Cosmological models in scale-independent energy-momentum squared gravity

Abstract

Scale-independent EMSG is a particular model of energy-momentum squared gravity (EMSG) in which the new terms in the Einstein field equations arising from the EMSG theory enter with the same power as the usual terms from Einstein-Hilbert part of the action. However, the model violates the local energy-momentum conservation and matter-current conservation in general and hence, permits a process of matter creation/annihilation in an expanding universe. Consequently, the scale factor dependencies of the energy densities are modified by the dimensionless model parameter $\alpha$. We revisit some nostalgias such as static universes and de Sitter/steady state universes. We reproduce the original ones, moreover, present some novelties, e.g., a spatially flat static universe, de Sitter expansion by negative vacuum energy, steady state universes in the presence of arbitrary fluids with constant equation of state (EoS) parameter other than dust, etc. We also investigate the possible dynamics of dust dominated and radiation dominated universes. Depending on the value of $\alpha$, dust/radiation dominated universe exhibits power-law accelerated/decelerated expansion, corresponds to a steady state model or may end in a big rip. In the framework of anisotropic cosmology, we reproduce Barrow's quiescent universe in the presence of stiff fluid and extend it to fluids with arbitrary constant EoS parameter. We also relax the condition for isotropic initial singularity (big bang) owing to that EMSG effectively allows ultra-stiff EoS parameters.

11 pages, 1 figure and no tables; matches the version published in Physics of the Dark Universe

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• f(R,T) gravity
• f(R,L_m) gravity
• Energy-Momentum Squared Gravity
• Generalized Energy-Momentum-Squared Gravity in the Palatini Formalism
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• Emergent Universe from Energy-Momentum Squared Gravity
• Constraining Energy-Momentum-Squared Gravity by binary pulsar observations
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• Dynamical analysis of logarithmic energy-momentum squared gravity
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Cited by in corpus (10)

• Quasi-static evolution of axially and reflection symmetric large-scale configuration
• Evolution of Spherical Overdensities in Energy-Momentum-Squared Gravity
• Weak field and slow motion limits in energy-momentum powered gravity
• Emergent Universe in f(Q) gravity theories
• Relativistic binary systems in scale-independent energy-momentum squared gravity
• Big Bang Nucleosynthesis constraints on the Energy-Momentum Squared Gravity: The ${\mathbb{T}}^2$ model
• Gödel-type universes in energy-momentum-squared gravity
• Cosmological perturbations in the energy-momentum squared gravity theory: constraints from gravitational wave standard sirens and redshift space distortions
• Probing single-field inflation: predictions, constraints, and theoretical viewpoints
• Revisiting the Matter Creation Process: Observational Constraints on Gravitationally Induced Dark Energy and the Hubble Tension