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We numerically construct asymptotically extremal black holes through the nonlinear evolution of a charged scalar field. Our procedure -- which extends the work of Murata-Reall-Tanahashi to include charged scalar dynamics -- involves the…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Zachary Gelles , Frans Pretorius

We examine the evolution of extremal spherically symmetric black holes, developing both general theory as well as the specific cases of (charged) null dust and massless scalar field spacetimes. As matter accretes onto extremal marginally…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Ivan Booth

We assume that a quantum gravity theory exists where evolutions are unitary, no information is lost, singularities are resolved, and horizons form. Thus a massive star will collapse to a black hole having a horizon and an interior…

High Energy Physics - Theory · Physics 2015-01-07 S. Kalyana Rama

We show that axisymmetric extremal horizons are unstable under linear scalar perturbations. Specifically, we show that translation invariant derivatives of generic solutions to the wave equation do not decay along such horizons as advanced…

General Relativity and Quantum Cosmology · Physics 2021-02-26 Stefanos Aretakis

We investigate the effects of large scalar inhomogeneities during the kination epoch, a period in which the universe's dynamics are dominated by the kinetic energy of a scalar field, by fully evolving the Einstein equations using numerical…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-25 Cheng Cheng , Panagiotis Giannadakis , Lucien Heurtier , Eugene A. Lim

Lorentz-violating gravity theories with a preferred foliation can have instantaneous propagation. Nonetheless, it has been shown that black holes can still exist in such theories and the relevant notion of an event horizon has been dubbed…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Nicola Franchini , Mehdi Saravani , Thomas P. Sotiriou

We investigate the geometry near the horizon of a generic, four-dimensional extremal black hole. When the cosmological constant is negative, we show that (in almost all cases) tidal forces diverge as one crosses the horizon, and this…

High Energy Physics - Theory · Physics 2023-02-15 Gary T. Horowitz , Maciej Kolanowski , Jorge E. Santos

Non-extremal black holes are endowed with geometric invariants related to their horizon areas. We extend earlier work on hot attractor black holes to higher dimensions and add a scalar potential. In addition to the event and Cauchy…

High Energy Physics - Theory · Physics 2019-05-01 Kevin Goldstein , Vishnu Jejjala , James Junior Mashiyane , Suresh Nampuri

We clarify the behavior of curvature perturbations in a nonlinear theory in case the inflaton temporarily stops during inflation. We focus on the evolution of curvature perturbation on superhorizon scales by adopting the spatial gradient…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-18 Yu-ichi Takamizu , Jun'ichi Yokoyama

We study the evolution of charged, asymptotically de Sitter black holes close to the cold extremal branch of the phase space. We consider black hole sizes that are parametrically smaller than both their inverse temperature and the…

High Energy Physics - Theory · Physics 2025-10-22 Arindam Bhattacharjee , Muktajyoti Saha

A massless scalar field exhibits an instability at the event horizon of an extreme black hole. We study numerically the nonlinear evolution of this instability for spherically symmetric perturbations of an extreme Reissner-Nordstrom (RN)…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Keiju Murata , Harvey S. Reall , Norihiro Tanahashi

We study numerically the evolution of spactime, and in particular of a spacetime singularity, inside a black hole under a class of perturbations of non-compact support. We use a very simplified toy model of a spherical charged black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

We show that the emergent near-horizon conformal symmetry of extremal black holes gives rise to universal behavior in perturbing fields, both near and far from the black hole horizon. The scale-invariance of the near-horizon region entails…

General Relativity and Quantum Cosmology · Physics 2018-07-12 Samuel E. Gralla , Peter Zimmerman

We investigate the quantum evolution of large black holes that nucleate spontaneously in de Sitter space. By numerical computation in the s-wave and one-loop approximations, we verify claims that such black holes can initially…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jens C. Niemeyer , Raphael Bousso

Primordial black holes could have been formed in the early universe from sufficiently large cosmological perturbations re-entering the horizon when the Universe is still radiation dominated. These originate from the spectrum of curvature…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-24 Alex Kehagias , Ilia Musco , Antonio Riotto

In this paper, we investigate the dynamical formation and evolution of 2 + 1-dimensional charged black holes. We numerically study dynamical collapses of charged matter fields in an anti de Sitter background and note the formation of black…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Dong-il Hwang , Hongbin Kim , Dong-han Yeom

We present a novel model-independent generic mechanism for primordial black hole formation within the context of non-singular matter bouncing cosmology. In particular, considering a short duration transition from the matter contracting…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Theodoros Papanikolaou , Shreya Banerjee , Yi-Fu Cai , Salvatore Capozziello , Emmanuel N. Saridakis

The behaviour of stationary gravitational perturbations is studied for generalised static black holes in spacetimes of greater than three dimensions, using the formulation developed by the present author and Ishibashi. For the case in which…

High Energy Physics - Theory · Physics 2009-11-10 Hideo Kodama

We show that the horizon instability of the extremal Kerr black hole is associated with a singular branch point in the Green function at the superradiant bound frequency. We study generic initial data supported away from the horizon and…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Marc Casals , Samuel E. Gralla , Peter Zimmerman

Black holes encountered in general relativity are characterized by spacetime singularities hidden within an event horizon. These singularities provide a key motivation to go beyond general relativity and look for regular black holes where…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Alfio Bonanno , Frank Saueressig
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