2016/05/31 by S. H. Hendi, M. S. Talezadeh · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Born–Infeld model #Brans–Dicke theory #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #Dilaton #Geometry #Lagrangian #Mathematical physics #Minimal coupling #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Spacetime #Theoretical physics #gr-qc
paper · pdf · doi:10.1007/s10714-016-2176-5
published in General Relativity and Gravitation 49(1) (Springer Science+Business Media) · 11 pages without figure, typos are fixed. Accepted in Gen. Relativ. Gravit
openalex publication_date 2016/12/21 · arxiv created 2016/12/22 · arxiv updated 2016/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Regarding the wide applications of dilaton gravity in the presence of electrodynamics, we introduce a suitable Lagrangian for the coupling of dilaton with gauge field. There are various Lagrangians which show the coupling between scalar fields and electrodynamics with correct special situations. In this paper, taking into account conformal transformation of Brans-Dicke theory with an electrodynamics Lagrangian, we show that how scalar field should couple with electrodynamics in dilaton gravity. In other words, in order to introduce a correct Lagrangian of dilaton gravity, one should check at least two requirements: compatibility with Brans-Dicke theory and appropriate special situations. Finally, we apply the mentioned method to obtain analytical solutions of dilaton-Born-Infeld and Brans-Dicke-Born-Infeld theories with energy dependent spacetime.