Global dynamics for a collisionless charged plasma in Bianchi spacetimes in Eddington-inspired-Born–Infeld gravity. (4th May 2023)

• Record Type: Journal Article
• Authors: Djiodjo Seugmo, Guichard; Tadmon, Calvin
• Is Part Of: Classical and quantum gravity. Volume 40:Number 9(2023)
• Publication Date: 2023-05-04
• Subjects: relativistic Kinetic theory -- Eddington-inspired-Born–Infeld theory -- Bianchi type I–IX spacetimes -- Vlasov equation -- partial differential equations -- characteristics method; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/acc62f
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: We consider a Bianchi type I–IX physical metric g, an auxiliary metric q with a collisionless charged relativistic plasma in Eddington-inspired-Born–Infeld theory. We first derive a governing system of second order nonlinear partial differential equations. Then, by the characteristics method applied to the Vlasov equation whose solution is the distribution function f, we manage to construct an iterated sequence. This leads to the existence and uniqueness of a local solution on an interval [ 0, T ), with T < ∞ . Then under certain assumptions of smallness on the mean curvatures in both directions, the Eddington parameter k and the dimensionless parameter λ, we show that this solution is global in time.