Point Particle Motion in DFT and a Singularity-Free Cosmological Solution

Abstract

We generalize the action for point particle motion to a double field theory background. After deriving the general equations of motion for these particle geodesics, we specialize to the case of a cosmological background with vanishing antisymmetric tensor field and constant dilaton. We then show that the geodesics can be extended to infinity in both time directions once we define the appropriate physical clock. Following this prescription, we also show the existence of a singularity-free cosmological solution.

8 pages, 3 figures

References in corpus (6)

• Double Field Theory
• Tensor Modes from a Primordial Hagedorn Phase of String Cosmology
• String Gas Cosmology and Structure Formation
• Closed String Thermodynamics and a Blue Tensor Spectrum
• Resolution of Hagedorn singularity in superstrings with gravito-magnetic fluxes
• The rotation curve of a point particle in stringy gravity

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• $\mathbf{O}(D,D)$ completion of the Friedmann equations
• On the phase space in Double Field Theory
• Stable Singularity-free Cosmological Solutions in non-projectable Horava-Lifshitz Gravity
• Limitations of an Effective Field Theory Treatment of Early Universe Cosmology
• Inflation in String Field Theory
• Palatini Higgs inflation and the refined dS conjecture
• Perturbations in $\mathbf{O}(D,D)$ string cosmology from double field theory
• Stability Analysis of the Cosmological Dynamics of $O(D,D)$-complete Stringy Gravity
• Black hole solutions in double field theory