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The evolution of an inhomogeneous universe composed entirely of matter is followed from an early, nearly uniform state until the time when the inhomogeneities have begun to grow large. The particular distribution of matter studied in this…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-10 Hael Collins

Pattern forming systems allow for a wealth of states, where wavelengths and orientation of patterns varies and defects disrupt patches of monocrystalline regions. Growth of patterns has long been recognized as a strong selection mechanism.…

Pattern Formation and Solitons · Physics 2023-02-28 Ryan Goh , Arnd Scheel

We compute the circuit complexity of scalar curvature perturbations on FLRW cosmological backgrounds with fixed equation of state $w$ using the language of squeezed vacuum states. Backgrounds that are accelerating and expanding, or…

High Energy Physics - Theory · Physics 2020-08-24 Arpan Bhattacharyya , Saurya Das , S. Shajidul Haque , Bret Underwood

(abridged version) The separate universe conjecture states that in General Relativity a density perturbation behaves locally (i.e. on scales much smaller than the wavelength of the mode) as a separate universe with different background…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-04 Liang Dai , Enrico Pajer , Fabian Schmidt

Using a large N sigma model approximation we explicitly calculate the power spectrum of gravitational waves arising from a global phase transition in the early universe and we confirm that it is scale invariant, implying an observation of…

Astrophysics · Physics 2008-11-26 Katherine Jones-Smith , Lawrence M. Krauss , Harsh Mathur

An oscillating universe cycles through a series of expansions and contractions. We propose a model in which ``phantom'' energy with a supernegative pressure ($p < - \rho$) grows rapidly and dominates the late-time expanding phase. The…

Astrophysics · Physics 2008-03-29 Katherine Freese , Matthew G. Brown , William H. Kinney

We consider self-avoiding walks (SAWs) on the backbone of percolation clusters in space dimensions d=2, 3, 4. Applying numerical simulations, we show that the whole multifractal spectrum of singularities emerges in exploring the…

Disordered Systems and Neural Networks · Physics 2009-11-13 Viktoria Blavatska , Wolfhard Janke

In the string landscape picture, the effective potential is characterized by an enormous number of local minima of which only a minuscule fraction are suitable for the evolution of life. In this "multiverse", random transitions are…

High Energy Physics - Theory · Physics 2009-11-11 L. Clavelli

We show that any accelerating Friedmann-Robertson-Walker (FRW) cosmology with equation of state w < -1/3 (and therefore not only a de Sitter stage with w =-1) exhibits three-dimensional conformal symmetry on future constant-time…

High Energy Physics - Theory · Physics 2015-06-17 A. Kehagias , A. Riotto

The time development of a model of (2+1)-dimensional torus universe is studied based on background field equations which follow from a string theory. The metrics in various cases are characterized by a real parameter which specifies a ratio…

High Energy Physics - Theory · Physics 2009-10-30 Kenji Hotta , Keiji Kikkawa , Michihiko Sakamoto

We consider the evolution of circular string loops in power law expanding universes represented by a spatially flat Friedman-Robertson-Walker metric with scale factor $a(t)\propto t^p$ where $t$ is the cosmic time and $p\geq 0$. Our main…

High Energy Physics - Theory · Physics 2009-10-22 A. L. Larsen , Minos Axenides

The brittle fragmentation of spheres is studied numerically by a 3D Discrete Element Model. Large scale computer simulations are performed with models that consist of agglomerates of many spherical particles, interconnected by beam-truss…

Materials Science · Physics 2015-09-04 Falk K. Wittel , Humberto A. Carmona , Ferenc Kun , Hans J. Herrmann

We review the general features of nonsingular universes ({\em i.e.} those that go from an era of accelerated collapse to an expanding era without displaying a singularity) as well as cyclic universes. We discuss the mechanisms behind the…

Astrophysics · Physics 2008-12-18 M. Novello , S. E. Perez Bergliaffa

The evolution of the luminosity distance in a contracting universe is studied. It is shown that for quite a lot of natural dynamical evolutions, its behavior is far from trivial and its value can even decrease with an increasing time…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Aurélien Barrau , Killian Martineau , Flora Moulin

A complete set of Feynman rules is derived, which permits a perturbative description of the nonequilibrium dynamics of a symmetry-breaking phase transition in $\lambda\phi^4$ theory in an expanding universe. In contrast to a naive expansion…

High Energy Physics - Theory · Physics 2009-10-31 Ian D. Lawrie

In this work we present a qualitative description of the evolution of a curved universe when we consider the interacting scheme for the constituents of the dark sector. The resulting dynamics can be modeled by a set of Lotka-Volterra type…

General Relativity and Quantum Cosmology · Physics 2019-05-03 Miguel Cruz , Samuel Lepe , Gerardo Morales-Navarrete

We examine models in which the accelerated expansion of the universe is driven by a scalar field rolling near an inflection point in the potential. For the simplest such models, in which the potential is of the form V(\phi) = V_0 + V_3…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-30 Hui-Yiing Chang , Robert J. Scherrer

We examine the generation and evolution of perturbations in a universe dominated by a fluid with stiff equation of state $p=\rho$. The recently proposed Holographic Universe is an example of such a model. We compute the spectrum of scalar…

High Energy Physics - Theory · Physics 2009-11-10 Thorsten J. Battefeld , Damien A. Easson

We discuss the effect of the quantum fluctuations at high energies on the final shape of compact extra dimensions. The quantum fluctuations produce a wide range of the initial extra metrics in causally disconnected regions (pocket…

General Relativity and Quantum Cosmology · Physics 2025-02-20 Sergey G. Rubin , Julio C. Fabris

We propose a cosmological model in which the universe undergoes an endless sequence of cosmic epochs each beginning with a `bang' and ending in a `crunch.' The temperature and density are finite at each transition from crunch to bang.…

High Energy Physics - Theory · Physics 2009-11-07 Paul J. Steinhardt , Neil Turok