Toward numerical relativity in rs-ii model

To investigate non-trivial connection between gauge theory and higher-dimensional gravity theory, we try to establish a numerical scheme for a higher-dimensional spacetime with negative cosmological constant. The cosmological constant warps the spacetime, and then the asymptotic boundary condition becomes nontrivial. We discuss how such a problem can be circumvented by the modification of the scheme. We illustrate how to subtract the effect of the negative cosmological constant from the metric in the aid of conformal transformation. We also discuss how to take the brane into the scheme to apply this technique to the numerical analysis of the braneworld models.