Kerr-de Sitter Spacetimes in Various Dimensions and dS/CFT Correspondence

We consider the Kerr de Sitter (Kerr-dS) black hole in various dimensions. Introducing a counterterm, we show that the total action of these spacetimes are finite. We compute the masses and the angular momentum of Kerr-dS spaces with one rotational parameter in four, five and seven dimensions. Also these conserved charges are computed for the case of Kerr-dS with two rotational parameters in five dimension. Although the angular momentum density due to the counterterm is non-zero, it gives a vanishing contribution to the total angular momentum. Also we find that the total angular momentum of the spacetime is independent of the radius of the boundary for all the cases. A fact which is not true for the total mass of the system. EMail: [email protected]