Built on

S. Capozziello, R. D’Agostino and O. Luongo, “Extended Gravity Cosmography”, Int. J. Mod. Phys. D 28
Original
1904
Earlier work this paper cites.
C. S. Alves, A. C. O. Leite, C. J. A. P. Martins, J. G. B. Matos and T. A. Silva, “Forecasts of redshift drift constraints on cosmological parameters”, Mon. Not. Roy. Astron. Soc. 488
Original
1907
Earlier work this paper cites.
K. Bolejko, C. Wang and G. F. Lewis, “Direct detection of the cosmic expansion: the redshift drift and the flux drift”, arXiv: 1907.04495 [astro-ph.CO]
Original
1907
Earlier work this paper cites.
S. M. Koksbang, “Another look at redshift drift and the backreaction conjecture”, JCAP 1910
Original
1909
Earlier work this paper cites.
M. Benetti and S. Capozziello, “Connecting early and late epochs by f ⁡ ( z ) f(z) -CDM cosmography”, JCAP 1912
Original
1910
Earlier work this paper cites.
J. P. Uzan, F. Bernardeau and Y. Mellier, “Time drift of cosmological redshifts and its variance”, Phys. Rev. D 77
Original
1950
Earlier work this paper cites.
F. J. Dyson, “Divergence of perturbation theory in quantum electrodynamics”, Phys. Rev. 85
1952
Earlier work this paper cites.
A. Sandage, “The change of redshift and apparent luminosity of galaxies due to the deceleration of selected expanding universes”, Astrophysical Journal 136
1962
Earlier work this paper cites.
G.C. McVittie, “Appendix to the change of redshift and apparent luminosity of galaxies due to the deceleration of selected expanding universes”, Astrophysical Journal 136
1962
Earlier work this paper cites.
S. Weinberg, Gravitation and cosmology: Principles and applications of the general theory of relativity
1972
Earlier work this paper cites.
A. Loeb, “Direct measurement of cosmological parameters from the cosmic deceleration of extragalactic objects”, Astrophys. J. 499
1998
Earlier work this paper cites.
Geoffrey H. Hardy, Divergent Series , (AMS Chelsea Publishing, Providence, 1991)
Original
2001
Earlier work this paper cites.
M. Visser, “Jerk, snap, and the cosmological equation of state”, Class. Quant. Grav. 21
2004
Earlier work this paper cites.
R. D. Blandford, M. A. Amin, E. A. Baltz, K. Mandel and P. J. Marshall, “Cosmokinetics”, ASP Conf. Ser. 339
2005
Earlier work this paper cites.

Similar

M. Visser, “Cosmography: Cosmology without the Einstein equations”, Gen. Rel. Grav. 37
2005
Cited alongside, same era.
A. Aviles, C. Gruber, O. Luongo and H. Quevedo, “Cosmography and constraints on the equation of state of the Universe in various parametrizations”, Phys. Rev. D 86
Original
2007
Cited alongside, same era.
C. Cattöen and M. Visser, “The Hubble series: Convergence properties and redshift variables”, Class. Quant. Grav. 24
Original
2007
Cited alongside, same era.
E. V. Linder, “Mapping the Cosmological Expansion”, Rept. Prog. Phys. 71
Original
2008
Cited alongside, same era.
J. P. Uzan, C. Clarkson and G. F. R. Ellis, “Time drift of cosmological redshifts as a test of the Copernican principle”, Phys. Rev. Lett. 100
Original

Then

J. Q. Xia, V. Vitagliano, S. Liberati and M. Viel, “Cosmography beyond standard candles and rulers”, Phys. Rev. D 85
Original
2012
Later among the works it cites.
A. R. Neben and M. S. Turner, “Beyond H 0 H_{0} and q 0 q_{0} : Cosmology is no longer just two numbers”, Astrophys. J. 769
Original
2013
Later among the works it cites.
S. Capozziello, M. De Laurentis, O. Luongo and A. Ruggeri, “Cosmographic constraints and cosmic fluids?”, Galaxies 1
Original
2013
Later among the works it cites.
A. G. Kim, E. V. Linder, J. Edelstein and D. Erskine, “Giving Cosmic Redshift Drift a Whirl”, Astropart. Phys. 62
Original
2014
Later among the works it cites.
C. Gruber and O. Luongo, “Cosmographic analysis of the equation of state of the universe through Padé approximations”, Phys. Rev. D 89

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2020

Cosmographic analysis of redshift drift

Lobo, Francisco S. N., Mimoso, Jose Pedro, Visser, Matt

Understand

Redshift drift is the phenomenon whereby the observed redshift between an emitter and observer comoving with the Hubble flow in an expanding FLRW universe will slowly evolve -- on a timescale comparable to the Hubble time.

There are nevertheless serious astrometric proposals for actually observing this effect.
We shall however pursue a more abstract theoretical goal, and perform a general cosmographic analysis of this effect, eschewing (for now) dynamical considerations in favour of purely kinematic symmetry considerations and Taylor series expansions based on FLRW spacetimes.
We shall develop various exact results and series expansions for the redshift drift (and its derivative) in terms of the present day Hubble, deceleration, jerk, snap, crackle, and pop parameters, as well as the present day redshift of the source.

Built on

S. Capozziello, R. D’Agostino and O. Luongo, “Extended Gravity Cosmography”, Int. J. Mod. Phys. D 28
Original
1904
Earlier work this paper cites.
C. S. Alves, A. C. O. Leite, C. J. A. P. Martins, J. G. B. Matos and T. A. Silva, “Forecasts of redshift drift constraints on cosmological parameters”, Mon. Not. Roy. Astron. Soc. 488
Original
1907
Earlier work this paper cites.
K. Bolejko, C. Wang and G. F. Lewis, “Direct detection of the cosmic expansion: the redshift drift and the flux drift”, arXiv: 1907.04495 [astro-ph.CO]
Original
1907
Earlier work this paper cites.
S. M. Koksbang, “Another look at redshift drift and the backreaction conjecture”, JCAP 1910
Original
1909
Earlier work this paper cites.
M. Benetti and S. Capozziello, “Connecting early and late epochs by f ⁡ ( z ) f(z) -CDM cosmography”, JCAP 1912
Original
1910
Earlier work this paper cites.
J. P. Uzan, F. Bernardeau and Y. Mellier, “Time drift of cosmological redshifts and its variance”, Phys. Rev. D 77
Original
1950
Earlier work this paper cites.
F. J. Dyson, “Divergence of perturbation theory in quantum electrodynamics”, Phys. Rev. 85
1952
Earlier work this paper cites.
A. Sandage, “The change of redshift and apparent luminosity of galaxies due to the deceleration of selected expanding universes”, Astrophysical Journal 136
1962
Earlier work this paper cites.
G.C. McVittie, “Appendix to the change of redshift and apparent luminosity of galaxies due to the deceleration of selected expanding universes”, Astrophysical Journal 136
1962
Earlier work this paper cites.
S. Weinberg, Gravitation and cosmology: Principles and applications of the general theory of relativity
1972
Earlier work this paper cites.
A. Loeb, “Direct measurement of cosmological parameters from the cosmic deceleration of extragalactic objects”, Astrophys. J. 499
1998
Earlier work this paper cites.
Geoffrey H. Hardy, Divergent Series , (AMS Chelsea Publishing, Providence, 1991)
Original
2001
Earlier work this paper cites.
M. Visser, “Jerk, snap, and the cosmological equation of state”, Class. Quant. Grav. 21
2004
Earlier work this paper cites.
R. D. Blandford, M. A. Amin, E. A. Baltz, K. Mandel and P. J. Marshall, “Cosmokinetics”, ASP Conf. Ser. 339
2005
Earlier work this paper cites.

Similar

M. Visser, “Cosmography: Cosmology without the Einstein equations”, Gen. Rel. Grav. 37
2005
Cited alongside, same era.
A. Aviles, C. Gruber, O. Luongo and H. Quevedo, “Cosmography and constraints on the equation of state of the Universe in various parametrizations”, Phys. Rev. D 86
Original
2007
Cited alongside, same era.
C. Cattöen and M. Visser, “The Hubble series: Convergence properties and redshift variables”, Class. Quant. Grav. 24
Original
2007
Cited alongside, same era.
E. V. Linder, “Mapping the Cosmological Expansion”, Rept. Prog. Phys. 71
Original
2008
Cited alongside, same era.
J. P. Uzan, C. Clarkson and G. F. R. Ellis, “Time drift of cosmological redshifts as a test of the Copernican principle”, Phys. Rev. Lett. 100
Original

Then

J. Q. Xia, V. Vitagliano, S. Liberati and M. Viel, “Cosmography beyond standard candles and rulers”, Phys. Rev. D 85
Original
2012
Later among the works it cites.
A. R. Neben and M. S. Turner, “Beyond H 0 H_{0} and q 0 q_{0} : Cosmology is no longer just two numbers”, Astrophys. J. 769
Original
2013
Later among the works it cites.
S. Capozziello, M. De Laurentis, O. Luongo and A. Ruggeri, “Cosmographic constraints and cosmic fluids?”, Galaxies 1
Original
2013
Later among the works it cites.
A. G. Kim, E. V. Linder, J. Edelstein and D. Erskine, “Giving Cosmic Redshift Drift a Whirl”, Astropart. Phys. 62
Original
2014
Later among the works it cites.
C. Gruber and O. Luongo, “Cosmographic analysis of the equation of state of the universe through Padé approximations”, Phys. Rev. D 89

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2008

Cited alongside, same era.

J. Liske et al

Original

2008

Cited alongside, same era.

T. Steinmetz et al

Original

2008

Cited alongside, same era.

M. Dunajski and G. Gibbons, “Cosmic Jerk, Snap and Beyond”, Class. Quant. Grav. 25

Original

2008

Cited alongside, same era.

C. Cattöen and M. Visser, “Cosmographic Hubble fits to the supernova data”, Phys. Rev. D 78

Original

2008

Cited alongside, same era.

S. Capozziello and L. Izzo, “Cosmography by GRBs”, Astron. Astrophys. 490

Original

2008

Cited alongside, same era.

M. Killedar and G. F. Lewis, “Lyman alpha absorbers in motion: consequences of gravitational lensing for the cosmological redshift drift experiment”, Mon. Not. Roy. Astron. Soc. 402

Original

2009

Cited alongside, same era.

V. Vitagliano, J. Q. Xia, S. Liberati and M. Viel, “High-Redshift Cosmography”, JCAP 1003

Original

2010

Cited alongside, same era.

Original

2014