157 citations · 309 across the 20 of their papers we have counts for
10 papers · 1 filter
Relativistic models of structure formation with stable end-state configuration
Jan J. Ostrowski
The aim of this paper is to provide an analytical model for the formation of stable structures (cosmological or astrophysical), where stability is obtained through the tangential p…
Relativistic modeling of cosmological structures with Bianchi IX spacetimes
Przemyslaw Malkiewicz, Jan J. Ostrowski, Ismael Delgado Gaspar
We develop a relativistic framework to investigate the evolution of cosmological structures from the initial density perturbations to the highly nonlinear regime. Our approach invo…
Quantum system ascribed to the Oppenheimer-Snyder model of massive star
A. Góźdź, J. J. Ostrowski, A. Pȩdrak +1
We quantize the Oppenheimer-Snyder model of black hole using the integral quantization method. We treat spatial and temporal coordinates on the same footing both at classical and q…
Beyond relativistic Lagrangian perturbation theory. I. An exact-solution controlled model for structure formation
Ismael Delgado Gaspar, Thomas Buchert, Jan J. Ostrowski
We develop a new nonlinear method to model structure formation in general relativity from a generalization of the relativistic Lagrangian perturbation schemes, controlled by Szeker…
On general-relativistic Lagrangian perturbation theory and its non-perturbative generalization
Thomas Buchert, Ismael Delgado Gaspar, Jan J. Ostrowski
The Newtonian Lagrangian perturbation theory is a widely used framework to study structure formation in cosmology in the nonlinear regime. We review a general-relativistic formulat…
On the maximum volume of collapsing structures
Jan J. Ostrowski, Ismael Delgado Gaspar
In many cosmological models, including the CDM concordance model, there exist a theoretical upper bounds on the size of collapsing structures. The most common formulations in th…
Hamiltonian formulation of dust cloud collapse
Nick Kwidzinski, Daniele Malafarina, Jan Ostrowski +2
We consider the gravitational collapse of self-gravitating spherical dust cloud in the Hamiltonian formalism. We address both homogeneous and inhomogeneous cases. Our novel derivat…
A few numbers from the turnaround epoch of collapse
Jan J. Ostrowski
The turnaround epoch of gravitational collapse is examined by means of relativistic Lagrangian perturbation theory. Averaged, scalar equations applied to the fluid's evolution reve…
On the Green and Wald formalism
Jan J. Ostrowski, Boudewijn F. Roukema
Backreaction in the cosmological context is a longstanding problem that is especially important in the present era of precise cosmology. The standard model of a homogeneous backgro…
Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?
T. Buchert, M. Carfora, G. F. R. Ellis +8
No. In a number of papers Green and Wald argue that the standard FLRW model approximates our Universe extremely well on all scales, except close to strong field astrophysical objec…