Braneworld dynamics with the BRANECODE
Abstract
We give a full nonlinear numerical treatment of timedependent 5D braneworld geometry, which is determined selfconsistently by potentials for the scalar field in the bulk and at two orbifold branes, supplemented by boundary conditions at the branes. We describe the BRANECODE, an algorithm which we designed to solve the dynamical equations numerically. We apply the BRANECODE to braneworld models and find several novel phenomena of the brane dynamics. Starting with static warped geometry with de Sitter branes, we find numerically that this configuration is often unstable due to a tachyonic mass of the radion during inflation. If the model admits other static configurations with lower values of de Sitter curvature, this effect causes a violent restructuring towards them, flattening the branes, which appears as a lowering of the 4D effective cosmological constant. Braneworld dynamics can often lead to brane collisions. We find that, in the presence of the bulk scalar field, the 5D geometry between colliding branes approaches a universal, homogeneous, anisotropic strong gravity Kasnerlike asymptotic, irrespective of the bulk or brane potentials. The Kasner indices of the brane directions are equal to each other but different from that of the extra dimension.
 Publication:

Physical Review D
 Pub Date:
 April 2004
 DOI:
 10.1103/PhysRevD.69.084017
 arXiv:
 arXiv:hepth/0309001
 Bibcode:
 2004PhRvD..69h4017M
 Keywords:

 04.50.+h;
 98.80.Cq;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 Particletheory and fieldtheory models of the early Universe;
 High Energy Physics  Theory;
 Astrophysics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 38 pages, 10 figures