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In metric formalism, Noether symmetry of F(R) theory of gravity in vacuum and in the presence of pressureless dust yields $F(R)\propto R^\frac{3}{2}$ along with the conserved current $\frac{d}{dt} (a\sqrt R)$ in Robertson-Walker metric and nothing else.
H. A. Buchdahl, Non-linear Lagrangians and cosmological theory, Mon.Not.Roy.Astron.Soc. 150
1970
Earlier work this paper cites.
P. Teyssandier and P. Tourrence, The Cauchy problem for the R+R**2 theories of gravity without torsion, J.Math.Phys 24
1983
Earlier work this paper cites.
B. Whitt, Fourth Order Gravity as General Relativity Plus Matter, Phys.Lett. B145
1984
Earlier work this paper cites.
A. Vilenkin, Classical and Quantum Cosmology of the Starobinsky Inflationary Model, Phys. Rev. D 32
1985
Earlier work this paper cites.
J. D.Barrow and S. Cotsakis, nflation and the Conformal Structure of Higher Order Gravity Theories, Phys.Lett. B214
1988
Earlier work this paper cites.
K. Maeda, Towards the Einstein-Hilbert Action via Conformal Transformation, Phys.Rev. D39
1989
Earlier work this paper cites.
R. de. Ritis et. al
1990
Earlier work this paper cites.
R. de. Ritis et. al
1991
Earlier work this paper cites.
S. Capozziello and R. de Ritis, Relation between the potential and nonminimal coupling in inflationary cosmology, Phys. Lett. A 177
1993
Earlier work this paper cites.
S. Capozziello and R. de Ritis, Noether’s symmetries in fourth order cosmologies, Nuovo Cim. B 109
1994
Earlier work this paper cites.
D. Wands, Extended gravity theories and the Einstein-Hilbert action, Class.Quant.Grav. 11
1994
Earlier work this paper cites.
G. Magnano and L.M. Sokolowski, On physical equivalence between nonlinear gravity theories and a general relativistic selfgravitating scalar field, Phys.Rev. D50
1994
Earlier work this paper cites.
S. Capozziello, R. de Ritis, C. Rubano and P. Scudellaro, Noether symmetries in cosmology, Rivista del Nuovo Cimento 4
1996
Earlier work this paper cites.
S. Capozziello, R. de Ritis and A. Marino, Recovering the effective cosmological constant in extended gravity theories, Gen. Rel. Grav. 30
1998
Earlier work this paper cites.
S. Capozziello, R de. Ritis and A A Marino, Conformal equivalence and Noether symmetries in cosmology, Class.Quant.Grav. 14
1998
Earlier work this paper cites.
S. Capozziello and G. Lambiase, Higher order corrections to the effective gravitational action from Noether symmetry approach, Gen. Relativ. Gravit. 32
2000
Earlier work this paper cites.
A. K. Sanyal, C. Rubano and E. Piedipalumbo, Coupling parameters and the form of the potential via Noether symmetry, Gen. Rel. Grav. 35
2003
Earlier work this paper cites.
T. Padamanabhan, Cosmological constant: The Weight of the vacuum, Phys.Rep. 380
2003
Cited alongside, same era.
E. E. Flanagan, The Conformal frame freedom in theories of gravitation, Class.Quant.Grav. 21
2004
Cited alongside, same era.
A. K. Sanyal, B. Modak, C. Rubano and E. Piedipalumbo, Noether symmetry in the higher order gravity theory, Gen. Rel. Grav. 37
2005
Cited alongside, same era.
G. J. Olmo, The Gravity Lagrangian according to solar system experiments, Phys.Rev.Lett. 95 (2005) 261102, 4pp
2005
Cited alongside, same era.
G. J. Olmo, Post-Newtonian constraints on f(R) cosmologies in metric and Palatini formalism, Phys.Rev. D72
2005
Cited alongside, same era.
A. De. Felice and S. Tsujikawa, f(R) theories, Living Rev.Rel. 13
2010
Later among the works it cites.
T. P. Sotiriou and V. Faraoni, f(R) Theories Of Gravity, Rev.Mod.Phys. 82
2010
Later among the works it cites.
S. Capozziello, M. De Laurentis, and V. Faraoni, A Bird’s eye view of f(R)-gravity, Open Astron.J. 3
2010
Later among the works it cites.
2010
Later among the works it cites.
S. Nojiri and S. D. Odintsov, Unified cosmic history in modified gravity: From F(R) theory to Lorentz non-invariant models, Phys.Rept. 505
2011
Later among the works it cites.
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G. Allemandi, A. Borowiec, M. Francaviglia and S. D. Odintsov, Dark energy dominance and cosmic acceleration in first order formalism, Phys.Rev. D72 (2005) 063505,19pp, arXiv:gr-qc/0504057, 2005
2005
Cited alongside, same era.
G. Allemandi, M. Capone, S. Capozziello and M. Francavigli, Conformal aspects of Palatini approach in extended theories of gravity, Gen.Relativ.Grav. 38
2006
Cited alongside, same era.
T. P. Sotiriou, f(R) gravity and scalar-tensor theory, Class.Quant.Grav. 23
2006
Cited alongside, same era.
S. Nojiri and S. D. Odintsov, Modified gravity and its reconstruction from the universe expansion history, J.Phys.Conf.Ser. 66
2007
Cited alongside, same era.
S. Capozziello, A. Stabile and A. Troisi, Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach, Class. Quant. Grav. 24
2007
Cited alongside, same era.
S. Capozziello, S. Nesseris and L. J. Perivolaropoulos, Reconstruction of the Scalar-Tensor Lagrangian from a LCDM Background and Noether Symmetry, J. Cosmol. Astropart. Phys. 0712
2007
Cited alongside, same era.
2007
Cited alongside, same era.
S. Capozziello and M. De. Laurentis, Extended Theories of Gravity, Phys.Rept. 509
2011
Later among the works it cites.
A. Paliathanasis, M. Tsamparlis and S. Basilakos, Constraints and analytical solutions of f(R) theories of gravity using Noether symmetries, Phys. Rev. D 84
2011
Later among the works it cites.
2011
Later among the works it cites.
2012
Later among the works it cites.
2012
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
N. Sk and A.K. Sanyal, Field independent cosmic evolution, Journal of Astrophysics, Volume 2013, Article ID 590171,(2013), arXiv: 1311.2539 [gr-qc]
2013
Later among the works it cites.
A. Sil and S. Som, The coincidence problem in f(R) gravity models, General Relativity and Gravitation 45
2013
Later among the works it cites.
S. Ruz, K. Sarkar, N. Sk and A. K. Sanyal, Validating variational principle for higher order theory of gravity, Mod. Phys. Lett. A 30
2015
Later among the works it cites.
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