Cosmography: Cosmology without the Einstein equations

@article{Visser2005CosmographyCW,
  title={Cosmography: Cosmology without the Einstein equations},
  author={Matt Visser},
  journal={General Relativity and Gravitation},
  year={2005},
  volume={37},
  pages={1541-1548}
}
  • M. Visser
  • Published 27 November 2004
  • Physics
  • General Relativity and Gravitation
How much of modern cosmology is really cosmography? How much of modern cosmology is independent of the Einstein equations? (Independent of the Friedmann equations?) These questions are becoming increasingly germane—as the models cosmologists use for the stress-energy content of the universe become increasingly baroque, it behaves us to step back a little and carefully disentangle cosmological kinematics from cosmological dynamics. The use of basic symmetry principles (such as the cosmological… 
On the theory and applications of modern cosmography
TLDR
The main purpose of this review is to focus on the key features of cosmography, emphasising both the strategy for obtaining the observable cosmographic series and pointing out any drawbacks which might plague the standardcosmographic treatment.
A newtonian-vortex cosmology model from solar system to galaxy to large scale structures: Navier-stokes-inspired cosmography
Some years ago, Matt Visser asked the following interesting questions: How much of modern cosmology is really cosmography? How much of modern cosmology is independent of the Einstein equations?
APPLIED COSMOGRAPHY: A Pedagogical Review
Based on the cosmological principle only, the method of describing the evolution of the Universe, called cosmography, is in fact a kinematics of cosmological expansion. The effectiveness of
Applied Mathematics of Space-time & Space+time: Problems in General Relativity and Cosmology
Cosmography is the part of cosmology that proceeds by making minimal dynamic assumptions. That is, one does not assume the Friedmann equations (Einstein equations) unless and until absolutely
Conformally Friedmann–Lemaître–Robertson–Walker cosmologies
In a Universe where, according to the standard cosmological models, some 97% of the total mass-energy is still 'missing in action', it behooves us to spend at least a little effort critically
New generalizations of cosmography inspired by the Padé approximant
TLDR
One is to directly parameterize the luminosity distance based on the Padé approximant, while the other is to generalize cosmography with respect to a so-called $$y_\beta $$yβ-shift $$y-β =z/(1+\beta z)$$yβ=z/( 1+βz), which is also inspired by thePadé approxIMant.
3-Form Cosmology: Phantom Behaviour, Singularities and Interactions
The latest cosmological observations by the Planck collaboration (and combined with others) are compatible with a phantom-like behaviour ( w < − 1 ) for the dark energy equation of state that drives
A new paradigm for the dynamics of the early Universe
This paper invokes a new mechanism for reducing a coupled system of fields (including Einstein's equations without a cosmological constant) to equations that possess solutions exhibiting
Cosmographic Hubble fits to the supernova data
The Hubble relation between distance and redshift is a purely cosmographic relation that depends only on the symmetries of a Friedmann-Lemaitre-Robertson-Walker spacetime, but does not intrinsically
Quantum Phenomena in the Realm of Cosmology and Astrophysics
The success of modern physical theories is abundantly demonstrated by an impressive amount of examples, may it be in the small dimensions of the quantum world or on cosmologically large scales.
...
1
2
3
4
5
...

References

SHOWING 1-7 OF 7 REFERENCES
Jerk, snap, and the cosmological equation of state
Taylor expanding the cosmological equation of state around the current epoch is the simplest model one can consider that does not make any a priori restrictions on the nature of the cosmological
Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity
A leading physicist delves into relativity and experimental applications Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity offers a Nobel laureate's
The Luminosity Distance, the Equation of State, and the Geometry of the Universe
The second derivative of the luminosity distance with respect to the redshift is written in terms of the deceleration parameter $q_0$. We point out that the third derivative contains the information
Precision Cosmology? Not Just Yet . . .
The recent announcement from the Wilkinson Microwave Anisotropy Probe (WMAP) satellite experiment combined with other recent advances in observational cosmology verifies key components of the
Expansion, geometry, and gravity
In general-relativistic cosmological models, the expansion history, matter content, and geometry are closely intertwined. In this brief paper, we clarify the distinction between the effects of
Type Ia supernova discoveries at z > 1 from the Hubble Space Telescope: Evidence for past deceleration and constraints on dark energy evolution
We have discovered 16 Type Ia supernovae (SNe Ia) with the Hubble Space Telescope (HST) and have used them to provide the first conclusive evidence for cosmic deceleration that preceded the current