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Mimetic-$f(Q)$ gravity: cosmic reconstruction and energy conditions
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abstract
In this study, we present a novel approach to mimetic gravity incorporating a non-zero nonmetricity tensor with vanishing torsion and curvature, establishing a generalized mimetic-$f(Q)$ gravity framework. Using the Lagrange multiplier method, we have obtained and discussed characteristics of the theory's field equations. In order to study cosmic evolution given by the hybrid scale factor, we implemented the reconstruction method in two different ways. In the first case, we have obtained corresponding Lagrange multiplier $\eta$ and potential $U$ for the specific $f(Q)=f(Q)=Q-6\lambda M^2\big(\frac{Q}{6M^2}\big)^\alpha$ function, while in the second scenario we have recovered $f(Q)$ functional and mimetic potential for the given Lagrange multiplier $\eta_0+\gamma H^2$. Subsequently, we explore the fundamental properties of the $f(Q)=Q-6\lambda M^2\big(\frac{Q}{6M^2}\big)^\alpha$ model and analyse the energy conditions to establish its validity. Our findings indicate that the framework introduced herein allows for the derivation of a wide range of viable cosmological models that satisfy energy constraints that are necessary in description of the accelerated expansion.
Forward citations
Cited by 4 Pith papers
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Quantum cosmological perturbations in bouncing models with mimetic dark matter
Mimetic dark matter bouncing cosmologies can generate scale-invariant, slightly red-tilted primordial fluctuations matching CMB observations when the bounce scale lies between 10^5 and 10^9 Planck lengths.
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Constraints on Logarithmic Model Extensions of Symmetric Teleparallel Gravity
Two new logarithmic f(Q) gravity models fit current cosmological data and predict contrasting, testable deviations in the effective gravitational coupling and gravitational-wave damping.
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ACT-DR6 consistent inflation in generalised entropic cosmology and $f(Q)$ gravity
Reconstruction produces explicit f(Q) and generalised-entropic inflation models (and scalar-coupled versions) whose slow-roll parameters match ACT-DR6 + Planck-BAO constraints on n_s and r.
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Dynamical Dark Energy or Modified Gravity? Signatures in Gravitational Wave Propagation
Reconstructing the dark energy density from DESI BAO and DESyr5 supernovae, then recasting it as f(Q) gravity, predicts a low-redshift gravitational wave damping ν≈0.18 (≳2σ from GR) only for the DESyr5 dataset.
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