Impact of particle creation in Lyra’s geometry

Lyra cosmologies with the dynamical system perspective

“…Above equations ( 20)- (23) asserts that in the Lyra model, the validity or violation of energy conditions may be affected by the displacement vector field with the nature of H and  H . The energy density (ρ = ρ r + ρ m + ρ Λ ) and pressure (p = p r + p m + p Λ with p m = 0) of fluid in the present model may be identified with the geometrical quantities such as the Hubble parameter and its derivatives along with the displacement vector field β.…”

“…Soleng [16] have exhibited the role of constant displacement vector field, which will either behave as a special kind of vacuum field or will correspond to a creation field of the Hoyle's creation field cosmology [17]. Different cosmological issues of the expanding universe have been studied in the Lyra cosmological framework [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. These Lyra models offer explanations for the late-time accelerating universe.…”

Rastall Gravity and the Impact of Particle Creation

“…Hamil et al [59] discussed the mechanism of particle creation in the absence of a time-like singularity in the emergent universe scenario. Various modified theories of gravity such as cubic gravity [60], f (T) gravity [61], f (R) gravity, [62] f (R, T) gravity [63], f (G) gravity [64], f (G, T) gravity [65], and the alternative theories such as Brans-Dicke theory [66] and Lyra's geometry [67] are used to investigate different aspect of the particle creation mechanism. Lyth et al [68] discussed the cosmological consequences of particle creation during the inflationary era of the universe.…”