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It is known now that a typical gravitational collapse in general relativity, evolving from regular initial data and under physically reasonable conditions would end in either a black hole or a naked singularity final state. An important…

General Relativity and Quantum Cosmology · Physics 2011-06-21 Daniele Malafarina , Pankaj S. Joshi

General Relativity provides us with some solutions for rotating black holes. However, there are some problems associated with them: the appearance of singularities, the possibility of violations of the cosmic censorship conjecture, the…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Ramon Torres

We discuss cosmological models for an eternal universe. Physical observables show no singularity from the infinite past to the infinite future. While the universe is evolving, there is no beginning and no end - the universe exists forever.…

General Relativity and Quantum Cosmology · Physics 2014-08-27 C. Wetterich

One way to understand more about spacetime singularities is to construct solutions of the Einstein equations containing singularities with prescribed properties. The heuristic ideas of the BKL picture suggest that oscillatory singularities…

General Relativity and Quantum Cosmology · Physics 2012-12-24 Alan D. Rendall

Cosmic censorship conjecture takes a pivotal status in general relativity. We demonstrate that quantum effects, Hawking effect together with Shwinger effect inevitably lead to violation of cosmic censorship. We find that naked singularity…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Yang Huang , Hongsheng Zhang

Space-time singularities, viz. Big bang, Big crunch and black holes have been shown to follow from the singularity theorems of General relativity. Whether the entropy at such infinite proper-time objects can be other than zero has also been…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Akinbo Ojo

The essential singularity in Einstein's gravity can be avoidable if the preconditions of Penrose's theorem can be bypassed, i.e., if the strong energy condition is broken in the vicinity of a black hole center. The singularity mentioned…

General Relativity and Quantum Cosmology · Physics 2023-09-07 Chen Lan , Hao Yang , Yang Guo , Yan-Gang Miao

There are many solutions to the Einstein field equations that demonstrate naked singularity (NS) formation after regular evolution. It is possible, however, that such a quantum effect as particle creation prevents NSs from forming. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Umpei Miyamoto , Hideki Maeda , Tomohiro Harada

We consider various curious features of general relativity, and relativistic field theory, in two spacetime dimensions. In particular, we discuss: the vanishing of the Einstein tensor; the failure of an initial-value formulation for vacuum…

History and Philosophy of Physics · Physics 2020-05-27 Samuel C. Fletcher , John Byron Manchak , Mike D. Schneider , James Owen Weatherall

General relativity successfully describes space-times at scales that we can observe and probe today, but it cannot be complete as a consequence of singularity theorems. For a long time there have been indications that quantum gravity will…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald

We explore the gravitational collapse of a spherically symmetric dust cloud in the Einstein-Gauss-Bonnet gravity without a cosmological constant, and obtain three families of LTB-like solutions. It is shown that the Gauss-Bonnet term has a…

General Relativity and Quantum Cosmology · Physics 2011-10-04 Kang Zhou , Zhan-Ying Yang , De-Cheng Zou , Rui-Hong Yue

The existence of black holes in the Universe is nowadays established on the grounds of a blench of astrophysical observations, most notably those of gravitational waves from binary mergers and the imaging of supermassive objects at the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Haroldo C. D. Lima Junior , Renan B. Magalhães , Gonzalo J. Olmo , Diego Rubiera-Garcia

We study the spherical gravitational collapse of a compact object under the approximation that the radial pressure is identically zero, and the tangential pressure is related to the density by a linear equation of state. It turns out that…

General Relativity and Quantum Cosmology · Physics 2009-10-30 T. P. Singh , Louis Witten

The ``cosmic censorship conjecture'' asserts that all singularities arising from gravitational collapse are hidden within black holes. We investigate this conjecture in a setup of interest for tests of General Relativity: black hole…

General Relativity and Quantum Cosmology · Physics 2015-12-09 Vitor Cardoso , Leonel Queimada

We study the occurrence of naked singularities in the spherically symmetric collapse of radiation shells in a higher dimensional spacetime. The necessary conditions for the formation of a naked singularity or a black hole are obtained. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. G. Ghosh , R. V. Saraykar

The nature of gravitational singularities has been questioned by some recent research, challenging the notion that classical determinism breaks down at these points. By allowing for dynamic changes in the orientation of spatial…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Martina Adamo , Flavio Mercati

We review uniqueness theorems as well as other general results about higher dimensional black hole spacetimes. This includes in particular theorems about the topology of higher dimensional spacetimes, theorems about their symmetries…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Stefan Hollands , Akihiro Ishibashi

The discovery of the accelerated expansion of the Universe has had a vast resonance on a number of physical disciplines. In recent years several viable modified gravity models have been proposed, which naturally lead to a late-time de…

General Relativity and Quantum Cosmology · Physics 2013-06-24 Lorenzo Reverberi

In this work, we study the issue of the past and future cosmological singularities in the context of the fourth-order conformal Weyl gravity. In particular, we investigate the emergent universe scenario proposed by Ellis {\it et al}, and…

General Relativity and Quantum Cosmology · Physics 2020-06-02 Yaghoub Heydarzade

Using a second law of complexity, we prove a black hole singularity theorem. By introducing the notion of trapped extremal surfaces, we show that their existence implies null geodesic incompleteness inside globally hyperbolic black holes.…

High Energy Physics - Theory · Physics 2025-07-31 Vyshnav Mohan
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