Phantom BTZ black holes

Abstract

Motivated by the impact of the phantom field (or anti-Maxwell field) on the structure of three-dimensional black holes in the presence of the cosmological constant, we present the first extraction of solutions for the phantom BTZ (A)dS black hole. In this study, we analyze the effect of the phantom field on the horizon structure. Furthermore, we compare the BTZ black holes in the presence of both the phantom and Maxwell fields. Additionally, we calculate the conserved and thermodynamic quantities of the phantom BTZ black holes, demonstrating their compliance with the first law of thermodynamics. Subsequently, we assess the effects of the electrical charge and the cosmological constant on the local stability in the canonical ensemble by considering these fields with respect to the heat capacity. We then investigate the global stability area of the BTZ black holes with phantom and Maxwell fields within the grand canonical ensemble using Gibbs free energy. In this analysis, we evaluate the influence of the electrical charge and the cosmological constant on this area.

12 pages

References in corpus (20)

• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Cosmological Evolution of a Quintom Model of Dark Energy
• P-V criticality in the extended phase space of black holes in massive gravity
• van der Waals like behaviour of topological AdS black holes in massive gravity
• Critical phenomena of static charged AdS black holes in conformal gravity
• Phantom Black Holes in Einstein-Maxwell-Dilaton Theory
• Phantom Black Holes and Sigma Models
• Motion of Particles and Gravitational Lensing Around (2+1)-dimensional BTZ black holes in Gauss-Bonnet Gravity
• Island, Page Curve and Superradiance of Rotating BTZ Black Holes
• Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
• Thermodynamic stability and P-V criticality of nonsingular-AdS black holes endowed with clouds of strings
• Thermodynamics and Optical Properties of Phantom AdS Black Holes in Massive Gravity
• Analytic Electrically Charged Black Holes in $F(R)$-ModMax Theory
• Topological phantom AdS black holes in $F(R)$ gravity
• Three-dimensional energy-dependent $C$-metric: black hole solutions
• Three-dimensional accelerating AdS black holes in $F(R)$ gravity
• Instability of BTZ black holes in parity-even massive gravity

Cited by in corpus (1)

• Phantom BTZ Black Holes: Thermal Properties Under Perturbative Corrections