The stability of the modular field in a warped brane world scenario has been
a subject of interest for a long time. Goldberger \& Wise ( GW ) proposed a
mechanism to achieve this by invoking a massive scalar field in the bulk
space-time neglecting the back-reaction. In this work, we examine the
possibility of stabilizing the modulus without bringing in any external scalar
field. We show that instead of flat 3-branes as considered in Randall-Sundrum (
RS ) warped braneworld model, if one considers a more generalized version of
warped geometry with de-Sitter 3-brane, then the brane vacuum energy
automatically leads to a modulus potential with a metastable minimum. Our
result further reveals that in this scenario the gauge hierarchy problem can
also be resolved for appropriate choice of brane cosmological constant.Comment: 8 pages, 4 figure
