Fetching the paper…
Reading the bibliography…
In this first paper we present a Lagrangian framework for the description of structure formation in general relativity, restricting attention to irrotational dust matter.
R. Arnowitt, S. Deser and C.W. Misner 1962: The Dynamics of General Relativity. S. 227-265 in Witten, Louis (Hrsg.) 1962:
1962
Earlier work this paper cites.
G.F.R. Ellis: Dynamics of pressure free matter in general relativity
1967
Earlier work this paper cites.
Ya.B. Zel’dovich: Gravitational instability: An approximate theory for large density perturbations
1970
Earlier work this paper cites.
Ya.B. Zel’dovich: Separation of uniform matter into parts under the action of gravitation. Astrophysics
1970
Earlier work this paper cites.
M.A.H. MacCallum: Cosmological models from a geometric point of view. In E. Schatzman, editor, Cargèse Lectures in Physics, pp. 61–174, New York, Gordon and Breach (1973)
1973
Earlier work this paper cites.
Ya.B. Zel’dovich, A.G. Myshkis:
1973
Earlier work this paper cites.
A.G. Doroshkevich, V.S. Ryabenkii and S.F. Shandarin: nonlinear theory of development of potential perturbations. Astrofizika
1975
Earlier work this paper cites.
R. Thom: Structural Stability and Morphogenesis. W.A.Benjamin Inc., Massachusetts (1975)
1975
Earlier work this paper cites.
C.J.S. Clarke and B.G. Schmidt: Singularities: the state of the art
1977
Earlier work this paper cites.
Ya.B. Zel’dovich, in
1978
Earlier work this paper cites.
V.I. Arnol’d: Evolution of singularities of potential flows in collisionless media and transformations of caustics in three–dimensional space
1982
Earlier work this paper cites.
V.I. Arnol’d, S.F. Shandarin and Ya.B. Zel’dovich: The large–scale structure of the Universe. I General properties, one– and two–dimensional models
1982
Earlier work this paper cites.
V.I. Arnol’d: Singularities of ray systems
1983
Earlier work this paper cites.
V.I. Arnol’d: Singularities, bifurcations, and catastrophes
1983
Earlier work this paper cites.
V.I. Arnol’d: Some open problems in the theory of singularities
1983
Earlier work this paper cites.
S. Chandrasekhar,
1983
Earlier work this paper cites.
V.I. Arnol’d, S.M. Gusein–Sade and A.N. Varchenko:
1984
Earlier work this paper cites.
T. Buchert and G. Götz: A class of solutions for self–gravitating dust in Newtonian gravity
1987
Earlier work this paper cites.
T. Buchert: A class of solutions in Newtonian cosmology and the pancake theory
1989
Earlier work this paper cites.
S.F. Shandarin and Ya.B. Zel’dovich: The large–scale structure of the universe: turbulence, intermittency, structures in a self–gravitating medium
1989
Earlier work this paper cites.
V.I. Arnol’d (editor): Theory of singularities and its applications
1990
Earlier work this paper cites.
M. Nakahara:
1990
Earlier work this paper cites.
S. Bildhauer, T. Buchert and M. Kasai: Solutions in Newtonian cosmology – the pancake theory with cosmological constant
1992
Earlier work this paper cites.
T. Buchert: Lagrangian theory of gravitational instability of Friedmann–Lemaître cosmologies and the ‘Zel’dovich approximation’
1992
Earlier work this paper cites.
C.J.S. Clarke and N. O’Donnell: Dynamical extension through a space–time singularity
1992
Earlier work this paper cites.
T. Buchert: Lagrangian perturbation theory – a key–model for large–scale structure
1993
Earlier work this paper cites.
T. Buchert and J. Ehlers: Lagrangian theory of gravitational instability of Friedmann–Lemaître cosmologies – second order approach: an improved model for nonlinear clustering
1993
Earlier work this paper cites.
C.J.S. Clarke: The analysis of space–time singularities. Cambridge Univ. Press (1993)
1993
Earlier work this paper cites.
E. Bertschinger and A.J.S. Hamilton: Lagrangian evolution of the Weyl tensor. Astrophys. J
1994
Cited alongside, same era.
T. Buchert: Lagrangian theory of gravitational instability of Friedmann-Lemaître cosmologies: generic third–order model for nonlinear clustering
1994
Cited alongside, same era.
K.M. Croudace, J. Parry, D.S. Salopek and J.M. Stewart: Applying the Zel’dovich approximation to general relativity
1994
Cited alongside, same era.
S. Matarrese, O. Pantano and D. Saez: General relativistic dynamics of irrotational dust: cosmological implications. Phys. Rev. Lett
1994
Cited alongside, same era.
S. Matarrese, O. Pantano and D. Saez: A relativistic approach to gravitational instability in the expanding Universe – second–order Lagrangian solutions
1994
Cited alongside, same era.
T. Buchert: On average properties of inhomogeneous cosmologies. In: 9th JGRG Meeting, Hiroshima 1999, Y. Eriguchi et al. (eds.),
2000
Later among the works it cites.
T. Buchert, M. Kerscher and C. Sicka: Backreaction of inhomogeneities on the expansion: The evolution of cosmological parameters. Phys. Rev. D
2000
Later among the works it cites.
S. Lante: Zur relativistischen Erweiterung kosmologischer Modelle der Strukturbildung
2000
Later among the works it cites.
T. Buchert: On average properties of inhomogeneous fluids in general relativity: perfect fluid cosmologies
2001
Later among the works it cites.
M. Kerscher, T. Buchert and T. Futamase: On the abundance of collapsed objects
2001
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
D.S. Salopek, J.M. Stewart and K.M. Croudace: The Zel’dovich Approximation and the relativistic Hamilton–Jacobi Equation,
1994
Cited alongside, same era.
J. Frauendiener and C. Klein: On crossing dust shells
1995
Cited alongside, same era.
M. Kasai: Tetrad–based perturbative approach to inhomogeneous universes: a general relativistic version of the Zel’dovich approximation
1995
Cited alongside, same era.
L. Kofman and D. Pogosyan: Dynamics of gravitational instability is nonlocal
1995
Cited alongside, same era.
V. Sahni and P. Coles: Approximation methods for nonlinear gravitational clustering
1995
Cited alongside, same era.
T. Buchert: Lagrangian Perturbation Approach to the Formation of Large–scale Structure. In
1996
Cited alongside, same era.
S. Matarrese and D. Terranova: Post–Newtonian cosmological dynamics in Lagrangian coordinates
1996
Cited alongside, same era.
G.F.R. Ellis and C.G. Tsagas: Relativistic approach to nonlinear peculiar velocities and the Zel’dovich approximation. Phys. Rev. D
2002
Later among the works it cites.
T. Buchert and M. Carfora: Cosmological parameters are ‘dressed’
2003
Later among the works it cites.
B.C. Nolan: Dynamical extensions for shell–crossing singularities
2003
Later among the works it cites.
M. Ostermann: Grundlagen der Formulierung einer Lagrangeschen Störungstheorie in der relativistischen Kosmologie
2003
Later among the works it cites.
L. Andersson, H. van Elst, W.C. Lim and C. Uggla: Asymptotic silence of generic cosmological singularities
2005
Later among the works it cites.
T. Buchert and A. Domínguez: Adhesive gravitational clustering
2005
Later among the works it cites.
T. Buchert: An exact Lagrangian integral for the Newtonian gravitational field strength
2006
Later among the works it cites.
T. Buchert: The non–perturbative regime of cosmic structure formation
2006
Later among the works it cites.
W.C. Lim, C. Uggla and J. Wainwright: Asymptotic silence–breaking singularities
2006
Later among the works it cites.
S. Räsänen: Accelerated expansion from structure formation
2006
Later among the works it cites.
T. Buchert: Dark Energy from structure – a status report
2008
Later among the works it cites.
T. Buchert and M. Carfora: On the curvature of the present day universe
2008
Later among the works it cites.
J. Ehlers and T. Buchert: On the Newtonian limit of the Weyl tensor
2009
Later among the works it cites.
J. Larena, J.–M. Alimi, T. Buchert, M. Kunz and P.–S. Corasaniti: Testing backreaction effects with observations
2009
Later among the works it cites.
T. Buchert: Toward physical cosmology: focus on inhomogeneous geometry and its non–perturbative effects
2011
Later among the works it cites.
C. Clarkson, G.F.R. Ellis, J. Larena and O. Umeh: Does the growth of structure affect our dynamical models of the Universe? The averaging, backreaction, and fitting problems in cosmology
2011
Later among the works it cites.
G.F.R. Ellis: Inhomogeneity effects in cosmology
2011
Later among the works it cites.
E.W. Kolb: Backreaction of inhomogeneities can mimic dark energy
2011
Later among the works it cites.
S. Räsänen: Backreaction: directions of progress
2011
Later among the works it cites.
T. Buchert and S. Räsänen: Backreaction in late–time cosmology
2012
Closest in time.
C. Rampf and T. Buchert: Lagrangian perturbations and the matter bispectrum I: fourth-order model for nonlinear clustering
2012
Closest in time.
X. Roy and T. Buchert: Relativistic cosmological perturbation scheme on a general background: scalar perturbations for irrotational dust
2012
Closest in time.