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We demonstrate that the Penrose inequality is valid for spherically symmetric geometries even when the horizon is immersed in matter. The matter field need not be at rest. The only restriction is that the source satisfies the weak energy…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Edward Malec , Niall Ó Murchadha

We propose that black holes are \emph{soliton-esque} objects, where gravitational collapse is balanced by quantum vacuum dispersion, modeled via \(R+\alpha R^{2}\) gravity. Classical singularities are replaced by oscillating, finite-radius…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Eren Erberk Erkul

This article gives an elementary overview of the end-state of gravitational collapse according to classical general relativity. The focus of discussion is the formation of black holes and naked singularities in various physically reasonable…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. P. Singh

We give a covariant characterisation of the Penrose plane wave limit: the plane wave profile matrix $A(u)$ is the restriction of the null geodesic deviation matrix (curvature tensor) of the original spacetime metric to the null geodesic,…

High Energy Physics - Theory · Physics 2009-11-10 Matthias Blau , Monica Borunda , Martin O'Loughlin , George Papadopoulos

Quantum gravity is treated as a stochastic quantization of the spacetime metric of general relativity. It is found that owing to the stochastic fluctuating behavior of the geometry, the singularity in gravitational collapse of a star has a…

High Energy Physics - Theory · Physics 2014-02-06 J. W. Moffat

We review here some recent developments on the issue of final fate of gravitational collapse within the framework of Einstein theory of gravity. The structure of collapsed object is discussed in terms of either a black hole or a singularity…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. S. Joshi

We study the quantum dynamics of an interior planar AdS (anti-de Sitter) black hole, requiring unitarity in the natural time coordinate conjugate to the cosmological "constant of motion" appearing in unimodular gravity. Both the classical…

High Energy Physics - Theory · Physics 2025-03-12 Steffen Gielen , Lucía Menéndez-Pidal

The existence of black holes is a central prediction of general relativity and thus serves as a basic consistency test for modified theories of gravity. In spherical symmetry, only two classes of dynamic solutions are compatible with the…

General Relativity and Quantum Cosmology · Physics 2022-03-01 Sebastian Murk

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 present a systematic study of the geometric structure of non-singular spacetimes describing black holes in Lorentz-violating gravity. We start with a review of the definition of trapping horizons, and the associated notions of trapped…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

A massive compact object is that which forms when a sufficiently massive star collapses. This is commonly taken to be a black hole with a singularity surrounded by a horizon and which evolves by emitting Hawking radiation. In a quantum…

General Relativity and Quantum Cosmology · Physics 2014-10-03 S. Kalyana Rama

The conditions are clarified under which regular (i.e., singularity-free) black holes can exist. It is shown that in a large class of spacetimes that satisfy the weak energy condition the existence of a regular black hole requires topology…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Arvind Borde

We analyse properties of general stationary and axisymmetric spacetimes, with a particular focus on circularity -- an accidental symmetry enjoyed by the Kerr metric, and therefore widely assumed when searching for rotating black hole…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Eugeny Babichev , Jacopo Mazza

While extreme black hole spacetimes with smooth horizons are known at the level of mathematics, we argue that the horizons of physical extreme black holes are effectively singular. Test particles encounter a singularity the moment they…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Donald Marolf

We prove a No-Go theorem for singularity resolution in gravitational collapse: within any analytic gravitational theory, including general relativity and all theories with polynomial actions, quantum corrections introduced solely as…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Zhen-Xiao Zhang , Chen Lan , Yan-Gang Miao

Classical general relativity predicts that a contracting, spherically symmetric matter system with a large-enough mass will result in the formation of a trapped region whose outer boundary is an apparent horizon where the gravitational…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Ram Brustein , A. J. M. Medved , Hagar Meir

We comment here on the results in Ref [4] that showed naked singularities in dynamical gravitational collapse of inhomogeneous dust to be stable but non-generic. The definition of genericity used there is reconsidered. We point out that…

General Relativity and Quantum Cosmology · Physics 2012-07-17 Ravindra V. Saraykar , Pankaj S. Joshi

We analyze the singularities of the two-point function in a conformal field theory at finite temperature. In a free theory, the only singularity is along the boundary light cone. In the holographic limit, a new class of singularities…

High Energy Physics - Theory · Physics 2021-03-31 Matthew Dodelson , Hirosi Ooguri

Regular black holes represent a conservative model in which the classical singularity is replaced by a non-singular core without necessarily modifying the spacetime outside the trapping horizon. Given the possible lack of phenomenological…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Francesco Di Filippo , Raúl Carballo-Rubio , Stefano Liberati , Costantino Pacilio , Matt Visser

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