Unusual Matter Models in Cosmology

Board, Charles V. R.

doi:10.17863/cam.68813

Cited by 1 publication

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“…yield constant inertial mass density arise from barotropic perfect fluid via the energy-momentum squared gravity (EMSG) of the form f (T µν T µν ) ∝ ln(λ T µν T µν ), known as energy-momentum log gravity (EMLG), see Ref. [12] (see also [13]). There is a rapidly growing literature considering EMSG, see [14][15][16][17][18][19][20][21] for some cosmological applications and [22][23][24][25][26] for some other applications.…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis of logarithmic energy-momentum squared gravity

Acquaviva¹,

Katırcı²

2022

Preprint

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We perform the dynamical system analysis of a cosmological model in the energy-momentum squared gravity (EMSG) of the form f (Tµν T µν ) = α ln(λTµν T µν ), which is known as energymomentum log gravity (EMLG). In particular, we show that the analytical cosmological solution of EMLG presented by Akarsu et al. (Eur. Phys. J. C 79:846, 2019) is a future attractor. It includes new terms in the right-hand side of the Einstein field equations, which yield constant inertial mass density and provide a dynamical dark energy with a density passing below zero at large redshifts, accommodating a mechanism for screening Λ in the past, suggested for alleviating some cosmological tensions. We show that the model gives rise to an entire class of new stable late-time solutions with H → (Λ + 2α)/3 as a → ∞, where the new term is due to the constant effective inertial mass density that arises from EMLG contribution of dust, whereas H → Λ/3 as a → ∞ in the ΛCDM model. We also show existence of new interesting features and trajectories that are absent in the ΛCDM model.

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