3 research outputs found
Gravity on de-Sitter 3-Brane, Induced Einstein-Hilbert Term and Massless Gravitons
We study the extensions of DGP model which are described by five-dimensional
Einstein gravity coupled covariantly to 3-brane with induced gravity term and
consider warped D=4 de Sitter background field solutions on the brane. The case
with included D=5 AdS cosmological term is also considered. Following
background field method we obtain the field equations described by the
Lagrangean terms bilinear in gravitational field. In such a linear field
approximation on curved dS background we calculate explicitly the
five-dimensional massive terms as well as the mass-like ones on the brane. We
investigate the eigenvalue problem of Schr\"{o}dinger-like equation in fifth
dimension for graviton masses and discuss the existence of massless as well as
massive graviton modes in the bulk and on the brane without and with induced
gravity.Comment: LaTeX 26 pages, the version which appears in Class. Quant. Gra