Holographic complexity of Born-Infeld black holes

In this paper, according to CA duality, we study complexity growth of Born-Infeld (BI) black holes. As a comparison, we study action growth of dyonic black holes in Einstein-Maxwell gravity at the beginning. We study action growth of electric BI black holes in dRGT massive gravity, and find BI black holes in massive gravity complexify faster than the Einstein gravity counterparts. We study action growth of the purely electric and magnetic Einstein-Born-Infeld (EBI) black holes in general dimensions and the dyonic EBI black holes in four-dimensions, and find the manners of action growth are different between electric and magnetic EBI black holes. In all the gravity systems we considered, we find action growth rates vanish for the purely magnetic black holes, which is unexpected. In order to ameliorate the situation, we add the boundary term of matter field to the action and discuss the outcomes of the addition.Comment: 26 pages, 6 figur

Novel accelerating Einstein vacua and smooth inhomogeneous Riemannian manifolds

A novel class of Einstein vacua is presented, which possess non-vanishing cosmological constant and accelerating horizon with the topology of $S^{D-3}$ fibration over $S^{1}$. After Euclideanization, the solution describes a conformally distorted $S^{D-1}$ fibration over $S^1$, which is smooth, compact and inhomogeneous, and can be regarded as analogue of Don Page's gravitational instanton.Comment: 14 pages. v2: Reference adde