Wall solution with weak gravity limit in five-dimensional supergravity

In five-dimensional supergravity, an exact solution of BPS wall is found for a gravitational deformation of the massive Eguchi–Hanson nonlinear sigma model. The warp factor decreases for both infinities of the extra dimension. Thin wall limit gives the Randall–Sundrum model without fine-tuning of input parameters. We also obtain wall solutions with warp factors which are flat or increasing in one side, by varying a deformation parameter of the potential.