2004/01/31 by Thorsten Battefeld, T. J. Battefeld, Subodh P. Patil +3 · 29 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bounded function #Brane #Classical mechanics #Collision #Computer science #Cosmology and Gravitation Theories #De Sitter universe #Ekpyrotic universe #Galaxies: Formation, Evolution, Phenomena #Gravitational singularity #Invertible matrix #Mathematical analysis #Mathematics #Perturbation (astronomy) #Physics #Quantum mechanics #Singular perturbation #Singularity #Theoretical physics #Universe #astro-ph #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.70.066006
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 70(6) (American Physical Society) · 15 pages, minor modifications, a few typos corrected
arxiv created 2004/05/04 · openalex publication_date 2004/09/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The question of how perturbations evolve through a bounce in the Cyclic and Ekpyrotic models of the Universe remains a topical one. Issues concerning singularities at the background level and at the level of perturbation theory continue to be a matter of debate. In this report we hope to demonstrate a nonsingular collision between the boundary branes at the background level, and circumstances under which all perturbation variables remain bounded through the collision. As expected, we find most collisions to be singular even in the full 5D formalism, where first order perturbation theory breaks down for at least one perturbation variable. Only in the case that the boundary branes approach each other with constant velocity shortly before the bounce, can a consistent, nonsingular solution be found. It is then possible to follow the perturbations explicitly until the actual collision. In this case, we find that if a scale-invariant spectrum developed on the hidden brane, it will get transferred to the visible brane during the bounce.