While cubic quasitopological gravity is unique, there a family of quartic gravities in five dimensions. These theories are defined by leading to first-order equation on spherically symmetric spacetimes, resembling the structure equations Lovelock higher dimensions, and also ghost free around anti--de Sitter (AdS). Here we construct slowly rotating black holes these show that for off-diagonal co...

In this paper, we investigate the thermal stability and Joule-Thomson expansion of some new qusitopological black hole solutions. We first study higher-dimensional static quasitopological solutions in presence Born-Infeld, exponential logarithmic nonlinear electrodynamics. The stable regions these are independent types with horizons relating to positive constant curvature, $k=+1$, have a larger...

The notion of p-compact group [10] is a homotopy theoretic version of the geometric or analytic notion of compact Lie group, although the homotopy theory differs from the geometry is that there are parallel theories of p-compact groups, one for each prime number p. A key feature of the theory of compact Lie groups is the relationship between centers and fundamental groups; these play off agains...

By a finite group cover of G, we will mean an M -definable connected group H with a surjective M -definable map H → G, whose kernel K is finite. The kernel K must lie within the center of H, because the action of H on K by conjugation yields a necessarily-trivial homomorphism from the connected group H to the finite group of automorphisms of K. If πi : Hi → G are finite group covers of G for i ...

Abstract In this work, we present the new higher dimensional dyonic black hole solutions of Lovelock-scalar gravity coupled with quasitopological electromagnetism. First, concentrate on dimensionally continued and construct solution that describes holes conformal scalar hair in diverse dimensions. We study physical properties discuss effects electromagnetism field local thermodynamic stability ...

‎This paper develops a basic theory of $H$-groups‎. ‎We‎ ‎introduce a special quotient of $H$-groups and‎ ‎extend some algebraic constructions of topological groups to the category‎ ‎of H-groups and H-maps and then present a functor from this category to the category of quasitopological groups‎.