Thinshell limit of branes in the presence of GaussBonnet interactions
Abstract
In this paper we study thickshell braneworld models in the presence of a GaussBonnet term. We discuss the peculiarities of the attainment of the thinshell limit in this case and compare them with the same situation in Einstein gravity. We describe the two simplest families of thickbrane models (parametrized by the shell thickness) one can think of. In the thinshell limit, one family is characterized by the constancy of its internal density profile (a simple structure for the matter sector) and the other by the constancy of its internal curvature scalar (a simple structure for the geometric sector). We find that these two families are actually equivalent in Einstein gravity and that the presence of the GaussBonnet term breaks this equivalence. In the second case, a shell will always keep some nontrivial internal structure, either on the matter or on the geometric sector, even in the thinshell limit.
 Publication:

Physical Review D
 Pub Date:
 November 2003
 DOI:
 10.1103/PhysRevD.68.104007
 arXiv:
 arXiv:grqc/0306072
 Bibcode:
 2003PhRvD..68j4007B
 Keywords:

 04.50.+h;
 11.25.Mj;
 98.80.Cq;
 Gravity in more than four dimensions KaluzaKlein theory unified field theories;
 alternative theories of gravity;
 Compactification and fourdimensional models;
 Particletheory and fieldtheory models of the early Universe;
 General Relativity and Quantum Cosmology;
 Astrophysics;
 High Energy Physics  Theory
 EPrint:
 17 pages, 2 figures, RevTeX 4. Revised version accepted for publication in Physical Review D