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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

Black-hole uniqueness, i.e., the statement that all stationary vacuum black holes in the universe are described by the Kerr solution, is expected to break in theories beyond General Relativity. This breaking can take a particularly strong…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Astrid Eichhorn , Pedro G. S. Fernandes , Lidia Marino

We construct an example of a spherically symmetric black hole interior in which there is NO (spherically symmetric) marginally trapped tube asymptotic to the event horizon. The construction uses a self-gravitating massive scalar field…

General Relativity and Quantum Cosmology · Physics 2010-06-01 Catherine Williams

A critique of the singularity theorems of Penrose, Hawking, and Geroch is given. It is pointed out that a gravitationally collapsing black hole acts as an ultrahigh energy particle accelerator that can accelerate particles to energies…

General Physics · Physics 2008-06-24 R. K. Thakur

At the 20-th Texas Symposium on Relativistic Astrophysics there was a plenary talk devoted to the recent developments in classical Relativity. In that talk the problems of gravitational collapse, collisions of black holes, and of black…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Igor D. Novikov

We construct a new class of plane-symmetric solutions possessing a curvature singularity which is null and weak, like the spacetime singularity at the Cauchy horizon of spinning (or charged) black holes. We then analyse the stability of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Amos Ori

A spherically symmetric black hole solution defined by the gravitational mass is explored in higher-order curvature gravity associated with a scalar field. It is demonstrated that the singularities of the curvature invariants will be far…

General Relativity and Quantum Cosmology · Physics 2025-09-04 G. G. L. Nashed , Usman Zafar , Kazuharu Bamba

Black hole spacetimes that exhibit integrable singularities have gained considerable interest as alternatives to both regular and singular black holes. Unlike most known regular black hole solutions, these models evade the formation of an…

General Relativity and Quantum Cosmology · Physics 2025-08-15 Julio Arrechea , Stefano Liberati , Hooman Neshat , Vania Vellucci

An analytical model that represents the collapse of a massless scalar wave packet with continuous self-similarity is constructed, and critical phenomena are found. In the supercritical case, the mass of black holes is finite and has the…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Anzhong Wang , Henrique P. de Oliveira

While singularities are inevitable in the classical theory of general relativity, it is commonly believed that they will not be present when quantum gravity effects are taken into account in a consistent framework. In particular, the…

General Relativity and Quantum Cosmology · Physics 2018-12-12 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

Born-Infeld black holes in the Scalar-Tensor Theories of Gravity, in the case of massless scalar field, have been recently obtained. The aim of the current paper is to study the effect from the inclusion of a potential for the scalar field…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Ivan Zh. Stefanov , Daniela A. Georgieva , Stoytcho S. Yazadjiev , Michail D. Todorov

The cosmological black holes are black holes living not in an asymptotically flat universe but in an expanding spacetime. They have a rich dynamics in particular for their mass and horizon. In this article we perform a natural step in…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Rahim Moradi , Clément Stahl , Javad T. Firouzjaee , She-Sheng Xue

We study the gravitational collapse of an inhomogeneous scalar field with quantum gravity corrections associated with singularity avoidance. Numerical simulations indicate that there is critical behaviour at the onset of black hole…

General Relativity and Quantum Cosmology · Physics 2009-06-30 Viqar Husain

We consider black holes in an "unsuitable box": a finite cavity coupled to a thermal reservoir at a temperature different than the black hole's Hawking temperature. These black holes are described by metrics that are continuous but not…

General Relativity and Quantum Cosmology · Physics 2013-06-18 Daniel Grumiller , Robert McNees , Simone Zonetti

The Teukolsky equation describing scattering from Kerr black holes captures a few important effects in the process of binary mergers, such as tidal deformations and the decay of ringdown modes, thereby raising interest in the structure of…

High Energy Physics - Theory · Physics 2024-11-18 Uri Kol

Electro-vacuum black holes are scale-invariant; their energy-momentum tensor is traceless. Quantum corrections of various sorts, however, can often produce a trace anomaly and a breakdown of scale-invariance. The (quantum-corrected) black…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Carlos A. R. Herdeiro , Eugen Radu

We show that the notion of a black hole mass could be superceded by that of a topological charge in a spacetime without matter and curvature singularity. This feature emerges through a set new spacetime solutions of first order gravity in…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Sandipan Sengupta

As first discovered by Choptuik, the black hole threshold in the space of initial data for general relativity shows both surprising structure and surprising simplicity. Universality, power-law scaling of the black hole mass, and scale…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Carsten Gundlach , Jose M. Martin-Garcia

Homothetic scalar field collapse is considered in this article. By making a suitable choice of variables the equations are reduced to an autonomous system. Then using a combination of numerical and analytic techniques it is shown that there…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Patrick R Brady

We construct here a class of collapsing scalar field models with a non-zero potential, which result in a naked singularity as collapse end state. The weak energy condition is satisfied by the collapsing configuration. It is shown that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rituparno Goswami , Pankaj S Joshi