We consider a Bianchi type Ⅰ physical metric g,an auxiliary metric q and a density matter ρ in Eddington-inspired-Born-Infeld theory.We first derive a system of second order nonlinear ordinary differential equations.Then,by a suitable change of variables,we arrive at a system of first order nonlinear ordinary differential equations.Using both the solution-tube concept for the first order nonlinear ordinary differential equations and the nonlinear analysis tools such as the Arzelá-Ascoli theorem,we prove an existence result for the nonlinear system obtained.The resolution of this last system allows us to obtain new exact solutions for the model considered.Finally,by studying the asymptotic behaviour of the exact solutions obtained,we conclude that this solution is the counterpart of the Friedman-Lema?tre-Robertson-Walker spacetime in Eddington-inspired-Born-Infeld theory.

Calvin Tadmon;Guichard Djiodjo-Seugmo

Department of Mathematics and Computer Science,Faculty of Science,University of Dschang,PO Box 67,Dschang,Cameroon;The Abdus Salam International Centre for Theoretical Physics,Strada Costiera 11,I-34151 Trieste,Italy

理论物理

[1]Calvin Tadmon;Guichard Djiodjo-Seugmo-.New exact solutions to the Eddington-inspired-Born-Infeld equations for a relativistic perfect fluid in a Bianchi type I spacetime)[J].理论物理,2022(06):122-134

Arzel,Lema

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