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We embed an object with a singular horizon structure, reminiscent of (but fundamentally different from, except in a limiting case) a black-hole event horizon, in an expanding, spherically symmetric, homogeneous, Universe that has a positive…

General Relativity and Quantum Cosmology · Physics 2024-07-02 R N Henriksen , A G Emslie

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

While the standard point of view is that the ultimate endpoint of black hole evolution is determined by Hawking evaporation, there is a growing evidence that classical and semi-classical instabilities affect both black holes with inner…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Francesco Di Filippo , Stefano Liberati , Matt Visser

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

The behavior of black hole horizons under extreme conditions-such as near collapse or phase transitions-remains less understood, particularly in the context of soft hair and Aretakis instabilities. We show that the breakdown of conformal…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Pradosh Keshav MV , Arun Kenath

We consider Einstein gravity extended with Riemann-squared term and construct the leading-order perturbative solution to the rotating black hole with all equal angular momenta in $D=7$. We find that in the extremal limit, the linear…

High Energy Physics - Theory · Physics 2023-07-28 Qi-Yuan Mao , Liang Ma , H. Lu

We study the evolution of nonlinear superhorizon perturbations in a universe dominated by a complex scalar field. The analysis is performed adopting the gradient expansion approach, in the constant mean curvature slicing. We derive general…

General Relativity and Quantum Cosmology · Physics 2021-10-18 Luis E. Padilla , Juan Carlos Hidalgo , Darío Núñez

Kerr-Schild solutions of the Einstein-Maxwell field equations, containing semi-infinite axial singular lines, are investigated. It is shown that axial singularities break up the black hole, forming holes in the horizon. As a result, a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alexander Burinskii , Emilio Elizalde , Sergi R. Hildebrandt , Giulio Magli

Linear perturbations of extremal black holes exhibit the Aretakis instability, in which higher derivatives of a scalar field grow polynomially with time along the event horizon. This suggests that higher derivative corrections to the…

High Energy Physics - Theory · Physics 2018-01-17 Shahar Hadar , Harvey S. Reall

We simulate the gravitational dynamics of the conifold geometries (resolved and deformed) involved in the description of certain compact spacetimes. As the cycles of the conifold collapse towards a singular geometry we find that a horizon…

High Energy Physics - Theory · Physics 2011-06-02 Neil A. Butcher , Paul M. Saffin

Static black holes contain regions of spacetime which not even light can escape from. In the centre of mass frame, these blocks are separated from each other by event horizons. Unlike pointlike particles, fields can spread and interact…

Analysis of PDEs · Mathematics 2024-12-03 Antti Kujanpää

The perturbation theory plays an important role in studying structure formation in cosmology and post-Newtonian physics, but not all phenomena can be described by the linear perturbation theory. Thus, It is necessary to study exact…

General Relativity and Quantum Cosmology · Physics 2018-07-17 Alireza Allahyari , Javad T. Firouzjaee , Reza Mansouri

We consider general, non-linear curvature perturbations on scales greater than the Hubble horizon scale by invoking an expansion in spatial gradients, the so-called gradient expansion. After reviewing the basic properties of the gradient…

Astrophysics · Physics 2009-10-09 Misao Sasaki

Extremal black holes are studied in a two dimensional model motivated by a dimensional reduction from four dimensions. Their quantum corrected geometry is calculated semiclassically and a mild singularity is shown to appear at the horizon.…

High Energy Physics - Theory · Physics 2010-11-01 Sandip P. Trivedi

We numerically investigated how the nonlinear dynamics depends on the dimensionality and on the higher-order curvature corrections in the form of Gauss-Bonnet (GB) terms. We especially monitored the processes of appearances of a singularity…

General Relativity and Quantum Cosmology · Physics 2017-08-16 Hisa-aki Shinkai , Takashi Torii

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

In the presence of primordial isocurvature perturbations, for example in a separate dark radiation sector, the superhorizon evolution of curvature perturbations becomes nontrivial. If the dark sector is radiation-like and constitutes a…

High Energy Physics - Phenomenology · Physics 2025-10-28 Christopher Gerlach , Wolfram Ratzinger , Pedro Schwaller

All known stationary black hole solutions in higher dimensions possess additional rotational symmetries in addition to the stationary Killing field. Also, for all known stationary solutions, the event horizon is a Killing horizon, and the…

General Relativity and Quantum Cosmology · Physics 2009-08-18 Stefan Hollands , Akihiro Ishibashi

If more than one curvaton dominate the Universe at different epochs from each other, curvature perturbations can be temporarily enhanced to a value much larger than the observed one 10^{-5}. The traces of the enhancement may be left as…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-29 Teruaki Suyama , Jun'ichi Yokoyama

We study the classical dynamics of black holes during a nonsingular cosmological bounce. Taking a simple model of a nonsingular bouncing cosmology driven by the combination of a ghost and ordinary scalar field, we use nonlinear evolutions…

General Relativity and Quantum Cosmology · Physics 2022-10-03 Maxence Corman , William E. East , Justin L. Ripley