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Conditions under which gravity coupled to self interacting scalar field determines singularity formation are found and discussed. It is shown that, under a suitable matching with an external space, the boundary, if collapses completely, may…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Roberto Giambó

Examining the relativistic collapse of a spherical spacetime where gravity is coupled with a scalar field, this review provides a thorough analysis of some of the most relevant studies from both analytical and numerical perspectives. The…

General Relativity and Quantum Cosmology · Physics 2024-05-09 Roberto Giambò

We study here the evolution of a massless scalar field in a spacetime, developing from a regular initial spacelike surface. The Einstein equations and regularity and boundary conditions governing the same are specified. Both homogeneous and…

General Relativity and Quantum Cosmology · Physics 2009-12-13 Swastik Bhattacharya , Rituparno Goswami , Pankaj S. Joshi

We describe a non-perturbative approach to studying the gravitational collapse of a scalar field in spherical symmetry with quantum gravity corrections. Quantum effects are described by a phase space function that modifies the constraints…

General Relativity and Quantum Cosmology · Physics 2011-09-15 Andreas Kreienbuehl , Viqar Husain , Sanjeev S. Seahra

Using a scalar field as an intrinsic 'clock' while investigating the dynamics of gravitational systems has been successfully pursued in various researches on the border between classical and quantum gravity. The objective of our research…

General Relativity and Quantum Cosmology · Physics 2015-09-25 Anna Nakonieczna , Jerzy Lewandowski

Gravitational collapse into a black hole has been extensively studied with classical sources. We develop a new formalism to simulate quantum fields forming a black hole. This formalism utilizes well-established techniques used for classical…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Benjamin Berczi , Paul M. Saffin , Shuang-Yong Zhou

Numerical simulations are performed of the gravitational collapse of a scalar field with a \lambda \phi^4 potential. Comparisons are made with the thin shell approximation.

General Relativity and Quantum Cosmology · Physics 2015-06-03 David Garfinkle , Ryan Zbikowski

The study of dynamic singularity formation in spacetime, focusing on scalar field collapse models, is analysed. We revisit key findings regarding open spatial topologies, concentrating on minimal conditions necessary for singularity and…

General Relativity and Quantum Cosmology · Physics 2024-05-10 Dario Corona , Roberto Giambò

We consider a "Scalar-Einstein-Gauss-Bonnet" theory in four dimension, where the scalar field couples non minimally with the Gauss-Bonnet (GB) term. This coupling with the scalar field ensures the non topological character of the GB term.…

High Energy Physics - Theory · Physics 2018-04-04 Narayan Banerjee , Tanmoy Paul

The formation of black holes or naked singularities is studied in a model in which a homogeneous time-dependent scalar field with an exponential potential couples to four dimensional gravity with negative cosmological constant. An analytic…

General Relativity and Quantum Cosmology · Physics 2015-06-10 R. Baier , Hiromichi Nishimura , S. A. Stricker

Critical collapse of a massless scalar field in spherical symmetry is systematically studied. We combine numerical simulations and asymptotic analysis, and synthesize critical collapse, spacetime singularities, and complex science. First…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Jun-Qi Guo , Hongsheng Zhang

The collapse scenario of a scalar field along with a perfect fluid distribution is investigated for a conformally flat spacetime. The theorem for the integrability of an anharmonic oscillator has been utilized. For a pure power law…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Soumya Chakrabarti , Narayan Banerjee

A spherically symmetric collapsing scalar field model is discussed with a dissipative fluid which includes a heat flux. This vastly general matter distribution is analyzed at the expense of a high degree of symmetry in the space-time, that…

General Relativity and Quantum Cosmology · Physics 2017-01-17 Narayan Banerjee , Soumya Chakrabarti

We present a new formalism for numerically treating the semiclassical gravitational collapse of a scalar quantum field in the radially symmetric case. Our formalism is time reversal invariant and the evolution of the scalar fields is…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Jana N. Guenther , Christian Hoelbling , Lukas Varnhorst

We explore a collapsing cosmology driven by a scalar field which is minimally coupled to gravity in a spatially at and spherically symmetric, isotropic and homogeneous space-time, with a variable timescale that avoids the final singularity.…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Jaime M. Hernandez , Mauricio Bellini , Claudia Moreno

A massless scalar field minimally coupled to the gravitational field in a simplified spherical symmetry is discussed. It is shown that, in this case, the solution found by Roberts, describing a scalar field collapse, is in fact the most…

General Relativity and Quantum Cosmology · Physics 2009-10-28 H. P. de Oliveira , E. S. Cheb-Terrab , DFT-UERJ , Brazil

Possibilities emerging out of the dynamical evolutions of collapsing systems are addressed in this thesis through analytical investigations of the highly non-linear Einstein Field Equations. Studies of exact solutions and their properties,…

General Relativity and Quantum Cosmology · Physics 2017-09-07 Soumya Chakrabarti

We elaborated the gravitational collapse of a self-gravitating complex charged scalar field in the context of the low-energy limit of the string theory, the so-called dilaton gravity. We begin with the regular spacetime and follow the…

High Energy Physics - Theory · Physics 2011-11-10 Anna Borkowska , Marek Rogatko , Rafal Moderski

We describe a formalism for studying spherically symmetric collapse of the massless scalar field in any spacetime dimension, and for any value of the cosmological constant $\Lambda$. The formalism is used for numerical simulations of…

General Relativity and Quantum Cosmology · Physics 2017-08-23 V. Husain , G. Kunstatter , B. Preston , M. Birukou

One of the fundamental unanswered questions in the general theory of relativity is whether ``naked'' singularities, that is singular events which are visible from infinity, may form with positive probability in the process of gravitational…

Analysis of PDEs · Mathematics 2016-09-07 Demetrios Christodoulou
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