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We investigate here gravitational collapse of a perfect fluid with a linear isentropic equation of state $p = k \rho$. A class of collapse models is given which is a family of solutions to Einstein equations and the final fate of collapse…

General Relativity and Quantum Cosmology · Physics 2015-02-24 Sanjay Sarwe , R. V. Saraykar , Pankaj S. Joshi

It is often assumed that the only effect of the Ghirardi-Rimini-Weber (`GRW') dynamical collapse mechanism on the `tails' of the wavefunction (that is, the components of superpositions on which the collapse is \emph{not} centred) is to…

Quantum Physics · Physics 2022-04-22 David Wallace

Gravitational collapse of matter in the presence of rotation is a mostly unexplored topic but it might have important implications for cosmic censorship. Recently a convenient setup was identified to address this problem, by considering…

General Relativity and Quantum Cosmology · Physics 2015-04-14 Jorge V. Rocha

A problem about the present structure of dimensional analysis, and another one about the differences between solids and fluids are suggested. Both problems appear to have certain foundational aspects.

General Physics · Physics 2007-05-23 E. E. Rosinger

We review here some recent developments on the issue of final fate of gravitational collapse within the framework of Einstein theory of gravity. The structure of collapsed object is discussed in terms of either a black hole or a singularity…

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

A simple description of the vacuum energy (cosmological constant) problem for non-experts is presented. Basic features of cosmology with non-zero vacuum energy are discussed. The astronomical data which indicate that the universe is filled…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. D. Dolgov

This report continues recent Peebles-Turner debate "Is cosmology solved?" and considers the first results for Sandage's program for "Practical cosmology". A review of conceptual problems of modern cosmological models is given, among them:…

Astrophysics · Physics 2009-10-31 Yurij V. Baryshev

The floating structure problem describes the interaction between surface water waves and a floating body, generally a boat or a wave energy converter. As shown by Lannes in [18] the equations for the fluid motion can be reduced to a set of…

Analysis of PDEs · Mathematics 2019-10-22 Edoardo Bocchi

The study of protostellar collapse or infall has proven unusually difficult and controversial. Some historical context will be provided, against which recent advances can be measured. We now have a substantial number of objects with…

Astrophysics · Physics 2007-05-23 N. J. Evans

The purpose of this manuscript is to review my recent activity on three main research topics. The first concerns the nature of low temperature amorphous solids and their relation with the spin glass transition in a magnetic field. This is…

Disordered Systems and Neural Networks · Physics 2024-05-13 Pierfrancesco Urbani

Lecture 1 provides an introduction to dynamical electroweak symmetry breaking. Lectures 2 and 3 give an introduction to compositeness, with emphasis on effective lagrangians, power-counting, and the 't Hooft anomaly-matching conditions.

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Sekhar Chivukula

Following the scheme developed by Misner and Sharp, we discuss the dynamics of gravitational collapse. For this purpose, an interior cylindrically symmetric spacetime is matched to an exterior charged static cylindrically symmetric…

General Relativity and Quantum Cosmology · Physics 2011-02-11 M. Sharif , Sundas Fatima

Much of astrophysics consists of the study of ionised gas under the influence of gravitational and magnetic fields. Thus, it is not possible to understand the astrophysical universe without a detailed knowledge of the dynamics of magnetised…

High Energy Astrophysical Phenomena · Physics 2016-05-25 Steven A. Balbus , WIlliam J. Potter

This thesis employs the dynamical systems approach to explore two cosmological models: an anisotropic dark energy scenario in a Bianchi-I background and the Generalized SU(2) Proca (GSU2P) theory in a flat FLRW background. In the first…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Santiago García-Serna

The Misner and Sharp approach to the study of gravitational collapse is extended to the dissipative case in, both, the streaming out and the diffusion approximations. The role of different terms in the dynamical equation are analyzed in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. Herrera , N. O. Santos

In this paper we continue to investigate the energy conservation equation obtained in our previous work. We set ourselves three new goals. The first one is to rewrite the main equations in terms of density profile in order to give more…

Astrophysics of Galaxies · Physics 2019-03-27 Sava Donkov , Ivan Zh. Stefanov

This paper studies the main features of the dynamics around a massive annular disk. The first part addresses the difficulties finding an appropriated expression of the gravitational potential of a massive disk, which will be used to define…

Dynamical Systems · Mathematics 2024-01-26 Eva Tresaco , Antonio Elipe , Andrés Riaguas

The case for collapsed objects in some X-ray binary systems continues to strengthen. But there is now even firmer evidence for supermassive black holes in galactic centres. Gravitational collapse seems to have occurred in the centres of…

Astrophysics · Physics 2008-02-03 Martin J. Rees

We present counter-intuitive examples of a viscous regularizations of a two-dimensional strictly hyperbolic system of conservation laws. The regularizations are obtained using two different viscosity matrices. While for both of the…

Numerical Analysis · Mathematics 2024-05-08 Shaoshuai Chu , Igor Kliakhandler , Alexander Kurganov

It is now a well established fact based on several observations that we live in a Universe dominated by dark energy. The most natural candidates for dark energy are fields in curved space-time. We develop the formalism to study the…

High Energy Physics - Phenomenology · Physics 2010-07-30 Anupam Singh
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