Thomas Buchert - Work in Progress
# WORK IN PROGRESS

## Thomas Buchert

## Papers in preparation:

'Homology of the Cosmic Microwave Background: Are finite universe models preferred over the infinite standard model?'

P. Pranav, R. Aurich, T. Buchert, M.J. France and F. Steiner,

in preparation.

## Papers in progress:

'Morphological dynamics of spatial portions of the Universe'

T. Buchert,

in progress.

'Topology of directional asymmetries in the Cosmic Microwave Background'

P. Pranav and T. Buchert,

in progress.

'Shape analysis in curved spacetime via Minkowski functionals'

N. Uzun and T. Buchert,

in progress.

'Cosmological Backreaction and the Separate Universe Conjecture: I. Dynamical volume partitioning of Newtonian cosmologies'

T. Buchert, J.J. Ostrowski and A. Bovon,

in progress.

'Revisiting globally static and stationary cosmologies'

T. Buchert and F. Sartini,

in progress.

'The Yamabe gap: Inhomogeneity measure and morphological driver of cosmic expansion'

L. Brunswic and T. Buchert,

in progress.

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

T. Buchert and P. Mourier,

in progress.

## Papers in fresh drawers:

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

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

Draft.

'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: January 31, 2023