Gravity on de-Sitter 3-Brane, Induced Einstein-Hilbert Term and Massless Gravitons
نویسنده
چکیده
We study five-dimensional Einstein gravity coupled covariantly to 3-brane with induced gravity on the brane, and consider warped D=4 de Sitter background field solution on the brane. Following background field method we obtain the field equation described by the Lagrangean terms bilinear in quantized gravitational field. In such a free field approximation on curved background we calculate explicitely the five-dimensional massive terms as well as the mass-like ones on the brane. We consider the eigenvalue problem of Schrödinger-like equation in fifth dimensions and discuss the existence of massless graviton excitations on the brane without and with induced gravity.
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