A shear-free lattice method bridges stochastic inflation and δN formalism by enabling fully nonlinear calculations of curvature perturbations in single-field models with ultra-slow-roll phases.
Buchert,On average properties of inhomogeneous fluids in general relativity
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abstract
For general relativistic spacetimes filled with irrotational `dust' a generalized form of Friedmann's equations for an `effective' expansion factor $a_D (t)$ of inhomogeneous cosmologies is derived. Contrary to the standard Friedmann equations, which hold for homogeneous-isotropic cosmologies, the new equations include the `backreaction effect' of inhomogeneities on the average expansion of the model. A universal relation between `backreaction' and average scalar curvature is also given. For cosmologies whose averaged spatial scalar curvature is proportional to $a_D^{-2}$, the expansion law governing a generic domain can be found. However, as the general equations show, `backreaction' acts as to produce average curvature in the course of structure formation, even when starting with space sections that are spatially flat on average.
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First direct constraints on total cosmic backreaction over a significant redshift range are consistent with vanishing backreaction within 1 sigma but are too weak to exclude meaningful backreaction.
A sparse population of primordial charged compact objects is hypothesized with specific parameters and shown to face severe plasma-screening and neutralization constraints while failing to produce late-time acceleration in the homogeneous FLRW approximation.
Constraints on primordial charged naked singularities (astrons) show charge saturation and plasma screening limit their viability, with homogeneous energy density scaling as a^{-4} providing no late-time acceleration.
A review summarizing the Hubble constant tension and proposed solutions from new physics that restore agreement between Planck CMB data and local H0 measurements within 1-2 sigma.
citing papers explorer
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Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta{N}$ formalism
A shear-free lattice method bridges stochastic inflation and δN formalism by enabling fully nonlinear calculations of curvature perturbations in single-field models with ultra-slow-roll phases.
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First observational constraints on cosmic backreaction over an extended redshift range
First direct constraints on total cosmic backreaction over a significant redshift range are consistent with vanishing backreaction within 1 sigma but are too weak to exclude meaningful backreaction.
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The Case for Astrons
A sparse population of primordial charged compact objects is hypothesized with specific parameters and shown to face severe plasma-screening and neutralization constraints while failing to produce late-time acceleration in the homogeneous FLRW approximation.
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Astrons: Reissner-Nordstr\"om Primordial Naked Singularities
Constraints on primordial charged naked singularities (astrons) show charge saturation and plasma screening limit their viability, with homogeneous energy density scaling as a^{-4} providing no late-time acceleration.
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In the Realm of the Hubble tension $-$ a Review of Solutions
A review summarizing the Hubble constant tension and proposed solutions from new physics that restore agreement between Planck CMB data and local H0 measurements within 1-2 sigma.