Comments on conformal stability of brane-world models

Abstract

The stability of 5-D brane-world models under conformal perturbations is investigated. The analysis is carried out in the general case and then it is applied to particular solutions. It is shown that models with the Poincaré and the de Sitter branes are unstable because they have negative mass squared of gravexcitons whereas models with the Anti de Sitter branes have positive gravexciton mass squared and are stable. It is also shown that 4-D effective cosmological and gravitational constants on branes as well as gravexciton masses undergo hierarchy: they have different values on different branes. PACS number(s): 04.50.+h, 98.80.Hw

Asymptotical AdS space from nonlinear gravitational models with stabilized extra dimensions

“…According to the discussion in section 2 (see eqs. (21) and (22)) this results in an asymptotically constant curvature space-time (for a non-zero minimum of U (φ)).…”

“…A brane matter contribution was taken into account, e.g., in[14].2 A detailed discussion of radion stabilization and dynamics in RS models is given, e.g., in[19,20]. An extended list of references on this topic can be found in[21].…”

On new gravitational instantons describing creation of braneworlds

“…µν . It results in an appropriate rescaling of effective physical values of, for example, effective 4-D cosmological and gravitation constants on the brane (see [19]). Obviously, physical Kaluza-Klein masses for this observer are similarly rescaled, M → m (ph) = M/a i (r i ).…”

“…Thus, the braneworld instantons, as well as the birth of the 6 It is clear, that to an observer on an ith brane at r = r i , the physical metric is the induced metric on this brane: g (4) (ph)µν = a 2 i (r i )g (4) µν . It results in an appropriate rescaling of effective physical values of, for example, effective 4D cosmological and gravitation constants on the brane (see [19]). Obviously, physical KK masses for this observer are similarly rescaled, M → m (ph) = M/a i (r i ).…”