Second-order dust perturbations of the non-flat FLRW model with the positive cosmological constant
arXiv:2207.08488 · doi:10.1088/1361-6382/acaa81
Abstract
In this paper, a specific solution to the second-order cosmological perturbation theory is given. Perturbations are performed around any FLRW spacetime filled with dust and with a positive cosmological constant. In particular, with a possibly non-vanishing spatial curvature. The adopted symmetry condition allows us to simplify the equations, leaving us with a great deal of freedom to choose the density distribution. In the result, we get a relatively simple metric of an inhomogeneous cosmological model, which will give a perfect tool for studying the influence of the local inhomogeneities onto the cosmological observables.
References in corpus (41)
- In the Realm of the Hubble tension a Review of Solutions
- Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
- Cosmological perturbations
- On average properties of inhomogeneous fluids in general relativity I: dust cosmologies
- A new framework for analyzing the effects of small scale inhomogeneities in cosmology
- Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?
- gevolution: a cosmological N-body code based on General Relativity
- Light-cone averaging in cosmology: formalism and applications
- "Swiss-Cheese" Inhomogeneous Cosmology & the Dark Energy Problem
- Scale dependence of cosmological backreaction
- Interpretation of the Hubble diagram in a nonhomogeneous universe
- Average expansion rate and light propagation in a cosmological Tardis spacetime
- Inhomogeneous Cosmology with Numerical Relativity
- N-body methods for relativistic cosmology
- Solving the curvature and Hubble parameter inconsistencies through structure formation-induced curvature
- Differential cosmic expansion and the Hubble flow anisotropy
- Virialisation-induced curvature as a physical explanation for dark energy
- On Backreaction in Newtonian cosmology
- Post-Newtonian Cosmological Modelling
- A Simple, Heuristic Derivation of our "No Backreaction" Results
- Second-order perturbations of a zero-pressure cosmological medium: comoving vs. synchronous gauge
- Cosmology on all scales: a two-parameter perturbation expansion
- Cosmological backreaction and its dependence on spacetime foliation
- Ray tracing and Hubble diagrams in post-Newtonian cosmology
- Constraining the local variance of from directional analyses
- Second-order Cosmological Perturbations Engendered by Point-like Masses
- Example of an inhomogeneous cosmological model in the context of backreaction
- Exact non-linear equations for cosmological perturbations
- Second-order cosmological perturbations. I. Produced by scalar-scalar coupling in synchronous gauge
- CMB seen through random Swiss Cheese
- Perturbation theory for cosmologies with non-linear structure
- Practical tools for third order cosmological perturbations
- Fully nonlinear and exact perturbations of the Friedmann world model: Non-flat background
- Understanding the Dyer-Roeder approximation as a consequence of local cancellations of projected shear and expansion rate fluctuations
- A comparison theorem for cosmological lightcones
- Pancakes as opposed to Swiss Cheese
- Screening vs. gevolution: in chase of a perfect cosmological simulation code
- Perturbatively constructed cosmological model with periodically distributed dust inhomogeneities
- Construction of the cosmological model with periodically distributed inhomogeneities with growing amplitude
- Multi-Scale Perturbation Theory II: Solutions and Leading-Order Bispectrum in the CDM Universe
- Canonical gauge-invariant variables for scalar perturbations in synchronous coordinates