First-order framework and domain-wall/brane-cosmology correspondence

Abstract

We address the possibility of finding domain wall solutions from cosmological solutions in brane cosmology. We find first-order equations for corresponding cosmology/domain wall solutions induced on 3-branes. The quadratic term of energy density in the induced Friedmann equation plays a non-standard role and we discuss the way the standard cosmological and domain wall models are recovered as the brane tension becomes large and show how they can be described by four-dimensional supergravity action in such a limit. Finally, we show that gravity on the 3-brane is locally localized as one moves away from the two-dimensional domain walls living on the brane.Comment: Revtex4, 10 pages, 7 figures; version to appear in PL

Modeling Dark Sector in Horndeski Gravity at First-Order Formalism

“…As we shall see below, for arbitrary values of β = 0, we should apply numerical methods to find exact solutions for the equations (8) and (12). We, however, will return later to the analytical solution above to make a discussion about the phantom-divide line crossing issues in an easier way.…”

“…Thus, we shall find such cosmological solutions by using numerical methods. In the present case, we have applied the Runge-Kutta method to first-order equations (8) for a(t) and φ(t) and second-order equation(12) for W (φ). The boundary conditions we used here were the following: W (0) = 1, W ′ (0) = 1, φ(0) = 0.…”

Hybrid Bloch brane

“…In the current study we deal with the case of a flat brane, that is, with a brane with Minkowski internal geometry, but the subject is related to several other issues, in particular with investigations of bent branes, engendering an anti de Sitter or de Sitter internal geometry [30][31][32], with the domainwall/brane-cosmology correspondence [33][34][35] and with the new concept of holographic cosmology [36,37] which is motivated by the AdS/CFT correspondence.…”

From sine-Gordon to vacuumless systems in flat and curved spacetimes

“…In this case, the field solution is asymptotically divergent and has infinite amplia e-mail: bazeia@fisica.ufpb.br tude, but keeps its topological character well behaved [7]. It is worth mentioning that vacuumless systems appear in a diversity of contexts in high energy physics [5][6][7][8][9][10][11].…”