The Kiselev solution in power-Maxwell electrodynamics

Abstract

In this work we reconsider the solution describing black holes surrounded by a `quintessence'-like fluid. This geometry was introduced by Kiselev in 2003 and its physical source was originally modeled by an anisotropic fluid. We show that the Kiselev geometry is actually an exact solution of the Einstein equations coupled to nonlinear electrodynamics. More specifically, we show that the Kiselev geometry becomes an exact solution in the context of power-Maxwell electrodynamics, using either an electric ansatz or a magnetic one. In both cases the physical source can be modeled by a power-Maxwell Lagrangian, albeit with different powers corresponding to the electric or the magnetic charges. We briefly investigate the motion of charged particles in this geometry. Finally, we give the proper interpretation of the black-hole thermodynamics in this context. Similarly to the Schwarzschild-de Sitter case, we note the presence of the Schottky peaks in the heat capacity, signaling out the possibility of this thermodynamic black hole system to function as a continuous heat machine.

29 pages, 4 figures; v. 3 removed one section, improved the overall presentation

References in corpus (11)

• Can dark energy evolve to the Phantom?
• Higher-dimensional black holes with a conformally invariant Maxwell source
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Higher-dimensional charged black holes solutions with a nonlinear electrodynamics source
• Dilatonic BTZ black holes with power-law field
• Charged de Sitter-like black holes: quintessence-dependent enthalpy and new extreme solutions
• Geodesic Motion in Schwarzschild Spacetime Surrounded by Quintessence
• Decomposition of total stress-energy for the generalised Kiselev black hole
• Geodesic of nonlinear electrodynamics and stable photon orbits
• A Critical Assessment of Black Hole Solutions With a Linear Term in Their Redshift Function
• Bardeen-Kiselev black hole with cosmological constant

Cited by in corpus (4)

• Thermodynamics of Schwarzschild black hole surrounded by quintessence in gravity's rainbow
• Shadows of a generic class of spherically symmetric, static spacetimes
• Anisotropic matter and nonlinear electromagnetics black holes
• Magnetic black hole in Einstein-Dilaton-Square root nonlinear electrodynamics