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It is now known that when a massive star collapses under the force of its own gravity, the final fate of such a continual gravitational collapse will be either a black hole or a naked singularity under a wide variety of physically…

General Relativity and Quantum Cosmology · Physics 2012-04-20 Pankaj S. Joshi , Daniele Malafarina

A paradigm deeply rooted in modern numerical relativity calculations prescribes the removal of those regions of the computational domain where a physical singularity may develop. We here challenge this paradigm by performing…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Luca Baiotti , Luciano Rezzolla

Over the past three decades, black holes have played an important role in quantum gravity, mathematical physics, numerical relativity and gravitational wave phenomenology. However, conceptual settings and mathematical models used to discuss…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Abhay Ashtekar , Badri Krishnan

The article summarizes the observational evidence for the existence of massive black holes, as well as the current knowledge about their abundance, their mass and spin distributions, and their cosmic evolution within and together with their…

Astrophysics of Galaxies · Physics 2014-11-03 Reinhard Genzel

Recent results show that important singularities in General Relativity can be naturally described in terms of finite and invariant canonical geometric objects. Consequently, one can write field equations which are equivalent to Einstein's…

General Relativity and Quantum Cosmology · Physics 2014-03-06 Ovidiu Cristinel Stoica

We consider a simple physical model for an evolving horizon that is strongly interacting with its environment, exchanging arbitrarily large quantities of matter with its environment in the form of both infalling material and outgoing…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alex B. Nielsen , Matt Visser

In the de Sitter-invariant approach to gravitation, all solutions to the gravitational field equations are spacetimes that reduce locally to de Sitter. Consequently, besides including an event horizon, the de Sitter-invariant black hole…

General Relativity and Quantum Cosmology · Physics 2025-09-10 D. F. López , S. Abarghouei Nejad , José G. Pereira

Dynamical black-hole scenarios have been developed in loop quantum gravity in various ways, combining results from mini and midisuperspace models. In the past, the underlying geometry of space-time has often been expressed in terms of line…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Martin Bojowald

We investigate the time evolution due to gravitational dynamics of a particular spacetime commonly used in brane-cosmology and string compactifications, namely the Klebanov-Strassler geometry, which is achieved by adding a perturbation to…

High Energy Physics - Theory · Physics 2014-11-20 Neil A. Butcher , Paul M. Saffin

In gravitational collapse leading to black hole formation, trapping horizons typically develop inside the contracting matter. Classically, an ingoing trapping horizon moves towards the centre where it reaches a curvature singularity, while…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Pierre Binétruy , Alexis Helou , Frédéric Lamy

The topological structure of the event horizon has been investigated in terms of the Morse theory. The elementary process of topological evolution can be understood as a handle attachment. It has been found that there are certain…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daisuke Ida , Masaru Siino

The expectation-value equations for the collapse of a macroscopic, spherically symmetric, and uncharged body are integrated up to the limit of validity of semiclassical theory. The collapse finishes with a true stable black hole of the mass…

High Energy Physics - Theory · Physics 2008-11-26 G. A. Vilkovisky

While the outcome of gravitational collapse in classical general relativity is unquestionably a black hole, up to now no full and complete semiclassical description of black hole formation has been thoroughly investigated. Here we revisit…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos Barcelo , Stefano Liberati , Sebastiano Sonego , Matt Visser

We define a family of spacetimes representing isolated black holes exhibiting remarkable universal properties which are natural generalizations from stationary spacetimes. They admit a well defined notion of surface gravity k_H. This…

General Relativity and Quantum Cosmology · Physics 2017-05-12 Carlos Kozameh , Osvaldo Moreschi , Alejandro Perez

We introduce a family of solutions of Einstein's gravity minimally coupled to an anisotropic fluid, describing asymptotically flat black holes with "hair" and a regular horizon. These spacetimes can describe the geometry of galaxies…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Vitor Cardoso , Kyriakos Destounis , Francisco Duque , Rodrigo Panosso Macedo , Andrea Maselli

Penrose's singularity theorem implies that if a trapped region forms in a gravitational collapse, then a singularity must form as well within such region. However, it is widely expected that singularities should be generically avoided by…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

This paper considers a wider range of "quasi-classical" models for the non-singular transition from an evaporating black hole to a white hole and the evolution of the white hole than were considered in Paper I. The quantum evolution of the…

General Relativity and Quantum Cosmology · Physics 2020-07-02 James M. Bardeen

The occurrence of a spacetime singularity indicates the breakdown of Einstein gravitation theory in these extreme regimes. We consider here the singularity issue and various black hole paradoxes at classical and quantum levels. It is…

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

The gravitational collapse of massive stars serves to manifest the most severe deviations of general relativity with respect to Newtonian gravity: the formation of horizons and spacetime singularities. Both features have proven to be…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

A simple, geometrical construction is given for three-dimensional spacetimes with negative cosmological constant that contain two particles colliding head-on. Depending on parameters like particle masses and distance, the combined geometry…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Dieter Brill , Puneet Khetarpal , Vijay Kaul