1302.2697 (Soumya Jana et al.)

Three dimensional Eddington--inspired Born--Infeld gravity: solutions    [PDF]

Soumya Jana, Sayan Kar

Eddington-inspired Born--Infeld gravity in three spacetime dimensions is studied. We obtain analytical and numerical solutions for the scale factor in a three dimensional Friedman-Roberston-Walker line element with (i) pressureless dust and (ii) a perfect fluid with p=\rho/2, as matter sources. Further, we also find a family of static, circularly symmetric analytical line elements with isotropic pressures. For FRW cosmology, we note that if the new parameter \kappa which arises in the theory, is positive (\kappa>0), the solutions are singular (except for the open universe, with a specific condition), whereas if \kappa<0, they represent non-singular spacetimes. On the other hand, in the circularly symmetric static case, our solutions are non-singular for both \kappa>0 and \kappa<0.

View original: http://arxiv.org/abs/1302.2697