Third order quasi-topological black hole with power-law Maxwell nonlinear source

Abstract

In this paper, we construct a new class of solutions for five dimensional third order quasi-topological black holes coupled to a power-law Maxwell nonlinear electrodynamics. To have real solutions, we should establish condition $\mu <-\frac{{\lambda }^2}{3}$ and to have finite solutions at infinity, the parameter of power-law Maxwell theory "s" should obey $\frac{1}{2}<s\le 2$. Power-law Maxwell lagrangian is successful to set conformal invariance in higher dimensions. Also, this theory can reduce the divergence of the electrical field at the origin that is caused in linear Maxwell theory. As the value of parameter "s" increases, this divergence reduces more. In asymptotically anti-de sitter spacetimes, these obtained solutions lead to a black hole with two horizons for small values of $s$ and $q$. Also, solutions for $s=2$ have different behaviors with respect to the ones for other values of $s$. For negative and small values of parameter $\mu$, these solutions can describe a black hole with two horizons. An other important tip is that this black hole has thermal stability just for anti-de sitter solutions if its temperature is positive.

arXiv comment15 pages, 12 figures

References in corpus (33)

• Black Hole Entropy is Noether Charge
• Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories
• Cylindrical Black Hole in General Relativity
• Pair Production of Topological anti de Sitter Black Holes
• Black plane solutions in four dimensional spacetimes
• Rotating Charged Black Strings in General Relativity
• Black Holes in Quasi-topological Gravity
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Born-Infeld black holes in the presence of a cosmological constant
• Charged black points in General Relativity coupled to the logarithmic $U(1)$ gauge theory
• Black holes and asymptotics of 2+1 gravity coupled to a scalar field
• Asymptotic charged BTZ black hole solutions
• Making Anti-de Sitter Black Holes
• Two-Dimensional Black Holes and Planar General Relativity
• Asymptotic Reissner-Nordstrom black holes
• de Sitter black hole with a conformally coupled scalar field in four dimensions
• Topological Censorship
• Conformally dressed black hole in 2+1 dimensions
• Topological black holes dressed with a conformally coupled scalar field and electric charge
• Stability properties of black holes in self-gravitating nonlinear electrodynamics
• Black Holes in (Quartic) Quasitopological Gravity
• Topology of Event Horizons and Topological Censorship
• Viscosity Bound, Causality Violation and Instability with Stringy Correction and Charge
• Charge rotating black string in gravitating nonlinear electromagnetic fields
• Shear Viscosity from AdS Born-Infeld Black Holes
• Thermodynamics of Rotating Charged Black Strings and (A)dS/CFT Correspondence
• Thermodynamics of d-dimensional charged rotating black brane and AdS/CFT correspondence
• Rotating Topological Black Branes in Various Dimensions and AdS/CFT Correspondence
• Quasi-topological Reissner-Nordström Black Holes
• Lifshitz Quartic Quasitopological Black Holes
• Quartic Quasi-Topological-Born-Infeld Gravity
• Reissner-Nordstrom Black Holes in Quartic Quasi-Topological Gravity Theory

Cited by in corpus (5)

• Charged AdS black holes in Gauss-Bonnet gravity and nonlinear electrodynamics
• Joule-Thomson expansion of the quasitopological black holes
• Quark-antiquark confinement and nonlinear electrodynamics
• Physical and thermodynamic properties of quartic quasitopological black holes and rotating black branes with nonlinear source
• Thermodynamics of static solutions in (n+1)-dimensional Quintic Quasitopological gravity