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This is a review of recent progress concerning generic spacelike singularities in general relativity. For brevity the main focus is on singularities in vacuum spacetimes, although the connection with, and the role of, matter for generic…

General Relativity and Quantum Cosmology · Physics 2013-08-28 Claes Uggla

The existence and nature of singularities in locally spatially homogeneous solutions of the Einstein equations coupled to various phenomenological matter models is investigated. It is shown that, under certain reasonable assumptions on the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Alan D. Rendall

Dynamical systems methods are used to investigate a cosmological model with non-minimally coupled scalar field and asymptotically quadratic potential function. We found that for values of the non-minimal coupling constant parameter…

General Relativity and Quantum Cosmology · Physics 2021-07-15 Orest Hrycyna

We investigate self-similar scalar field solutions to the Einstein equations in whole cylinder symmetry. Imposing self-similarity on the spacetime gives rise to a set of single variable functions describing the metric. Furthermore, it is…

General Relativity and Quantum Cosmology · Physics 2015-06-30 Eoin Condron , Brien C. Nolan

The spatially homogeneous, isotropic Standard Cosmological Model appears to describe our Universe reasonably well. However, Einstein's equations allow a much larger class of cosmological solutions. Theorems originally due to Penrose and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. K. Berger , D. Garfinkle , V. Moncrief

We study the possibility that a generalised real scalar field minimally coupled to gravity could explain both the galactic and the cosmological dark components of the universe. Within the framework of Einstein's Relativity we model static…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alberto Diez-Tejedor , Alexander Feinstein

Domain wall networks have attracted renewed interest, particularly in relation to the dynamics of network collapse. Accurately describing this process is challenging and typically requires large scale numerical simulations. Here we adopt a…

In this work, we have investigated the outcome of gravitational collapse in Husain space-time in the presence of electro-magnetic and a scalar field with potential. In order to study the nature of the singularity, global behavior of radial…

General Relativity and Quantum Cosmology · Physics 2012-03-12 Ujjal Debnath , Prabir Rudra , Ritabrata Biswas

We will describe here the structure of singularity forming in gravitational collapse of spherically symmetric inhomogeneous dust. Such a collapse is described by the Tolman-Bondi-Lema{\^i}tre metric. The main new result here relates, in a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Jhingan

We study the space-time geometry generated by coupling a free scalar field with a non-canonical kinetic term to General Relativity in $(2+1)$ dimensions. After identifying a family of scalar Lagrangians that yield exact analytical solutions…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Roberto V. Maluf , Gerardo Mora-Pérez , Gonzalo J. Olmo , Diego Rubiera-Garcia

In stationary spacetimes global equilibrium states can be defined, applying the maximum entropy principle, by the introduction of local thermodynamic fields determined solely by geometry. As an example, we study a class of equilibrium…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Rodolfo Panerai

A simple model for a scalar field and gravity admits homogeneous isotropic cosmological solutions which cross the Big Bang singularity. In the scaling frame with field dependent effective Planck mass these solutions are regular. They become…

General Relativity and Quantum Cosmology · Physics 2021-07-27 C. Wetterich

We study the spherically symmetric collapse of a real, minimally coupled, massive scalar field in an asymptotically Einstein-de Sitter spacetime background. By means of an eikonal approximation for the field and metric functions, we obtain…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio M. C. V. Goncalves

The dynamic status of scalar fields is studied in the Hamiltonian approach to the General Relativity. We show that the conformal coupling of the scalar field violates the standard geometrical structure of the Einstein equations in GR and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. A. Glinka , V. N. Pervushin , R. P. Kostecki

We give an exact spherically symmetric solution for the Einstein-scalar field system. The solution may be interpreted as an inhomogeneous dynamical scalar field cosmology. The spacetime has a timelike conformal Killing vector field and is…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Viqar Husain , Erik A. Martinez , Dario Nunez

We explore numerically the evolution of a collapsing spherical shell of charged, massless scalar field. We obtain an external \RN space-time, and an inner space-time that is bounded by a singularity on the Cauchy Horizon. We compare these…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yonatan Oren , Tsvi Piran

To systematically analyze the dynamical implications of the matter content in cosmology, we generalize earlier dynamical systems approaches so that perfect fluids with a general barotropic equation of state can be treated. We focus on…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Mark Heinzle , N. Rohr , C. Uggla

The gravitational collapse of a wide class of self-interacting homogeneous scalar fields models is analyzed. The class is characterized by certain general conditions on the scalar field potential, which, in particular, include both…

General Relativity and Quantum Cosmology · Physics 2010-03-24 R. Giambó , F. Giannoni , G. Magli

Investigating the dynamics of gravitational systems, especially in the regime of quantum gravity, poses a problem of measuring time during the evolution. One of the approaches to this issue is using one of the internal degrees of freedom as…

General Relativity and Quantum Cosmology · Physics 2016-06-06 Anna Nakonieczna , Dong-han Yeom

Considering gravitational collapse of matter, it is important problem to clarify what kind of conditions leads to the formation of naked singularity. For this purpose, we apply the 1+3 orthonormal frame formalism introduced by Uggla…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Hayato Kawakami , Eiji Mitsuda , Yasusada Nambu , Akira Tomimatsu
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