Abstract
We construct a new class of dyonic dilaton black hole solutions in the background of Anti-de Sitter (AdS) spacetime. In order to find an analytical solution which satisfy all the field equations, we should consider the string case where the dilaton coupling is $\alpha=1$. The asymptotic behaviour of the solution ($r\rightarrow\infty$) is exactly AdS, where the dilaton field becomes zero and the metric function reduces to $f(r)\rightarrow -\Lambda r^2/3$. In this spacetime, black hole horizons and cosmological horizons, can be a two-dimensional positive, zero or negative constant curvature surface. We study the physical properties of the solution and show that depending on the metric parameters, these solutions can describe black holes with one or two horizons or a naked singularity. We investigate thermodynamics of the solutions by calculating the charge, mass, temperature, entropy and the electric potential of these solutions and disclose that these conserved and thermodynamic quantities satisfy the first law of black hole thermodynamics. We also analyze thermal stability of the solutions and find the conditions for which we have a stable dyonic dilaton black hole.
Highlights
The first attempt to consider a minimal coupling between the scalar fields and gravity was done by Fisher, who found a static and spherically symmetric solution of the Einsteinmassless scalar field equations [1]
We construct a new class of dyonic dilaton black hole solutions in the background of anti–de Sitter (AdS) spacetime
The asymptotic behavior of the solution (r → ∞) is exactly AdS, where the dilaton field becomes zero and the metric function reduces to fðrÞ → −Λr2=3
Summary
The first attempt to consider a minimal coupling between the scalar fields and gravity was done by Fisher, who found a static and spherically symmetric solution of the Einsteinmassless scalar field equations [1]. In order to obtain an asymptotically (A)dS solution in the presence of dilaton field, the combination of three Liouville-type dilaton potentials was proposed [5,6,7]. In this case, the potential includes three exponential dilaton fields (Φ) and can be written as [8,9]. We would like to find asymptotically AdS dyonic black hole solutions in the presence of a dilaton field. Many papers are devoted to investigating dilaton dyonic black holes [16] Their asymptotic behavior is neither AdS nor dS.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
