Abstract
We consider spherically symmetric metric tensor g, auxiliary tensor q and scalar field $$\psi $$ in Eddington-inspired-Born-Infeld theory. We first recall the system of nonlinear partial differential equations derived in a previous work by Tadmon (Gen Relativ Gravit 51:15. https://doi.org/10.1007/s10714-018-2495-9 , 2019). Then assuming that the space time metric g, the auxiliary metric q and the scalar field depend only on the time coordinate, we deduce a system of nonlinear ordinary differential equations that we solve under specific assumptions to derive, by using elliptic integrals, new conformal Bianchi type I cosmological solutions together with a scalar field.
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