  Since the Brans-Dicke theory is conformal related to the dilaton gravity
theory, by applying a conformal transformation to the dilaton gravity theory,
we derived the cosmological constant term in the Brans-Dicke theory and the
physical solution of black holes with the cosmological constant. It is found
that, in four dimensions, the solution is just the Kerr-Newman-de Sitter
solution with a constant scalar field. However, in $n>4$ dimensions, the
solution is not yet the $n$ dimensional Kerr-Newman-de Sitter solution and the
scalar field is not a constant in general. In Brans-Dicke-Ni theory, the
resulting solution is also not yet the Kerr-Newman-de Sitter one even in four
dimensions. The higher dimensional origin of the Brans-Dicke scalar field is
briefly discussed.
