Lense-Thirring precession in Plebanski-Demianski Spacetimes

An exact expression of Lense-Thirring precession rate is derived for non-extremal and extremal Plebanski-Demianski spacetimes. This formula is used to find the exact Lense-Thirring precession rate in various axisymmetric spacetimes i.e., Kerr-Newman, Kerr-de Sitter etc. We also show that if the Kerr parameter vanishes in the Plebanski-Demianski spacetime, the Lense-Thirring precession does not vanish due to the existence of NUT charge. To derive the Lense-Thirring precession rate in the extremal Plebanski-Demianski spacetime, we first derive the general extremal condition for Plebanski-Demianski spacetimes. This general result could be applied to obtain the extremal limit in any stationary and axisymmetric spacetimes. (orig.)