On black strings & branes in Lovelock gravity

Abstract

It is well known that black strings and branes may be constructed in pure Einstein gravity simply by adding flat directions to a vacuum black hole solution. A similar construction holds in the presence of a cosmological constant. While these constructions fail in general Lovelock theories, we show that they carry over straightforwardly within a class of Lovelock gravity theories that have (locally) unique constant curvature vacua.

12 pages, Latex, references addded

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• Black Holes in Pure Lovelock Gravities
• Higher order gravity theories and their black hole solutions
• Clouds of strings in third-order Lovelock gravity
• Hayward black holes in Einstein-Gauss-Bonnet gravity
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• Shear viscosity and instability from third order Lovelock gravity
• The relation between F(R) gravity and Einstein-conformally invariant Maxwell source
• Quintessence background for $5D$ Einstein-Gauss-Bonnet black holes
• Lovelock black holes with maximally symmetric horizons
• Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
• Kaluza-Klein black hole with negatively curved extra dimensions in string generated gravity models
• Black Holes without Mass and Entropy in Lovelock Gravity
• Topological black holes in pure Gauss-Bonnet gravity and phase transitions
• Static and rotating black strings in dynamical Chern-Simons modified gravity
• Noncommutative geometry inspired Einstein-Gauss-Bonnet black holes
• Nonsingular Black Holes in $4D$ Einstein--Gauss--Bonnet Gravity
• On generalized quasi-topological cubic-quartic gravity: thermodynamics and holography
• Static solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory in vacuum
• An Extended Kerr-Schild Ansatz
• Quasitopological electromagnetism: Reissner-Nordström black strings in Einstein and Lovelock gravities
• Homogeneous Black Strings in Einstein-Gauss-Bonnet with Horndeski hair and beyond
• Einstein-Gauss-Bonnet black strings
• The large D limit of dimensionally continued gravity
• Renormalized holographic entanglement entropy in Lovelock gravity
• C-Functions in Lovelock Gravity
• Instability of black strings in third-order Lovelock theory
• Charged black strings and black branes in Lovelock theories
• Lovelock black p-branes with fluxes
• Spinning black strings in five dimensional Einstein--Gauss-Bonnet gravity
• A black hole with torsion in 5D Lovelock gravity
• Lovelock Branes
• General Relativity from Einstein-Gauss-Bonnet gravity
• Yang-Mills black holes in Quasitopological gravity
• Thurston Geometries in Three-Dimensional New Massive Gravity
• Black branes in four-dimensional conformal equivalent theories
• Einstein-Gauss-Bonnet black strings at large $\alpha$
• Meronic AdS Black Holes in Gauss-Bonnet Theory
• Quasi-local energy and ADM mass in pure Lovelock gravity
• Kerr-Schild Ansatz in Lovelock Gravity
• $R^2$ corrections to the black string instability and the boosted black string
• Thin-shell Wormholes with Ordinary Matter in Pure Gauss-Bonnet Gravity
• Conical defects and holography in topological AdS gravity
• Conserved quantities for black hole solutions in pure Lovelock gravity