Thomas Buchert - Work in Progress
# WORK IN PROGRESS

## Thomas Buchert

## Papers in preparation:

'On average properties of inhomogeneous fluids in general relativity III: General fluid cosmologies in arbitrary 3+1 foliations'

T. Buchert, P. Mourier and X. Roy,

in preparation.

'Replacing Dark Matter: Backreaction on galaxy cluster scales'

Q. Vigneron and T. Buchert,

in preparation.

'Dynamical spatial curvature as a fit to type Ia Supernovae'

C. Desgrange, A. Heinesen and T. Buchert,

in preparation.

'A Gauss-Bonnet-Chern based topological constraint applied to the closure of averaged cosmologies'

L. Brunswic and T. Buchert,

in preparation.

'Lagrangian theory of structure formation in relativistic cosmology. VI. Information entropies, backreaction, and the Penrose conjecture'

T. Buchert and P. Mourier,

in preparation.

## Papers in progress:

'On the averaging problem in geometric optics and its cosmological consequences'

T. Buchert, H. van Elst and D.J. Schwarz,

in progress.

'Toward dynamical closure conditions for averaged inhomogeneous cosmologies: evolution equations for averaged curvature invariants',

T. Buchert,

in progress.

'Relative information entropy as a measure of inhomogeneity in the Universe',

T. Buchert, A. Hosoya, N. Li and M. Morita,

in progress.

## Papers in fresh drawers:

'Effective braneworld cosmologies, averaging scales and entropic backreaction'

T. Buchert, G.F.R. Ellis and R. Maartens,

Draft.

'On gravitomagnetism in the Minkowskian limit of general relativity'

F. Al Roumi, T. Buchert, M. Kerscher and H. Wagner,

Draft.

'Bounds on the effective evolution of inhomogeneous cosmological dust models and their asymptotics'

T. Buchert, N. Obadia, X. Roy and R. Sussman,

Draft.

'A general integral for the field-strength gradient in Newtonian Gravity'

T. Buchert,

Draft.

'Exact Lagrangian integrals in Newtonian gravity',

T. Buchert,

Draft.

`Is a post--Newtonian setting sufficient to describe the Universe'

T. Buchert, G.F.R. Ellis, H. van Elst and R. Maartens,

Draft.

'The morphological evolution of spatial portions of the Universe',

T. Buchert,

Draft.

## Papers in dusty drawers:

'Covariant fluid approach to Pre-Big-Bang cosmology',

T. Buchert and G. Veneziano,

Draft.

'Building blocks of cosmic structure in the Universe:
three-dimensional singularities and metamorphoses',

T. Buchert and A.G. Weiss,

Draft.

'The determination of nonlinear structures from initial conditions',

T. Buchert, S.F. Shandarin and A.G. Weiss,

Draft.

'Hubble volumes on the desktop',

J. Schmalzing and T. Buchert,

Draft.

'Disentangling the cosmic web II: pattern recognition through Partial
Minkowski Functionals',

J. Schmalzing, T. Buchert, A.L. Melott,
V. Sahni, B.S. Sathyaprakash and S.F. Shandarin,

Draft.

'The hierarchy of Minkowski-valuations for cosmic morphometry',

C. Beisbart, T. Buchert and H. Wagner,

Draft.

'Anisotropic adhesion'

C. Beisbart and T. Buchert,

Draft.

### Last Update: December 22, 2018