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 M D = M d × K p , where 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.

Triple points and novel phase transitions of dyonic AdS black holes with quasitopological electromagnetism

“…Black strings can also found in Ref. [55] in Einstein and Lovelock gravities. These studies shed new light on understanding the black hole solution with quasi-topological electromagnetism.…”

Introductory Notes on Non‐linear Electrodynamics and its Applications

“…For instance, NEDs coupled to gravity have been used to construct new black hole solutions and study their properties and stability (see e.g. [8-10, 12, 35, 77-95] and also [21,52,53,[96][97][98][99][100][101][102][103][104][105] for the latest developments and review), to create cosmological models (which might avoid initial Big-Bang singularities), [106,107] to mimic dark energy and generate an accelerated expansion of the universe, [108][109][110][111][112][113][114][115] as well as the context of AdS/CFT correspondence and gravity/CMT holography (see e.g. [14,[116][117][118][119][120][121][122] and [123] for a recent review and more references).…”

Joule-Thomson expansion of AdS black holes in quasi-topological electromagnetism

“…It would be interesting to explore the Joule-Thomson expansion in the extended quasi-topological electromagnetism defined in [51] in which it is introduced a new field represented by a p-form allowing to construct homogeneous charged black strings with or without cosmological constant in arbitrary dimensions [52]. Given the similarities between both electromagnetic theories it is expected to find analogies in the behaviour of inversion and isenthalpic curves as the existence of three branches.…”