Pure Gauss-Bonnet NUT black hole with and without non-central singularity

Abstract

It is known that NUT solution has many interesting features and pathologies like being non-singular and having closed timelike curves. It turns out that in higher dimensions horizon topology cannot be spherical but it has instead to be product of $2$-spheres so as to retain radial symmetry of spacetime. In this letter we wish to present a new solution of pure Gauss-Bonnet $\Lambda$-vacuum equation describing a black hole with NUT charge. It has three interesting cases: (a) black hole with both event and cosmological horizons with singularity being hidden behind the former, (b) a regular spacetime free of both horizon and singularity, and (c) black hole with event horizon without singularity and cosmological horizon. Singularity here is always non-centric at $r\ne 0$.

arXiv comment4 pages, 3 figures

References in corpus (16)

• Classical Monopoles: Newton, NUT-space, gravomagnetic lensing and atomic spectra
• General Kerr-NUT-AdS Metrics in All Dimensions
• Nut Charged Space-times and Closed Timelike Curves on the Boundary
• NUT-Charged Black Holes in Gauss-Bonnet Gravity
• A Bestiary of Higher Dimensional Taub-NUT-AdS Spacetimes
• Higher Dimensional Taub-NUTs and Taub-Bolts in Einstein-Maxwell Gravity
• Circular motion in NUT space-time
• On some novel features of the Kerr-Newman-NUT Spacetime
• New Taub-NUT-Reissner-Nordström spaces in higher dimensions
• Static pure Lovelock black hole solutions with horizon topology ${\mathbf{S}}^{(\mathbf{n})}\times {\mathbf{S}}^{(\mathbf{n})}$
• Universal Black Holes
• A stationary vacuum solution dual to the Kerr solution
• Gravitational field of a rotating gravitational dyon
• Topological Characterization of Higher Dimensional Charged Taub-NUT Instantons
• Pure Gauss-Bonnet NUT Black Hole Solution: I
• Universal $p$-form black holes in generalized theories of gravity