2013

Essential Building Blocks of Dark Energy

Gleyzes, Jerome, Langlois, David, Piazza, Federico et al.

Understand

We propose a minimal description of single field dark energy/modified gravity within the effective field theory formalism for cosmological perturbations, which encompasses most existing models.

We start from a generic Lagrangian given as an arbitrary function of the lapse and of the extrinsic and intrinsic curvature tensors of the time hypersurfaces in unitary gauge, i.e.
choosing as time slicing the uniform scalar field hypersurfaces.
Focusing on linear perturbations, we identify seven Lagrangian operators that lead to equations of motion containing at most two (space or time) derivatives, the background evolution being determined by the time dependent coefficients of only three of these operators.

Built on

C. Deffayet, S. Deser and G. Esposito-Farese, “Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress-tensors,” Phys. Rev. D
Original
1967
Earlier work this paper cites.
E. Poisson, ÒA RelativistÕs Toolkit: The Mathematics of Black-Hole Mechanics,Ó
1973
Earlier work this paper cites.
G. W. Horndeski, Int. J. Theor. Phys
1974
Earlier work this paper cites.
R. M. Wald, “General Relativity,” Chicago, Usa: Univ. Pr. ( 1984) 491p
1984
Earlier work this paper cites.
J. Z. Simon, “Higher Derivative Lagrangians, Nonlocality, Problems And Solutions,” Phys. Rev. D
1990
Earlier work this paper cites.
C. Charmousis, E. J. Copeland, A. Padilla and P. M. Saffin, “General second order scalar-tensor theory, self tuning, and the Fab Four,” Phys. Rev. Lett
Original
2000
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP
2003
Earlier work this paper cites.
N. Arkani-Hamed, H. -C. Cheng, M. A. Luty, S. Mukohyama, “Ghost condensation and a consistent infrared modification of gravity,” JHEP
2004
Earlier work this paper cites.
P. Creminelli, M. A. Luty, A. Nicolis and L. Senatore, “Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies,” JHEP
2006
Earlier work this paper cites.
C. Cheung, P. Creminelli, A. L. Fitzpatrick, J. Kaplan and L. Senatore, “The Effective Field Theory of Inflation,” JHEP
Original
2008
Earlier work this paper cites.

Similar

S. Weinberg, “Effective Field Theory for Inflation,” Phys. Rev. D
2008
Cited alongside, same era.
L. Boubekeur, P. Creminelli, J. Norena, F. Vernizzi and , “Action approach to cosmological perturbations: the 2nd order metric in matter dominance,” JCAP
Original
2008
Cited alongside, same era.
P. Creminelli, G. D’Amico, J. Norena and F. Vernizzi, “The Effective Theory of Quintessence: the w¡-1 Side Unveiled,” JCAP
Original
2009
Cited alongside, same era.
A. Nicolis, R. Rattazzi and E. Trincherini, “The Galileon as a local modification of gravity,” Phys. Rev. D
Original
2009
Cited alongside, same era.
C. Deffayet, G. Esposito-Farese and A. Vikman, “Covariant Galileon,” Phys. Rev. D
Original
2009
Cited alongside, same era.
L. Senatore, K. M. Smith and M. Zaldarriaga, “Non-Gaussianities in Single Field Inflation and their Optimal Limits from the WMAP 5-year Data,” JCAP
Original
2010
Cited alongside, same era.
P. Creminelli, G. D’Amico, J. Norena, L. Senatore and F. Vernizzi, “Spherical collapse in quintessence models with zero speed of sound,” JCAP
Original
2010
Cited alongside, same era.
M. Park, K. M. Zurek and S. Watson, “A Unified Approach to Cosmic Acceleration,” Phys. Rev. D
Original
2010
Cited alongside, same era.
L. Amendola and S. Tsujikawa, “Dark Energy: Theory and Observations,” Cambridge U. P. (2011) 506 p
2011
Cited alongside, same era.
P. Creminelli, G. D’Amico, M. Musso, J. Norena and E. Trincherini, “Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity,” JCAP
Original
2011
Cited alongside, same era.
C. L. Bennett, D. Larson, J. L. Weiland, N. Jarosik, G. Hinshaw, N. Odegard, K. M. Smith and R. S. Hill
Original
Cited in the paper.
J. K. Bloomfield, E. E. Flanagan, M. Park and S. Watson, “Dark Energy or Modified Gravity? An Effective Field Theory Approach,” arXiv:1211.7054 [astro-ph.CO]
Original
Cited in the paper.

Then

C. Deffayet, X. Gao, D. A. Steer and G. Zahariade, “From k-essence to generalised Galileons,” Phys. Rev. D
Original
2011
Later among the works it cites.
A. De Felice, T. Kobayashi, S. Tsujikawa and , “Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations,” Phys. Lett. B
Original
2011
Later among the works it cites.
X. Gao and D. A. Steer, “Inflation and primordial non-Gaussianities of ’generalized Galileons’,” JCAP
Original
2011
Later among the works it cites.
A. De Felice and S. Tsujikawa, “Inflationary non-Gaussianities in the most general second-order scalar-tensor theories,” Phys. Rev. D
Original
2011
Later among the works it cites.
T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis, “Modified Gravity and Cosmology,” Phys. Rept
Original
2012
Later among the works it cites.
R. A. Battye and J. A. Pearson, “Effective action approach to cosmological perturbations in dark energy and modified gravity,” JCAP
Original
2012
Later among the works it cites.
S. A. Appleby, A. De Felice and E. V. Linder, “Fab 5: Noncanonical Kinetic Gravity, Self Tuning, and Cosmic Acceleration,” JCAP
Original
2012
Later among the works it cites.
P. A. R. Ade
Original
2013
Closest in time.
G. Gubitosi, F. Piazza and F. Vernizzi, “The Effective Field Theory of Dark Energy,” JCAP
Original
2013
Closest in time.
T. Baker, P. G. Ferreira and C. Skordis, “The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples,” Phys. Rev. D
Original
2013
Closest in time.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…