Fetching the paper…
Reading the bibliography…
We show that an n-dimensional generalized Robertson-Walker (GRW) space-time with divergence-free conformal curvature tensor exhibits a perfect fluid stress-energy tensor for any f(R) gravity model.
K. Yano, On the torseforming directions in Riemannian Spaces, Proc. Imp. Acad. Tokyo, 20
1944
Earlier work this paper cites.
Y. Choquet-Bruhat, Cauchy problem, in Gravitation: an introduction to current research,
1962
Earlier work this paper cites.
H. A. Buchdahl, Non-linear Lagrangians and cosmological theory, Mon. Not. Roy. Astr. Soc. 150
1970
Earlier work this paper cites.
A. A. Starobinsky, A new type of isotropic cosmological models without singularity, Phys. Lett. B 91
1980
Earlier work this paper cites.
R. M. Wald, General Relativity,
1984
Earlier work this paper cites.
J. D. Barrow and S. Cotsakis, Inflation and the conformal structure of higher-order gravity theories, Phys. Lett. B 214
1988
Earlier work this paper cites.
L. Alías, A. Romero, and M. Sánchez, Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker space-times, Gen. Relativ. Gravit. 27
1995
Earlier work this paper cites.
R. Deszcz, M. Glogowska, M. Hotloś and Z. Sentürk, On certain quasi-Einstein semisymmetric hypersurfaces, Annu. Univ. Sci. Budapest Eötvös Sect. Math. 41
1998
Earlier work this paper cites.
M. Sánchez, On the geometry of generalized Robertson-Walker space-times: geodesics, Gen. Relativ. Gravit. 30
1998
Earlier work this paper cites.
M. Sánchez, On the geometry of generalized Robertson-Walker space-times: curvature and Killing fields, Gen. Relativ. Gravit. 31
1999
Earlier work this paper cites.
M. C. Chaki and R. K. Maity, On quasi Einstein manifolds, Publ. Math. Debrecen 57
2000
Earlier work this paper cites.
S. Capozziello, Curvature Quintessence, Int. J. Mod. Phys. D 11
2002
Earlier work this paper cites.
S. Deser and B. Tekin, Energy in generic higher curvature gravity theories, Phys. Rev. D 67
2003
Earlier work this paper cites.
M. Brozos-Vázquez, E. Garcia-Rio, and R. Vázquez-Lorenzo, Some remarks on locally conformally flat static space-times, J. Math. Phys. 46
2005
Cited alongside, same era.
S. Capozziello, V. F. Cardone and A. Troisi, Dark energy and dark matter as curvature effects?, JCAP 0608
2006
Cited alongside, same era.
S. Capozziello and M. Francaviglia, Extended theories of gravity and their cosmological and astrophysical applications, Gen. Relativ. Gravit. 40
2008
Cited alongside, same era.
S. Capozziello and S. Vignolo, On the well formulation of the initial value problem of metric-affine f(R)-gravity, Int. J. Geom. Meth. Mod. Phys. 6
2009
Cited alongside, same era.
M. Gutiérrez and B. Olea, Global decomposition of a Lorentzian manifold as a generalized Robertson-Walker space, Differ. Geom. Appl. 27
2009
Cited alongside, same era.
C. A. Mantica and L. G. Molinari, Weyl compatible tensors, Int. J. Geom. Meth. Mod. Phys. 11
2014
Later among the works it cites.
S. Capozziello, M. De Laurentis and O. Luongo, Connecting early and late universe by f ( R ) f(R) gravity, Int. J. Mod. Phys. D 24
2014
Later among the works it cites.
M. De Laurentis and A. J. Lopez-Revelles, Newtonian, Post Newtonian and Parameterized Post Newtonian limits of f(R, G) gravity, Int. J. Geom. Meth. Mod. Phys. 11
2014
Later among the works it cites.
S. Capozziello, M. De Laurentis and S. D. Odintsov, Noether Symmetry Approach in Gauss-Bonnet Cosmology, Mod. Phys. Lett. A 29
2014
Later among the works it cites.
C. A. Mantica, L. G. Molinari and U. C. De, A condition for a perfect fluid space-time to be a generalized Robertson-Walker space-time, J. Math. Phys. 57
2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
T. S. Sotiriou and V. Faraoni, f(R) theories of gravity, Rev. Mod. Phys. 82
2010
Cited alongside, same era.
S. Capozziello and M. De Laurentis, Extended theories of gravity, Phys. Rep. 509
2011
Cited alongside, same era.
S. Capozziello and S. Vignolo, The Cauchy problem for f(R)-gravity: An Overview, Int. J. Geom. Meth. Mod. Phys. 9
2012
Cited alongside, same era.
K. Bamba, S. Capozziello, S. Nojiri and S. D. Odintsov, Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests, Astrophys Space Sci. 342
2012
Cited alongside, same era.
S. Capozziello, M. De Laurentis and G. Lambiase, Cosmic relic abundance and f(R) gravity, Phys. Lett. B 715
2012
Cited alongside, same era.
C. A. Mantica, and L. G. Molinari, Riemann compatible tensors, Colloq. Math. 128
2012
Cited alongside, same era.
A. Romero, R. N. Rubio, and J. J. Salamanca, Uniqueness of complete maximal hypersurfaces in spatially parabolic generalized Robertson-Walker space-times, Class. Quantum Gravit. 30
2013
Cited alongside, same era.
C. A. Mantica, Y. J. Suh, and U. C. De, A note on generalized Robertson-Walker space-times, Int. J. Geom. Meth. Mod. Phys. 13
2016
Later among the works it cites.
C. A. Mantica and L. G. Molinari, On the Weyl and the Ricci tensors of Generalized Robertson-Walker space-times, J. Math. Phys. 57
2016
Later among the works it cites.
P. K. S. Dunsby and O. Luongo, On the theory and applications of modern cosmography, Int. J. Geom. Meth. Mod. Phys. 13
2016
Later among the works it cites.
S. Nojiri, S. D. Odintsov and V. K. Oikonomou, Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution, Phys. Rep. 692
2017
Later among the works it cites.
C. A. Mantica and S. Shenawy, Einstein-like warped product manifolds, Int. J. Geom. Meth. Mod. Phys. 14
2017
Later among the works it cites.
C. A. Mantica and L. G. Molinari, Generalized Robertson-Walker space-times, a survey, Int. J. Geom. Meth. Mod. Phys. 14
2017
Later among the works it cites.
B.-Y. Chen, Differential geometry of warped product manifolds and submanifolds,
2017
Later among the works it cites.
C. A. Mantica and L. G. Molinari, Twisted Lorentzian manifolds: a characterization with torse-forming time-like unit vectors, Gen. Relativ. Gravit. 49:51 (2017)
2017
Later among the works it cites.