Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-06-16
Phys.Rev. D68 (2003) 104007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, 2 figures, RevTeX 4. Revised version accepted for publication in Physical Review D
Scientific paper
10.1103/PhysRevD.68.104007
In this paper we study thick-shell braneworld models in the presence of a Gauss-Bonnet term. We discuss the peculiarities of the attainment of the thin-shell limit in this case and compare them with the same situation in Einstein gravity. We describe the two simplest families of thick-brane models (parametrized by the shell thickness) one can think of. In the thin-shell 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 Gauss-Bonnet term breaks this equivalence. In the second case, a shell will always keep some non-trivial internal structure, either on the matter or on the geometric sectors, even in the thin-shell limit.
Barcelo Carlos
Germani Cristiano
Sopuerta Carlos F.
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