Abstract
Abstract
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–Lemaître–Robertson–Walker spacetime in Eddington-inspired-Born-Infeld theory.
Subject
Physics and Astronomy (miscellaneous)
Reference48 articles.
1. Die Grundlage der allgemeinen Relativitätstheorie;Einstein;Ann. Phys.,1916
2. Die Felgleichungen der Gravitation;Einstein;Kön Preuss. Akad. Wiss.,1975
3. Tests of General Relativity with GW150914;Abbott;Phys. Rev. Lett. D,2016
4. Foundations of the new field theory;Born;Proc. R. Soc. A,1934
5. Born-Infeld-Einstein actions?;Deser;Class. Quantum Grav.,1998
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献