Mathematical analysis of some couplings for the Eddington-inspired-Born-Infeld theory of bi-gravity in Bondi coordinates. (27th October 2021)

• Record Type: Journal Article
• Authors: Tadmon, Calvin; Djiodjo-Seugmo, Guichard
• Is Part Of: Classical and quantum gravity. Volume 38:Number 22(2021)
• Publication Date: 2021-10-27
• Subjects: Eddington-inspired-Born-Infeld theory -- Bondi coordinates -- scalar field -- electromagnetic field -- solution-tube -- partial differential equations -- ordinary differential equations; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/ac2b0c
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: In the Eddington-inspired-Born-Infeld theory, we consider a metric tensor g, an auxiliary tensor q, a scalar field and an electromagnetic field in Bondi coordinates. Using 'the null tetrad' associated with each metric, we derive a system of nonlinear partial differential equations and, after some reduction process, we obtain a second order ordinary differential equation coupled to a first order partial differential equations with strong nonlinearities. Using both the solution-tube concept and the nonlinear analysis tools such as the fixed point theorem, we prove an existence and uniqueness result for the nonlinear system obtained.