilized Randall-Sundrum two branes model
• Brane gravity, higher derivative terms and non-locality
• Anti-D-brane as Dark Matter in Warped String Compactification
• The Effective Potential of the N=0* Yang-Mills Theory
• Gravitational backreaction of anti-D branes in the warped compactification
• Second order perturbations in the radius stabilized Randall-Sundrum two branes model II -- Effect of relaxing strong coupling approximation --
• D/antiD Dark Energy in String Warped Compactification
• Randall-Sundrum two D-brane model
• Gravity in Randall-Sundrum two D-brane model

Cited by in corpus (30)

• Higher order gravity theories and their black hole solutions
• Bulk Singularities and the Effective Cosmological Constant for Higher Co-dimension Branes
• Scaling Solutions to 6D Gauged Chiral Supergravity
• Regularization of conical singularities in warped six-dimensional compactifications
• Induced cosmology on a regularized brane in six-dimensional flux compactification
• Casimir effect in rugby-ball type flux compactifications
• Braneworlds in six dimensions: new models with bulk scalars
• The Effective Field Theory of Codimension-two Branes
• Gravitational Waves in a Codimension Two Braneworld
• Cosmological evolution of regularized branes in 6D warped flux compactifications
• Hybrid brane worlds in the Salam-Sezgin model
• Isolated Minkowski vacua, and stability analysis for an extended brane in the rugby ball
• Gravity on an extended brane in six-dimensional warped flux compactifications
• Dynamical Stability of Six-dimensional Warped Flux Compactification
• Brane cosmological solutions in six-dimensional warped flux compactifications
• Low energy effective theory on a regularized brane in 6D gauged chiral supergravity
• Anti-D-brane as Dark Matter in Warped String Compactification
• Dynamical solutions in the 3-Form Field Background in the Nishino-Salam-Sezgin Model
• Modified Friedmann Equation and Inflation in Warped Codimension-two Braneworld
• Supersymmetric codimension-two branes in six-dimensional gauged supergravity
• Instability of brane cosmological solutions with flux compactifications
• Low energy effective theory on a regularized brane in six-dimensional flux compactifications
• Hybrid compactifications and brane gravity in six dimensions
• A doubly covariant formula of deficit angle and its application to six-dimensional braneworld
• Instability of de Sitter brane and horizon entropy in a 6D braneworld
• Volume stabilization in a warped flux compactification model
• Muon anomalous magnetic moment due to the brane-stretching effect
• The Fate of Unstable Gauge Flux Compactifications
• Properties of the magnetic universe with positive cosmological constant
• Conical singularities regularized in warped six-dimensional flux compactification and their induced brane cosmology