On the covariance of scalar averaging and backreaction in relativistic inhomogeneous cosmology

Ellis G F R, Bruni M and Hwang J 1990 Density-gradient–vorticity relation in perfect-fluid Robertson-Walker perturbations Phys. Rev. D 42

1990

Earlier work this paper cites.

Buchert T and Ehlers J 1997 Averaging inhomogeneous Newtonian cosmologies Astron. Astrophys. 320

1997

Earlier work this paper cites.

Buchert T 2000 On average properties of inhomogeneous fluids in general relativity. I: Dust cosmologies Gen. Relativ. Grav. 32

2000

Earlier work this paper cites.

Buchert T 2001 On average properties of inhomogeneous fluids in general relativity. II: Perfect fluid cosmologies Gen. Relativ. Grav. 33

2001

Earlier work this paper cites.

Buchert T and Carfora M 2002 Regional averaging and scaling in relativistic cosmology Class. Quantum Grav. 19

2002

Earlier work this paper cites.

Ellis G F R and Buchert T 2005 The universe seen at different scales Phys. Lett. A 347

2005

Earlier work this paper cites.

Sussman R A 2008 Quasi-local variables and inhomogeneous cosmological sources with spherical symmetry Proceedings of the Third International Meeting on Gravitation and Cosmology, Morelia, Mexico, AIP Conference Proceedings 1083

Original

2008

Earlier work this paper cites.

Wiltshire D L 2008 Cosmological equivalence principle and the weak–field limit, Phys. Rev. D 78

Original

2008

Earlier work this paper cites.

Gasperini M, Marozzi G, Veneziano G 2009 Gauge invariant averages for the cosmological backreaction J. Cosmol. Astropart. Phys. JCAP03(2009)011 [ arXiv:0901.1303

Original

2009

Earlier work this paper cites.

Larena J, Alimi J-M, Buchert T, Kunz M and Corasaniti P-S 2009 Testing backreaction effects with observations, Phys. Rev. D 79

Original

2009

Cited alongside, same era.

Gasperini M, Marozzi G, Veneziano G 2010 A covariant and gauge invariant formulation of the cosmological “backreaction” J. Cosmol. Astropart. Phys. JCAP02(2010)009 [ arXiv:0912.3244 ]

Original

2010

Cited alongside, same era.

Räsänen S 2010 Light propagation in statistically homogeneous and isotropic universes with general matter content, J. Cosmol. Astropart. Phys. JCAP03(2010)018 [ arXiv:0912.3370 ]

Original

2010

Cited alongside, same era.

Clarkson C A, Ellis G F R, Larena J and Umeh O C 2011 Does the growth of structure affect our dynamical models of the universe? The averaging, backreaction and fitting problems in cosmology Rep. Prog. Phys. 74

Original

2011

Cited alongside, same era.

Gourgoulhon E 2012 3 + 1 3+1 Formalism in general relativity: Bases of numerical relativity Lecture Notes in Physics 846

2012

Later among the works it cites.

Skarke H 2014 Inhomogeneity implies Accelerated Expansion Phys. Rev. D 89

Original

2014

Later among the works it cites.

Buchert T, Ellis G F R and van Elst H 2009 Geometrical order–of–magnitude estimates for spatial curvature in realistic models of the Universe Gen. Relativ. Grav. 41

Original

2017

Later among the works it cites.

Buchert T, Mourier P and Roy X 2018 On cosmological backreaction and its dependence on space-time foliation Class. Quantum Grav. 35

Original

2018

Closest in time.

Grasso M, Korzyński M and Serbenta J 2018 Geometric optics in general relativity using bilocal operators [ arXiv:1811.10284 ]