Fetching the paper…

Reading the bibliography…

A dynamical systems study of the inhomogeneous Lambda-CDM model · Around

2010

A dynamical systems study of the inhomogeneous Lambda-CDM model

Sussman, Roberto A., Izquierdo, German

Original
PDF
Post on X

Understand

We consider spherically symmetric inhomogeneous dust models with a positive cosmological constant, $\Lambda$, given by the Lemaitre-Tolman-Bondi metric.

These configurations provide a simple but useful generalization of the Lambda-CDM model describing cold dark matter (CDM) and a Lambda term, which seems to fit current cosmological observations.
The dynamics of these models can be fully described by scalar evolution equations that can be given in the form of a proper dynamical system associated with a 4-dimensional phase space whose critical points and invariant subspaces are examined and classified.
The phase space evolution of various configurations is studied in detail by means of two 2-dimensional subspaces: a projection into the invariant homogeneous subspace associated with Lambda-CDM solutions with FLRW metric, and a projection into a subspace generated by suitably defined fluctuations that convey the effects of inhomogeneity.

Built on

Kottler F 1918 Ann Phys
1918
Earlier work this paper cites.
Omer G C 1965 Proc. Nat. Ac. Sci
1965
Earlier work this paper cites.
Gibbons G W and Hawking S W 1977 Phys. Rev
1987
Earlier work this paper cites.
Zecca A 1991 Nuovo Cimento
1991
Earlier work this paper cites.
Felten J E and Isaacman R 1986 Rev Mod Phys
1992
Earlier work this paper cites.
Barrow J D B and Stein–Schabes 1984 ÊPhys Lett
1993
Earlier work this paper cites.
Wainwright J and Ellis G F R (ed) 1997 Dynamical Systems in Cosmology
1997
Earlier work this paper cites.
Krasinski A 1998 Inhomogeneous Cosmological Models
1998
Earlier work this paper cites.
Ellis G F R and Bruni M 1989 Phys. Rev
1998
Earlier work this paper cites.

Similar

Hayward S A 1996 Phys. Rev
1998
Cited alongside, same era.
Matravers D R and Humphreys N P 2001 Gen. Rel. Grav
1998
Cited alongside, same era.
Coley A A 1999 Dynamical Systems in Cosmology
1999
Cited alongside, same era.
Nakao K 1992 Gen Rel Gravit
2001
Cited alongside, same era.
Sussman R A and García–Trujillo L 2002 Class. Quantum Grav
2002
Cited alongside, same era.
Padmanabhan T 2003 Phys. Rep
2003
Cited alongside, same era.
Coley A A 2003 Dynamical Systems and Cosmology
2003
Cited alongside, same era.

Then

Wainwright J and Lim WC 2005 J Hyperbol Diff Equat
2005
Later among the works it cites.
Krasinski A and Plebañski 2007 An introduction to General Relativity and Cosmology
2007
Later among the works it cites.
Sussman R A 2008 Class. Quantum Grav
2008
Later among the works it cites.
Wainwright J and Andrews S 2009 Class. Quantum Grav
2009
Later among the works it cites.
Sussman R A 2009 Phys. Rev
Original
2009
Later among the works it cites.
Sussman R A 2009 Quasi-local variables and scalar averaging in LTB dust models
Original
2009
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Peebles P J E and Ratra B 2003 Rev. Mod. Phys

2004

Cited alongside, same era.

Sussman R A 2010 A new approach for doing theoretical and numeric work with Lemaitre-Tolman-Bondi dust models

2010

Closest in time.

Sussman R A 2010 Radial asymptotics of Lemaitre-Tolman-Bondi dust models

2010

Closest in time.