$\gamma$-Metrics in Higher Dimensions

We introduce five and higher dimensional $\gamma$-metrics. The higher dimensional metrics represent new types of singularities. For dimensions $d>5$ we have obtained $\gamma$-metrics in flat coordinates. We obtain singularities of metrics and for a better understanding of geometrical and physical properties of the five dimensional metric, stable circular orbits are determined by means of the effective potential. Effect of the deformed parameter ($\gamma$) on redshift of the $\gamma$-metric and surface gravity are calculated. Internal solution for the five-dimensional $\gamma$-metric is also obtained.