Dark Energy, Inflation and Extra Dimensions

Abstract

We consider how accelerated expansion, whether due to inflation or dark energy, imposes strong constraints on fundamental theories obtained by compactification from higher dimensions. For theories that obey the null energy condition (NEC), we find that inflationary cosmology is impossible for a wide range of compactifications; and a dark energy phase consistent with observations is only possible if both Newton's gravitational constant and the dark energy equation-of-state vary with time. If the theory violates the NEC, inflation and dark energy are only possible if the NEC-violating elements are inhomogeneously distributed in thecompact dimensions and vary with time in precise synchrony with the matter and energy density in the non-compact dimensions. Although our proofs are derived assuming general relativity applies in both four and higher dimensions and certain forms of metrics, we argue that similar constraints must apply for more general compactifications.

26 pages, 1 figure. v2: reference added, typos corrected

References in corpus (27)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• de Sitter Vacua in String Theory
• Hierarchies from Fluxes in String Compactifications
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Supergravity description of field theories on curved manifolds and a no go theorem
• Flux Compactification
• Cosmic Evolution in a Cyclic Universe
• The phantom menaced: constraints on low-energy effective ghosts
• A Cyclic Model of the Universe
• Null energy condition and superluminal propagation
• New Ekpyrotic Cosmology
• Scales and hierarchies in warped compactifications and brane worlds
• Dynamics of warped compactifications and the shape of the warped landscape
• Reheating the Universe after String Theory Inflation
• Gradient instability for w < -1
• The fate of four dimensions
• Classical Stabilization of Homogeneous Extra Dimensions
• Holographic Systematics of D-brane Inflation
• Consistency Conditions for Brane Worlds in Arbitrary Dimensions
• The null energy condition and instability
• Oxidised cosmic acceleration
• Tunneling with negative tension

Cited by in corpus (47)

• Use of MESSENGER radioscience data to improve planetary ephemeris and to test general relativity
• Tests of General relativity with planetary orbits and Monte Carlo simulations
• On Slow-roll Moduli Inflation in Massive IIA Supergravity with Metric Fluxes
• Supersymmetry Breaking by Fluxes
• Supersymmetric Galileons
• Supersymmetric P(X,phi) and the Ghost Condensate
• Constraints on String Cosmology
• Challenges for String Cosmology
• Defrosting in an Emergent Galileon Cosmology
• Weakly Coupled de Sitter Vacua with Fluxes and the Swampland
• Tachyons in Classical de Sitter Vacua
• Codimension-2 Brane-Bulk Matching: Examples from Six and Ten Dimensions
• Accelerating dark energy models with anisotropic fluid in Bianchi type-$V{I}_0$ space-time
• Testing Theories of Gravity with Planetary Ephemerides
• No classical (anti-)de Sitter solutions with O8-planes
• Eternal Inflation With Non-Inflationary Pocket Universes
• Dark Energy, Extra Dimensions, and the Swampland
• Stringy Running Vacuum Model and current Tensions in Cosmology
• Energy Conditions in Jordan Frame
• Born Again Universe
• Extra dimensions, warped compactifications and cosmic acceleration
• Seeking Evolution of Dark Energy
• Constraints and Horizons for de Sitter with Extra Dimensions
• Is Trans-Planckian Censorship a Swampland Conjecture?
• Dark energy, Ricci-nonflat spaces, and the Swampland
• A no-go for no-go theorems prohibiting cosmic acceleration in extra dimensional models
• The inheritance of energy conditions: Revisiting no-go theorems in string compactifications
• Stability, dark energy parameterization and swampland aspect of Bianchi Type-$V{I}_h$ cosmological models with f(R, T)-gravity
• A modern view of galaxies and their stellar populations
• Sculpting the Extra Dimensions: Inflation from Codimension-2 Brane Back-reaction
• The universe formation by a space reduction cascade with random initial parameters
• Variable $G$ Correction for Dark Energy Model in Higher Dimensional Cosmology
• Deriving the Gibbons-Maldacena-Nunez no-go theorem from the Raychaudhuri equation
• Horizon Complementarity and Casimir Violations of the Null Energy Condition
• Dynamical Compactification with Matter
• The scalar-torsion gravity corrections in the first-order inflationary models
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Singularity theorems for warped products and the stability of spatial extra dimensions
• Contemplating the fate of modified gravity
• Bulk Scale Factor at Very Early Universe
• Spacetime Instability and Quantum Gravity as Low Energy Effective Field Theory
• Generalization of Instanton-Induced Inflation and Dynamical Compactification
• Extra Dimensions, Dilaton and Dark Energy
• Anisotropic evolution of D-dimensional FRW spacetime
• Time Dependent String Compactification: Towards Bouncing Cosmology
• More on Bianchi I spacetimes and f(T) gravity
• Electroweak Quintessence Axion as Dark Energy