Three dimensional Eddington-inspired Born-Infeld gravity: Solutions

Abstract

Three dimensional Eddington-inspired Born-Infeld gravity is studied with the goal of finding new solutions. Beginning with cosmology, we obtain analytical and numerical solutions for the scale factor a(t), in spatially flat (k = 0) and spatially curved (k = ±1) Friedmann-Roberston-Walker universes with (i) pressureless dust (P = 0) and (ii) perfect fluid (P = ρ 2 ), as matter sources. When the theory parameter κ > 0, our cosmological solutions are generically singular (except for the open universe, with a specific condition). On the other hand, for κ < 0 we do find non-singular cosmologies. We then move on towards finding static, circularly symmetric line elements with matter obeying (i) p = 0 and (ii) p = ρ 2 . For p = 0, the solution found is nonsingular for κ < 0 with the matterstress-energy representing inhomogeneous dust. For p = ρ 2 we obtain nonsingular solutions, for all κ and discuss some interesting characteristics of these solutions. Finally, we look at the rather simple p = −ρ case where the solutions are either de Sitter or anti-de Sitter or flat spacetime.

Loop quantum cosmology in2+1dimension

“…For instance, the (2 þ 1)-dimensional Euclidean gravity coupled with a massless scalar field can be related to the (3 þ 1)-dimensional static spacetime [17]. Moreover, the (2 þ 1)-dimensional cosmology is a rather active topic both from classical and quantum perspectives [18][19][20][21]. The purpose of this paper is to make a first step to investigate the issue of the (2 þ 1)-dimensional LQC.…”

Large scale structure formation in Eddington-inspired Born-Infeld gravity

“…More relevant studies can be found in Refs. [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]. It was shown in Refs.…”

Lorentzian wormholes in Eddington-inspired Born-Infeld gravity

“…This gives a hint of having a wormhole geometry supported by ordinary matter, in EiBI gravity. Attempts have been made to construct a wormhole geometry in this modified gravity [24,26,27]. The authors in [24] obtained a wormhole geometry supported by pressureless dust, in three dimensions.…”

“…Various aspects of EiBI gravity have been studied by many researchers in the recent past. Spherically symmetric solutions, cosmology, and astrophysical aspects have been worked out [15][16][17][18][19][20][21][22][23][24][25].…”