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The 1965 Penrose singularity theorem demonstrates the utterly inevitable and unavoidable formation of spacetime singularities under physically reasonable assumptions, and it remains one of the main results in our understanding of black…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

We study collisions of many point-like particles in three-dimensional anti-de Sitter space, generalizing the known result with two particles. We show how to construct exact solutions corresponding to the formation of either a black hole or…

General Relativity and Quantum Cosmology · Physics 2016-11-24 E. J. Lindgren

The Penrose inequality estimates the lower bound of the mass of a black hole in terms of the area of its horizon. This bound is relatively loose for extremal or near extremal black holes. We propose a new Penrose-like inequality for static…

General Relativity and Quantum Cosmology · Physics 2022-10-21 H. Khodabakhshi , H. Lu , Run-Qiu Yang

The classical Penrose inequality, a relation between the ADM mass and the area of any cross section of the black hole event horizon, was introduced as a test of the weak cosmic censorship conjecture: if it fails, the trapped surface is not…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Eduardo Hafemann , Eleni-Alexandra Kontou

We re-examine the possibility that astrophysical jet collimation may arise from the geometry of rotating black holes and the presence of high-energy particles resulting from a Penrose process, without the help of magnetic fields. Our…

General Relativity and Quantum Cosmology · Physics 2023-01-18 J. Gariel , M. A. H. MacCallum , G. Marcilhacy , N. O. Santos

The Penrose inequality has so far been proven in cases of spherical symmetry and in cases of zero extrinsic curvature. The next simplest case worth exploring would be non-spherical, non-rotating black holes with non-zero extrinsic…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Benjamin K. Tippett

We show that it is possible to embed the 1+1 dimensional reduction of certain spherically symmetric black hole spacetimes into 2+1 Minkowski space. The spacetimes of interest (Schwarzschild de-Sitter, Schwarzschild anti de-Sitter, and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 John T. Giblin , Donald Marolf , Robert H. Garvey

Using the synchronous coordinates, the creation of a Schwarzschild black hole immersed in a de Sitter spacetime can be viewed as a coherent creation of a collection of timelike geodesics. The previously supposed conical singularities do not…

General Relativity and Quantum Cosmology · Physics 2017-10-06 Zhong Chao Wu

The stability of thin shell wormholes and black holes to linearized spherically symmetric perturbations about a static equilibrium is analyzed. Thin shell formalism is explored and junctions formed from combinations of Schwarzschild,…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Travis Seth Rippentrop , Avijit Bera , Mustapha Ishak

We discuss the macroscopic quantum tunneling from the black hole to the white hole of the same mass. Previous calculations in Ref.[1] demonstrated that the probability of the tunneling is $p \propto \exp(-2S_\text{BH})$, where $S_\text{BH}$…

General Physics · Physics 2021-07-23 G. E. Volovik

The fate of matter forming a black hole is still an open problem, although models of quantum gravity corrected black holes are available. In loop quantum gravity (LQG) models were presented, which resolve the classical singularity in the…

General Relativity and Quantum Cosmology · Physics 2021-08-17 Johannes Münch

How do regular black holes evade the Penrose singularity theorem? Various models of stationary regular black holes globally satisfy the null convergence condition (NCC). At first glance this might seem puzzling, as the NCC must generically…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Johanna Borissova , 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

An approach to black hole quantization is proposed wherein it is assumed that quantum coherence is preserved. A consequence of this is that the Penrose diagram describing gravitational collapse will show the same topological structure as…

General Relativity and Quantum Cosmology · Physics 2010-04-06 C. R. Stephens , G. 't Hooft , B. F. Whiting

Our current picture of black hole gravitational collapse relies on two assumptions: i) the resulting singularity is hidden behind an event horizon -- weak cosmic censorship conjecture -- and ii) spacetime eventually settles down to a…

General Relativity and Quantum Cosmology · Physics 2009-11-13 J. L. Jaramillo , N. Vasset , M. Ansorg

In this paper, we explore the conformal structure of singularities arising from varying fundamental constants using the method of Penrose diagrams. We employ a specific type of bimetric model featuring two different metrics. One metric…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Konrad Marosek , Adam Balcerzak

Null shells are a useful geometric construction to study the propagation of infinitesimally thin concentrations of massless particles or impulsive waves. In this paper, we determine and study the necessary and sufficient conditions for the…

General Relativity and Quantum Cosmology · Physics 2021-08-11 M. Manzano , M. Mars

This article presents a new model-independent constraint for bouncing black hole geometries. Using the thin shell formalism, this constraint sets a bound on the minimal allowed radius of the time-like surface of the collapsing star at the…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Jibril Ben Achour , Suddhasattwa Brahma , Shinji Mukohyama , Jean-Philippe Uzan

The Penrose limit connects a plane wave geometry to the photon ring of a black hole, where the quasi-normal modes are located in the eikonal limit. Utilizing this simplification, we analytically extract the quadratic-level non-linearities…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Alex Kehagias , Davide Perrone , Antonio Riotto

In a paper \cite{P} in 1973, R. Penrose made a physical argument that the total mass of a spacetime which contains black holes with event horizons of total area $A$ should be at least $\sqrt{A/16\pi}$. An important special case of this…

Differential Geometry · Mathematics 2007-05-23 Hubert L. Bray