Built on

Tsutomu Kobayashi, “Horndeski theory and beyond: a review,” (2019), arXiv:1901.07183 [gr-qc]
Original
1901
Earlier work this paper cites.
Jérôme Gleyzes, David Langlois, Federico Piazza, and Filippo Vernizzi, “Exploring gravitational theories beyond Horndeski,” JCAP 1502
Original
1952
Earlier work this paper cites.
D. Lovelock, “The Four-Dimensionality of Space and the Einstein Tensor,” Journal of Mathematical Physics 13
1972
Earlier work this paper cites.
A. I. Vainshtein, “To the problem of nonvanishing gravitation mass,” Phys. Lett. 39B
1972
Earlier work this paper cites.
Gregory Walter Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,” Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
Nick Kaiser, “Clustering in real space and in redshift space,” Monthly Notices of the Royal Astronomical Society 227
1987
Earlier work this paper cites.
Frank Könnig and Luca Amendola, “Instability in a minimal bimetric gravity model,” Phys. Rev. D90
Original
1988
Earlier work this paper cites.
O. Lahav, P. B. Lilje, J. R. Primack, and M. J. Rees, “Dynamical effects of the cosmological constant,” MNRAS 251
1991
Earlier work this paper cites.
C. M. Will, Theory and experiment in gravitational physics (1993)
1993
Earlier work this paper cites.
Julio F. Navarro, Carlos S. Frenk, and Simon D. M. White, “The Structure of cold dark matter halos,” Astrophys. J. 462
1996
Earlier work this paper cites.
D. J. Eisenstein and W. Hu, “Baryonic Features in the Matter Transfer Function,” ApJ 496
1998
Earlier work this paper cites.
J. Liske, “On the cosmological distance and redshift between any two objects,” MNRAS 319
2000
Earlier work this paper cites.
Scott Dodelson, Modern Cosmology (Academic Press, Amsterdam, 2003)
2003
Earlier work this paper cites.
E. G. Adelberger, B. R. Heckel, and A. E. Nelson, “Tests of the Gravitational Inverse-Square Law,” Annual Review of Nuclear and Particle Science 53
2003
Earlier work this paper cites.
H.-J. Seo and D. J. Eisenstein, “Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys,” ApJ 598
2003
Earlier work this paper cites.
Steven Weinberg, “Damping of tensor modes in cosmology,” Phys. Rev. D69
2004
Earlier work this paper cites.
C. J. Copi, A. N. Davis, and L. M. Krauss, “New Nucleosynthesis Constraint on the Variation of G,” Physical Review Letters 92
2004
Earlier work this paper cites.
Joan Simon, Licia Verde, and Raul Jimenez, “Constraints on the redshift dependence of the dark energy potential,” Physics Review D 71
2004
Earlier work this paper cites.
Massimo Pietroni, “Dark energy condensation,” Phys. Rev. D72
2005
Earlier work this paper cites.
C. Rasmussen and C. Williams, Gaussian Processes for Machine Learning (MIT Press, 2006)
2006
Earlier work this paper cites.
T. Dent, S. Stern, and C. Wetterich, “Primordial nucleosynthesis as a probe of fundamental physics parameters,” Phys. Rev. D 76
Original
2007
Earlier work this paper cites.
Pengjie Zhang, Michele Liguori, Rachel Bean, and Scott Dodelson, “Probing Gravity at Cosmological Scales by Measurements which Test the Relationship between Gravitational Lensing and Matter Overdensity,” Physical Review Letters 99
2007
Earlier work this paper cites.
Keith A. Olive and Maxim Pospelov, “Environmental dependence of masses and coupling constants,” Phys. Rev. D77
Original
2008
Earlier work this paper cites.
M. Maggiore, Gravitational Waves: Volume 1: Theory and Experiments , Gravitational Waves (OUP Oxford, 2008)
2008
Earlier work this paper cites.
L. Guzzo, M. Pierleoni, B. Meneux, et al. , “A test of the nature of cosmic acceleration using galaxy redshift distortions,” Nature 451
2008
Earlier work this paper cites.
C. Deffayet, Gilles Esposito-Farese, and A. Vikman, “Covariant Galileon,” Phys. Rev. D79
Original
2009
Earlier work this paper cites.
F. Iocco, G. Mangano, G. Miele, O. Pisanti, and P. D. Serpico, “Primordial nucleosynthesis: From precision cosmology to fundamental physics,” Phys. Rep. 472
Original
2009
Earlier work this paper cites.
Martin Kunz, “Degeneracy between the dark components resulting from the fact that gravity only measures the total energy-momentum tensor,” Physical Review D 80
2009
Earlier work this paper cites.
Daniel Stern, Raul Jimenez, Licia Verde, et al. , “Cosmic Chronometers: Constraining the Equation of State of Dark Energy. II. A Spectroscopic Catalog of Red Galaxies in Galaxy Clusters,” (2009), 10.1088/0067-0049/188/1/280 , arXiv:0907.3152
Original
2009
Earlier work this paper cites.
Yong-Seon Song and Will J. Percival, “Reconstructing the history of structure formation using redshift distortions,” Journal of Cosmology and Astroparticle Physics (2008), 10.1088/1475-7516/2009/10/004 , arXiv:0807.0810
Original
2009
Earlier work this paper cites.
Anna Cabré and Enrique Gaztañaga, “Clustering of luminous red galaxies - I. Large-scale redshift-space distortions,” Monthly Notices of the Royal Astronomical Society 393
2009
Earlier work this paper cites.
LSST Science Collaboration, P. A. Abell, J. Allison, S. F. Anderson, J. R. Andrew, J. R. P. Angel, L. Armus, D. Arnett, S. J. Asztalos, T. S. Axelrod, and et al., “LSST Science Book, Version 2.0,” ArXiv e-prints (2009), arXiv:0912.0201 [astro-ph.IM]
Original
2009
Earlier work this paper cites.
Thomas P. Sotiriou and Valerio Faraoni, “f(R) Theories Of Gravity,” Rev. Mod. Phys. 82
Original
2010
Earlier work this paper cites.
L. Amendola and S. Tsujikawa, Dark Energy : Theory and Observations by Luca Amendola and Shinji Tsujikawa. Cambridge University Press, 2010. ISBN: 9780521516006 (2010)
2010
Earlier work this paper cites.
Kurt Hinterbichler and Justin Khoury, “Symmetron Fields: Screening Long-Range Forces Through Local Symmetry Restoration,” Phys. Rev. Lett. 104
Original
2010
Earlier work this paper cites.
R. Reyes, R. Mandelbaum, U. Seljak, T. Baldauf, J. E. Gunn, L. Lombriser, and R. E. Smith, “Confirmation of general relativity on large scales from weak lensing and galaxy velocities,” Nature 464
Original
2010
Earlier work this paper cites.
Antonio De Felice, Tsutomu Kobayashi, and Shinji Tsujikawa, “Effective gravitational couplings for cosmological perturbations in the most general scalar–tensor theories with second-order field equations,” Physics Letters B 706
2011
Earlier work this paper cites.
Antonio De Felice, Tsutomu Kobayashi, and Shinji Tsujikawa, “Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations,” Phys.Lett. B706
Original
2011
Earlier work this paper cites.
Kurt Hinterbichler, Justin Khoury, Aaron Levy, and Andrew Matas, “Symmetron Cosmology,” Phys. Rev. D84
Original
2011
Earlier work this paper cites.

Similar

Then

David Langlois and Karim Noui, “Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability,” JCAP 1602
Original
2016
Later among the works it cites.
Antonio De Felice, Lavinia Heisenberg, Ryotaro Kase, Shinji Mukohyama, Shinji Tsujikawa, and Ying-li Zhang, “Effective gravitational couplings for cosmological perturbations in generalized Proca theories,” Phys. Rev. D94
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2016
Later among the works it cites.
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Later among the works it cites.
Lucas Lombriser and Andy Taylor, “Breaking a Dark Degeneracy with Gravitational Waves,” JCAP 1603
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Richard H. Cyburt, Brian D. Fields, Keith A. Olive, and Tsung-Han Yeh, “Big Bang Nucleosynthesis: 2015,” Rev. Mod. Phys. 88

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2019

Measuring gravity at cosmological scales

Amendola, Luca, Bettoni, Dario, Pinho, Ana Marta et al.

Understand

This paper is a pedagogical introduction to models of gravity and how to constrain them through cosmological observations.

We focus on the Horndeski scalar-tensor theory and on the quantities that can be measured with a minimum of assumptions.
Alternatives or extensions of General Relativity have been proposed ever since its early years.
Because of Lovelock theorem, modifying gravity in four dimensions typically means adding new degrees of freedom.

Built on

Tsutomu Kobayashi, “Horndeski theory and beyond: a review,” (2019), arXiv:1901.07183 [gr-qc]
Original
1901
Earlier work this paper cites.
Jérôme Gleyzes, David Langlois, Federico Piazza, and Filippo Vernizzi, “Exploring gravitational theories beyond Horndeski,” JCAP 1502
Original
1952
Earlier work this paper cites.
D. Lovelock, “The Four-Dimensionality of Space and the Einstein Tensor,” Journal of Mathematical Physics 13
1972
Earlier work this paper cites.
A. I. Vainshtein, “To the problem of nonvanishing gravitation mass,” Phys. Lett. 39B
1972
Earlier work this paper cites.
Gregory Walter Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,” Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
Nick Kaiser, “Clustering in real space and in redshift space,” Monthly Notices of the Royal Astronomical Society 227
1987
Earlier work this paper cites.
Frank Könnig and Luca Amendola, “Instability in a minimal bimetric gravity model,” Phys. Rev. D90
Original
1988
Earlier work this paper cites.
O. Lahav, P. B. Lilje, J. R. Primack, and M. J. Rees, “Dynamical effects of the cosmological constant,” MNRAS 251
1991
Earlier work this paper cites.
C. M. Will, Theory and experiment in gravitational physics (1993)
1993
Earlier work this paper cites.
Julio F. Navarro, Carlos S. Frenk, and Simon D. M. White, “The Structure of cold dark matter halos,” Astrophys. J. 462
1996
Earlier work this paper cites.
D. J. Eisenstein and W. Hu, “Baryonic Features in the Matter Transfer Function,” ApJ 496
1998
Earlier work this paper cites.
J. Liske, “On the cosmological distance and redshift between any two objects,” MNRAS 319
2000
Earlier work this paper cites.
Scott Dodelson, Modern Cosmology (Academic Press, Amsterdam, 2003)
2003
Earlier work this paper cites.
E. G. Adelberger, B. R. Heckel, and A. E. Nelson, “Tests of the Gravitational Inverse-Square Law,” Annual Review of Nuclear and Particle Science 53
2003
Earlier work this paper cites.
H.-J. Seo and D. J. Eisenstein, “Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys,” ApJ 598
2003
Earlier work this paper cites.
Steven Weinberg, “Damping of tensor modes in cosmology,” Phys. Rev. D69
2004
Earlier work this paper cites.
C. J. Copi, A. N. Davis, and L. M. Krauss, “New Nucleosynthesis Constraint on the Variation of G,” Physical Review Letters 92
2004
Earlier work this paper cites.
Joan Simon, Licia Verde, and Raul Jimenez, “Constraints on the redshift dependence of the dark energy potential,” Physics Review D 71
2004
Earlier work this paper cites.
Massimo Pietroni, “Dark energy condensation,” Phys. Rev. D72
2005
Earlier work this paper cites.
C. Rasmussen and C. Williams, Gaussian Processes for Machine Learning (MIT Press, 2006)
2006
Earlier work this paper cites.
T. Dent, S. Stern, and C. Wetterich, “Primordial nucleosynthesis as a probe of fundamental physics parameters,” Phys. Rev. D 76
Original
2007
Earlier work this paper cites.
Pengjie Zhang, Michele Liguori, Rachel Bean, and Scott Dodelson, “Probing Gravity at Cosmological Scales by Measurements which Test the Relationship between Gravitational Lensing and Matter Overdensity,” Physical Review Letters 99
2007
Earlier work this paper cites.
Keith A. Olive and Maxim Pospelov, “Environmental dependence of masses and coupling constants,” Phys. Rev. D77
Original
2008
Earlier work this paper cites.
M. Maggiore, Gravitational Waves: Volume 1: Theory and Experiments , Gravitational Waves (OUP Oxford, 2008)
2008
Earlier work this paper cites.
L. Guzzo, M. Pierleoni, B. Meneux, et al. , “A test of the nature of cosmic acceleration using galaxy redshift distortions,” Nature 451
2008
Earlier work this paper cites.
C. Deffayet, Gilles Esposito-Farese, and A. Vikman, “Covariant Galileon,” Phys. Rev. D79
Original
2009
Earlier work this paper cites.
F. Iocco, G. Mangano, G. Miele, O. Pisanti, and P. D. Serpico, “Primordial nucleosynthesis: From precision cosmology to fundamental physics,” Phys. Rep. 472
Original
2009
Earlier work this paper cites.
Martin Kunz, “Degeneracy between the dark components resulting from the fact that gravity only measures the total energy-momentum tensor,” Physical Review D 80
2009
Earlier work this paper cites.
Daniel Stern, Raul Jimenez, Licia Verde, et al. , “Cosmic Chronometers: Constraining the Equation of State of Dark Energy. II. A Spectroscopic Catalog of Red Galaxies in Galaxy Clusters,” (2009), 10.1088/0067-0049/188/1/280 , arXiv:0907.3152
Original
2009
Earlier work this paper cites.
Yong-Seon Song and Will J. Percival, “Reconstructing the history of structure formation using redshift distortions,” Journal of Cosmology and Astroparticle Physics (2008), 10.1088/1475-7516/2009/10/004 , arXiv:0807.0810
Original
2009
Earlier work this paper cites.
Anna Cabré and Enrique Gaztañaga, “Clustering of luminous red galaxies - I. Large-scale redshift-space distortions,” Monthly Notices of the Royal Astronomical Society 393
2009
Earlier work this paper cites.
LSST Science Collaboration, P. A. Abell, J. Allison, S. F. Anderson, J. R. Andrew, J. R. P. Angel, L. Armus, D. Arnett, S. J. Asztalos, T. S. Axelrod, and et al., “LSST Science Book, Version 2.0,” ArXiv e-prints (2009), arXiv:0912.0201 [astro-ph.IM]
Original
2009
Earlier work this paper cites.
Thomas P. Sotiriou and Valerio Faraoni, “f(R) Theories Of Gravity,” Rev. Mod. Phys. 82
Original
2010
Earlier work this paper cites.
L. Amendola and S. Tsujikawa, Dark Energy : Theory and Observations by Luca Amendola and Shinji Tsujikawa. Cambridge University Press, 2010. ISBN: 9780521516006 (2010)
2010
Earlier work this paper cites.
Kurt Hinterbichler and Justin Khoury, “Symmetron Fields: Screening Long-Range Forces Through Local Symmetry Restoration,” Phys. Rev. Lett. 104
Original
2010
Earlier work this paper cites.
R. Reyes, R. Mandelbaum, U. Seljak, T. Baldauf, J. E. Gunn, L. Lombriser, and R. E. Smith, “Confirmation of general relativity on large scales from weak lensing and galaxy velocities,” Nature 464
Original
2010
Earlier work this paper cites.
Antonio De Felice, Tsutomu Kobayashi, and Shinji Tsujikawa, “Effective gravitational couplings for cosmological perturbations in the most general scalar–tensor theories with second-order field equations,” Physics Letters B 706
2011
Earlier work this paper cites.
Antonio De Felice, Tsutomu Kobayashi, and Shinji Tsujikawa, “Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations,” Phys.Lett. B706
Original
2011
Earlier work this paper cites.
Kurt Hinterbichler, Justin Khoury, Aaron Levy, and Andrew Matas, “Symmetron Cosmology,” Phys. Rev. D84
Original
2011
Earlier work this paper cites.

Similar

Then

David Langlois and Karim Noui, “Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability,” JCAP 1602
Original
2016
Later among the works it cites.
Antonio De Felice, Lavinia Heisenberg, Ryotaro Kase, Shinji Mukohyama, Shinji Tsujikawa, and Ying-li Zhang, “Effective gravitational couplings for cosmological perturbations in generalized Proca theories,” Phys. Rev. D94
Original
2016
Later among the works it cites.
C. Patrignani et al. (Particle Data Group), “Review of Particle Physics,” Chin. Phys. C40
2016
Later among the works it cites.
Lucas Lombriser and Andy Taylor, “Breaking a Dark Degeneracy with Gravitational Waves,” JCAP 1603
Original
2016
Later among the works it cites.
Richard H. Cyburt, Brian D. Fields, Keith A. Olive, and Tsung-Han Yeh, “Big Bang Nucleosynthesis: 2015,” Rev. Mod. Phys. 88

Beyond the bibliography

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

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Original

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