Cosmic Jerk, Snap and Beyond

Abstract

We clarify the procedure for expressing the Friedmann equation in terms of directly measurable cosmological scalars constructed out of higher derivatives of the scale factor. We carry out this procedure for pure dust, Chaplygin gas and generalised Chaplygin gas energy-momentum tensors. In each case it leads to a constraint on the scalars thus giving rise to a test of General Relativity. We also discuss a formulation of the Friedmann equation as unparametrised geodesic motion and its connection with the Lagrangian treatment of perfect fluids coupled to gravity.

10 pages. Minor revisions, added summary. Final version to appear in CQG

References in corpus (5)

• An alternative to quintessence
• Statefinder -- a new geometrical diagnostic of dark energy
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Jerk, snap, and the cosmological equation of state
• The Luminosity Distance, the Equation of State, and the Geometry of the Universe

Cited by in corpus (46)

• Holographic Dark Energy
• Comprehensive cosmographic analysis by Markov Chain Method
• The Statefinder hierarchy: An extended null diagnostic for concordance cosmology
• Screening $\Lambda$ in a new modified gravity model
• Friedmann's Equations in All Dimensions and Chebyshev's Theorem
• Reconstruction and constraining of the jerk parameter from OHD and SNe Ia observations
• A parametric reconstruction of the cosmological jerk from diverse observational data sets
• Cosmological aspects of the Eisenhart-Duval lift
• Structure formation in cosmologies with oscillating dark energy
• Statefinder hierarchy model for the Barrow holographic dark energy
• A new approach to the analysis of the phase space of f(R)-gravity
• Redshift drift in varying speed of light cosmology
• Cosmographic analysis of redshift drift
• Cosmological model with decaying vacuum energy law from principles of quantum mechanics
• Constraining the dark energy statefinder hierarchy in a kinematic approach
• Cosmology of a generalised version of holographic dark energy in presence of bulk viscosity and its inflationary dynamics through slow roll parameters
• A model independent approach to the study of $f(R)$ cosmologies with expansion histories close to $\Lambda$CDM
• Relativistic Kinematics and Stationary Motions
• Non-linear Realizations, Goldstone bosons of broken Lorentz rotations and effective actions for p-branes
• Geodesic motion in Bogoslovsky-Finsler Spacetimes
• Testing Lambda and the Limits of Cosmography with the Union2.1 Supernova Compilation
• Discriminating dark energy models by using the statefinder hierarchy and the growth rate of matter perturbations
• Gibbons-Hawking Boundary Terms and Junction Conditions for Higher-Order Brane Gravity Models
• Cosmological evolution with quadratic gravity and nonideal fluids
• Redshift Drift in $f(R,T)$ Gravity
• A statefinder luminosity distance formula in varying speed of light cosmology
• A note on the dynamical system formulations in $f(R)$ gravity
• A Dark Energy Model with Generalized Uncertainty Principle in the Emergent, Intermediate and Logamediate Scenarios of the Universe
• Constraints on Cosmographic Functions of Cosmic Chronometers Data Using Gaussian Processes
• On the uniqueness of $\Lambda$CDM-like evolution for homogeneous and isotropic cosmology in General Relativity
• QCD Equation of State and Cosmological Parameters in Early Universe
• A four-dimensional ΛCDM-type cosmological model induced from higher dimensions using a kinematical constraint
• Dark Energy and Projective Symmetry
• Deconfinement Transition Effects on Cosmological Parameters and Primordial Gravitational Wave Spectrum
• Do current observations support transient acceleration of our universe?
• Cosmic Acceleration in an Extended Brans-Dicke-Higgs Theory
• Lie Symmetries of Non-Relativistic and Relativistic Motions
• A comprehensive analysis of the compact phase space for Hu-Sawicki $f(R)$ dark energy models including spatial curvature
• A Comparison of the LVDP and ΛCDM Cosmological Models
• A model-independent compact dynamical system formulation for exploring bounce and cyclic cosmological evolutions in $f(R)$ gravity
• Observers with constant proper acceleration, constant proper jerk, and beyond
• Optical Metrics and Projective Equivalence
• Reconstruction of Tsallis Holographic Dark Energy via Modified Non-Metric Gravity: An $f(Q,C)$ Approach
• Observational Imprints of Our Lost Twin Anti-Universe
• Dynamical analysis of the redshift drift in FLRW universes
• On Generalized Theories of Varying Fine Structure Constant