BHT2 - Self-Graviting Systems (black Rings and Black Strings) |
Speaker_ |
Hendi, S. Hossein |
Co-autors |
M. H. Dehghani |
Talk _ |
Taub-NUT/Bolt Black Holes in Gauss-Bonnet-Maxwell Gravity |
Abstract _ |
We present a class of higher dimensional solutions to GBM equations in $2k+2$ dimensions with a $U(1)$ fibration over a $2k$-dimensional base space $\mathcal{B}$. These solutions depend on two extra parameters, other than the mass and the NUT charge, which are the electric charge $q$ and the electric potential at infinity $V$. We find that the form of metric is sensitive to geometry of the base space, while the form of electromagnetic field is independent of $\mathcal{B}$. We investigate the existence of Taub-NUT/bolt solutions and find that in addition to the two conditions of uncharged NUT solutions,there exist two other conditions. We have non-extreme NUT solutions in $2+2k$ dimensions only when the $2k$-dimensional base space is chosen to be $\mathbb{CP}^{2k}$. We also find that the GBM gravity has extremal NUT solutions whenever the base space is a product of 2-torii with at most a $2$-dimensional factor space of positive curvature, even though there a curvature singularity exists at $r=N$. |