Quasitopological electromagnetism: Reissner-Nordström black strings in Einstein and Lovelock gravities

Abstract

In this work, we provide consistent compactifications of Einstein-Maxwell and Einstein-Maxwell-Lovelock theories on direct product spacetimes of the form ${\mathcal{M}}_D={\mathcal{M}}_d\times {\mathcal{K}}^p$, where ${\mathcal{K}}^p$ is a Euclidean internal manifold of constant curvature. For these compactifications to take place, it is required the distribution of a precise flux of $p$-forms over the internal manifold. The dynamic of the $p$-forms are demanded to be controlled by two types of interaction. First, by specific couplings with the curvature tensor and, second, by a suitable interaction with the electromagnetic field of the $d$-dimensional brane, the latter being dictated by a modification of the recently proposed theory of Quasitopological Electromagnetism. The field equations of the corresponding compactified theories, which are of second order, are solved and general homogenous charged black p-branes are constructed. We explicitly provide homogenous Reissner-Nordström black strings and black p-branes in Einstein-Maxwell theory and homogenous charged Boulware-Deser black p-branes for quadratic and cubic Maxwell-Lovelock gravities.

References added. Matches published version

References in corpus (16)

• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• The Lovelock Black Holes
• Instabilities of Black Strings and Branes
• Universal regularization prescription for Lovelock AdS gravity
• Kerr-Schild ansatz in Einstein-Gauss-Bonnet gravity: An exact vacuum solution in five dimensions
• On black strings & branes in Lovelock gravity
• Matter without matter: novel Kaluza-Klein spacetime in Einstein-Gauss-Bonnet gravity
• Regular black holes in three dimensions
• Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
• Quasitopological electromagnetism and black holes
• Kaluza-Klein black hole with negatively curved extra dimensions in string generated gravity models
• Electromagnetic Quasitopological Gravities
• Hairy Taub-NUT/Bolt-AdS solutions in Horndeski theory
• Kaluza-Klein cosmology from five-dimensional Lovelock-Cartan theory
• Lovelock Branes
• General Relativity from Einstein-Gauss-Bonnet gravity

Cited by in corpus (12)

• Introductory Notes on Non-linear Electrodynamics and its Applications
• Joule-Thomson expansion of AdS black holes in quasi-topological electromagnetism
• Exact black holes in string-inspired Euler-Heisenberg theory
• Triple points and novel phase transitions of dyonic AdS black holes with quasitopological electromagnetism
• Phase transitions of black strings in dynamical Chern-Simons modified gravity
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• Axial anomaly in nonlinear conformal electrodynamics
• Einstein-Gauss-Bonnet black strings at large $\alpha$
• $R^2$ corrections to the black string instability and the boosted black string
• Thermodynamic topology of dyonic AdS black holes with quasitopological electromagnetism in Einstein-Gauss-Bonnet gravity
• Representation of compact stars using the black string set--up
• Analytic and exponentially localized brane-world Reissner-Nordström-AdS solution: a top-down approach