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By applying Birkhoff's theorem to the problem of the general relativistic collapse of a uniform density dust, we directly show that the density of the dust $\rho=0$ even when its proper number density $n$ would be assumed to be finite! The…

General Physics · Physics 2011-05-02 Abhas Mitra

In this work we contrast the behaviour of two spherically symmetric matter models in a class of spherically symmetric spacetimes which feature a weak null singularity. This class in particular contains spherically symmetric perturbations of…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Raya V. Mancheva

A study is undertaken of the gravitational collapse of spherically symmetric thick shells admitting a homothetic Killing vector field under the assumption that the energy momentum tensor corresponds to the absence of a pure outgoing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Brien C. Nolan

The formation of naked singularities in $2+1-$ dimensional power - law spacetimes in linear Einstein-Maxwell and Einstein-scalar theories sourced by azimuthally symmetric electric field and a self-interacting real scalar field respectively,…

General Physics · Physics 2015-07-08 O. Gurtug , M. Halilsoy , S. Habib Mazharimousavi

The classical singularity theorems of General Relativity rely on energy conditions that are easily violated by quantum fields. Here, we provide motivation for an energy condition obeyed in semiclassical gravity: the smeared null energy…

General Relativity and Quantum Cosmology · Physics 2021-10-25 Eleni-Alexandra Kontou , Ben Freivogel , Dimitrios Krommydas

We investigate here the locally naked singularity formed due to a spherically symmetric inhomogeneous collapsing cloud having non-zero isotropic pressure, in terms of its strength. Sufficient condition provided by Clarke and Krolak for it…

General Relativity and Quantum Cosmology · Physics 2020-03-04 Karim Mosani , Dipanjan Dey , Pankaj S. Joshi

The complete spectrum of the endstates - naked singularities, or blackholes - of gravitational collapse is analyzed for a wide class of $N$-dimensional spacetimes in spherical symmetry, which includes and generalizes the dust solutions and…

General Relativity and Quantum Cosmology · Physics 2010-03-24 Roberto Giambó , Sara Quintavalle

Spherically symmetric inhomogeneous dust collapse has been studied in higher dimensional space-time and the factors responsible for the appearance of a naked singularity are analyzed in the region close to the centre for the marginally…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Asit Banerjee , Ujjal Debnath , Subenoy Chakraborty

The Janis-Newman-Winicour (JNW) spacetime possesses a naked singularity, although it represents an exact particle-like solution to the Einstein-Klein-Gordon theory with a massless scalar field. Here, we investigate the possible formation of…

General Relativity and Quantum Cosmology · Physics 2024-08-07 Xiao Yan Chew , Il Gyeong Choi , Hyuk Jung Kim , Dong-han Yeom

Gravitational collapse is one of the most striking phenomena in gravitational physics. The cosmic censorship conjecture has provided strong motivation for researches in this field. In the absence of general proof for the censorship, many…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Tomohiro Harada

We investigate collapse of a spherical cloud of counter-rotating particles. An explicit solution is given using an elliptic integral. If the specific angular momentum $L(r)=O(r^2)$ at $r\to 0$, no central singularity occurs. With $L(r)$…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Tomohiro Harada , Hideo Iguchi , Ken-ichi Nakao

We numerically investigate the gravitational collapse of collisionless particles in spheroidal configurations both in four and five-dimensional (5D) space-time. We repeat the simulation performed by Shapiro and Teukolsky (1991) that…

General Relativity and Quantum Cosmology · Physics 2011-03-21 Yuta Yamada , Hisa-aki Shinkai

If an evaporating black hole does not settle down to a non radiating remnant, a description by a semi classical Lorentz metric must contain either a naked singularity or what we call a thunderbolt, a singularity that spreads out to infinity…

High Energy Physics - Theory · Physics 2010-11-01 S. W. Hawking , J. M. Stewart

Nearly every galactic core contains a supermassive compact object, hypothesized to be a Kerr black hole. It was only with the advent of Event Horizon Telescope observations that the predictions of this hypothesis could be observationally…

High Energy Astrophysical Phenomena · Physics 2025-10-14 Tomasz Krajewski , Włodek Kluźniak

There is a viable vector-tensor gravity (VTG) theory, whose vector field produces repulsive forces leading to important effects. In the background universe, the effect of these forces is an accelerated expansion identical to that produced…

General Relativity and Quantum Cosmology · Physics 2020-12-01 R. Dale , D. Sáez

A Vaidya spacetime is considered for gravitational collapse of a type II fluid in the context of Rastall theory of gravity. For a linear equation of state (EoS) for the fluid profiles, the conditions under which the dynamical evolution of…

General Relativity and Quantum Cosmology · Physics 2020-09-11 Amir H. Ziaie , Yaser Tavakoli

Of the various energy conditions which can be assumed when studying mathematical general relativity, intuitively the simplest is the weak energy condition $\mu\geq 0$ which simply states that the observed mass-energy density must be…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Jaroslaw S. Jaracz

The cosmological constant induced by quantum fluctuation of the graviton on a given background is considered as a tool for building a spectrum of different geometries. In particular, we apply the method to the Schwarzschild background with…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Remo Garattini

We provide a covariant framework to study singularity-free Lema\^itre-Tolman-Bondi spacetimes with effective corrections motivated by loop quantum gravity. We show that, as in general relativity, physically reasonable energy distributions…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Asier Alonso-Bardaji , David Brizuela

We show that the only Tolman models which permit a Vaidya limit are those having a dust distribution that is hollow - such as the self-similar case. Thus the naked shell-focussing singularities found in Tolman models that are dense through…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Charles Hellaby
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