Abstract:
In the stabilized Randall–Sundrum model, we obtain and solve linearized equations of motion for gravitational and scalar fields in the case of matter on the brane. We find the Newtonian limit of an effective
four-dimensional theory on branes with negative tension and explicitly isolate the radion field contribution.
Keywords:
Kaluza–Klein theory, brane, radion stabilization, linearized gravity, Newtonian limit.
Citation:
I. P. Volobuev, Yu. S. Mikhailov, M. N. Smolyakov, “Newtonian limit in the stabilized Randall–Sundrum model”, TMF, 156:2 (2008), 226–236; Theoret. and Math. Phys., 156:2 (2008), 1159–1168