The properties and geodesics related to the NUT--Taub-like spacetime

Some properties related to the NUT--Taub-like spacetime,such as the surface of infinite red-shift, horizon, singularityand the area of the NUT--Taub-like black hole are discussed.Furthermore, the geodesics in the NUT--Taub-like spacetime areobtained in some special cases. Specifically, the circular orbitsfor a massive particle are derived, which can reduce to the casesof the Schwarzschild spacetime and the NUT--Taub spacetime whenm^*=0 and m^*ll M, respectively.