2013/08/31 by Fabrizio Canfora, Alex Giacomini, Sergey A. Pavluchenko · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Compactification (mathematics) #Cosmology and Gravitation Theories #Coupling constant #Curvature #Einstein #Extra dimensions #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.88.064044
published as Phys. Rev. D 88, 064044 (2013) · v2: paper altered to match the version accepted to PRD
arxiv created 2013/09/10 · openalex publication_date 2013/09/23 · arxiv updated 2013/09/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper we study dynamical compactification in Einstein-Gauss-Bonnet gravity from an arbitrary dimension for generic values of the coupling constants. We show that, when the curvature of the extra-dimensional space is negative, for any value of the spatial curvature of the four-dimensional space-time one obtains a realistic behavior in which for asymptotic time both the volume of the extra dimension and expansion rate of the four-dimensional space-time tend to a constant. Remarkably, this scenario appears within the open region of parameters space for which the theory does not admit any maximally symmetric (4+D)-dimensional solution, which gives to the dynamical compactification an interpretation as geometric frustration. In particular there is no need to fine-tune the coupling constants of the theory so that the present scenario does not violate the ``naturalness hypothesis.'' Moreover we show that with an increase of the number of extra dimensions the stability properties of the solution are increased.