Built on

L. Guzzo et al
Original
1944
Earlier work this paper cites.
K. Tomita, “Non-Linear Theory of Gravitational Instability in the Expanding Universe,” Prog. Theor. Phys. 37
1967
Earlier work this paper cites.
U.H. Gerlach and U.K. Sengupta, ”Gauge-invariant perturbations on most general spherically symmetric space-times” Phys. Rev. D 19
1979
Earlier work this paper cites.
E. Bertschinger and A. J. S. Hamilton, Astrophys. J. 435
1994
Earlier work this paper cites.
N. Mustapha, C. Hellaby, G. F. R. Ellis, “Large scale inhomogeneity versus source evolution: Can we distinguish them observationally?,” Mon. Not. Roy. Astron. Soc. 292
1997
Earlier work this paper cites.
D. J. Eisenstein and W. Hu, “Baryonic features in the matter transfer function,” Astrophys. J. 496
1998
Earlier work this paper cites.
K. Tomita, “Distances and lensing in cosmological void models,” Astrophys. J. 529
2000
Earlier work this paper cites.
M. N. Celerier, “Do we really see a cosmological constant in the supernovae data?,” Astron. Astrophys. 353
2000
Earlier work this paper cites.
K. Tomita, “A local void and the accelerating universe,” Mon. Not. Roy. Astron. Soc. 326
2001
Earlier work this paper cites.
K. Tomita, “Analyses of type Ia supernova data in cosmological models with a local void,” Prog. Theor. Phys. 106
2001
Earlier work this paper cites.
H. Iguchi, T. Nakamura and K. i. Nakao, “Is dark energy the only solution to the apparent acceleration of the present universe?,” Prog. Theor. Phys. 108
2002
Earlier work this paper cites.
R. A. Vanderveld, E. E. Flanagan and I. Wasserman, “Mimicking dark energy with Lemaitre-Tolman-Bondi models: Weak central singularities and critical points,” Phys. Rev. D 74
2006
Earlier work this paper cites.
H. Alnes, M. Amarzguioui and O. Gron, “An inhomogeneous alternative to dark energy?,” Phys. Rev. D 73
2006
Earlier work this paper cites.
H. Alnes and M. Amarzguioui, “CMB anisotropies seen by an off-center observer in a spherically symmetric inhomogeneous Universe,” Phys. Rev. D 74
2006
Earlier work this paper cites.
H. Alnes and M. Amarzguioui, “The supernova Hubble diagram for off-center observers in a spherically symmetric inhomogeneous Universe,” Phys. Rev. D 75
2007
Earlier work this paper cites.
K. Enqvist and T. Mattsson, “The effect of inhomogeneous expansion on the supernova observations,” JCAP 0702
2007
Earlier work this paper cites.

Similar

T. Clifton, P. G. Ferreira and K. Land, “Living in a Void: Testing the Copernican Principle with Distant Supernovae,” Phys. Rev. Lett. 101
Original
2008
Cited alongside, same era.
C. M. Yoo, T. Kai and K. i. Nakao, “Solving Inverse Problem with Inhomogeneous Universe,” Prog. Theor. Phys. 120
Original
2008
Cited alongside, same era.
J. Garcia-Bellido and T. Haugboelle, “Confronting Lemaitre-Tolman-Bondi models with Observational Cosmology,” JCAP 0804
Original
2008
Cited alongside, same era.
J. P. Zibin, A. Moss and D. Scott, “Can we avoid dark energy?,” Phys. Rev. Lett. 101
Original
2008
Cited alongside, same era.
J. Garcia-Bellido and T. Haugboelle, “Looking the void in the eyes - the kSZ effect in LTB models,” JCAP 0809

Then

T. Biswas, A. Notari and W. Valkenburg, “Testing the Void against Cosmological data: fitting CMB, BAO, SN and H0,” JCAP 1011
Original
2010
Later among the works it cites.
V. Marra and M. Paakkonen, “Observational constraints on the LLTB model,” JCAP 1012
Original
2010
Later among the works it cites.
C. M. Yoo, K. i. Nakao and M. Sasaki, “CMB observations in LTB universes: Part I: Matching peak positions in the CMB spectrum,” JCAP 1007
Original
2010
Later among the works it cites.
C. M. Yoo, K. i. Nakao and M. Sasaki, “CMB observations in LTB universes: Part II – the kSZ effect in an LTB universe,” JCAP 1010
Original
2010
Later among the works it cites.
P. Dunsby, N. Goheer, B. Osano and J. P. Uzan, “How close can an Inhomogeneous Universe mimic the Concordance Model?,” JCAP 1006

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2012

Evolution of density perturbations in large void universe

Nishikawa, Ryusuke, Yoo, Chul-Moon, Nakao, Ken-ichi

Understand

We study the evolution of linear density perturbations in a large spherical void universe which accounts for the acceleration of the cosmic volume expansion without introducing dark energy.

The density contrast of this void is not large within the light cone of an observer at the center of the void.
Therefore, we describe the void structure as a perturbation with a dimensionless small parameter $\kappa$ in a homogeneous and isotropic universe within the region observable for the observer.
We introduce additional anisotropic perturbations with a dimensionless small parameter $\epsilon$, whose evolution is of interest.

Built on

L. Guzzo et al
Original
1944
Earlier work this paper cites.
K. Tomita, “Non-Linear Theory of Gravitational Instability in the Expanding Universe,” Prog. Theor. Phys. 37
1967
Earlier work this paper cites.
U.H. Gerlach and U.K. Sengupta, ”Gauge-invariant perturbations on most general spherically symmetric space-times” Phys. Rev. D 19
1979
Earlier work this paper cites.
E. Bertschinger and A. J. S. Hamilton, Astrophys. J. 435
1994
Earlier work this paper cites.
N. Mustapha, C. Hellaby, G. F. R. Ellis, “Large scale inhomogeneity versus source evolution: Can we distinguish them observationally?,” Mon. Not. Roy. Astron. Soc. 292
1997
Earlier work this paper cites.
D. J. Eisenstein and W. Hu, “Baryonic features in the matter transfer function,” Astrophys. J. 496
1998
Earlier work this paper cites.
K. Tomita, “Distances and lensing in cosmological void models,” Astrophys. J. 529
2000
Earlier work this paper cites.
M. N. Celerier, “Do we really see a cosmological constant in the supernovae data?,” Astron. Astrophys. 353
2000
Earlier work this paper cites.
K. Tomita, “A local void and the accelerating universe,” Mon. Not. Roy. Astron. Soc. 326
2001
Earlier work this paper cites.
K. Tomita, “Analyses of type Ia supernova data in cosmological models with a local void,” Prog. Theor. Phys. 106
2001
Earlier work this paper cites.
H. Iguchi, T. Nakamura and K. i. Nakao, “Is dark energy the only solution to the apparent acceleration of the present universe?,” Prog. Theor. Phys. 108
2002
Earlier work this paper cites.
R. A. Vanderveld, E. E. Flanagan and I. Wasserman, “Mimicking dark energy with Lemaitre-Tolman-Bondi models: Weak central singularities and critical points,” Phys. Rev. D 74
2006
Earlier work this paper cites.
H. Alnes, M. Amarzguioui and O. Gron, “An inhomogeneous alternative to dark energy?,” Phys. Rev. D 73
2006
Earlier work this paper cites.
H. Alnes and M. Amarzguioui, “CMB anisotropies seen by an off-center observer in a spherically symmetric inhomogeneous Universe,” Phys. Rev. D 74
2006
Earlier work this paper cites.
H. Alnes and M. Amarzguioui, “The supernova Hubble diagram for off-center observers in a spherically symmetric inhomogeneous Universe,” Phys. Rev. D 75
2007
Earlier work this paper cites.
K. Enqvist and T. Mattsson, “The effect of inhomogeneous expansion on the supernova observations,” JCAP 0702
2007
Earlier work this paper cites.