Gravity, stability, and energy conservation on the Randall-Sundrum brane world
Gravity, stability, and energy conservation on the Randall-Sundrum brane world
We carefully investigate the gravitational perturbation of the Randall-Sundrum (RS) single brane-world solution [hep-th/9906064], based on a covariant curvature tensor formalism recently developed by us. Using this curvature formalism, it is known that the `electric' part of the 5-dimensional Weyl tensor, denoted by $E_{\mu\nu}$, gives the leading order correction to …