We study analytically the intermediate and late-time behavior of the massive scalar field in the background of static spherically symmetric brane black hole solutions. The intermediate asymptotic behavior of the scalar field reveals the dependence on the field’s parameter mass as well as the multipole moment $l$, while the late-time behavior has the power-law decay rate independent of those factors.

• Received 7 May 2007

DOI:https://doi.org/10.1103/PhysRevD.76.044010