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We review some aspects of the attractor mechanism for extremal black holes of (not necessarily supersymmetric) theories coupling Einstein gravity to scalars and Maxwell vector fields. Thence, we consider N=2 and N=8, d=4 supergravities,…

High Energy Physics - Theory · Physics 2008-11-26 S. Ferrara , A. Marrani

Gravitational perturbations of flat Minkowski space make the Rindler horizon dynamical: the horizon satisfies mechanical laws analogous to the ones followed by black holes. We describe the gravitational perturbation of Minkowski space using…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Eugenio Bianchi , Alejandro Satz

It has recently been argued that extremal black holes can act as amplifiers of new physics, due to horizon instabilities that enhance the effects of ultraviolet corrections. In this paper, we revisit some of these claims and investigate the…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Francesco Di Filippo , Shinji Mukohyama , José M. M. Senovilla

These lectures provide a pedagogical, introductory review of the so-called Attractor Mechanism (AM) at work in two different 4-dimensional frameworks: extremal black holes in N=2 supergravity and N=1 flux compactifications. In the first…

High Energy Physics - Theory · Physics 2008-12-18 S. Bellucci , S. Ferrara , R. Kallosh , A. Marrani

Observations of neutron star mergers in the late Universe have given significant restrictions to the class of viable scalar-tensor theories. In this paper we construct black holes within the "self-tuning" class of this restricted set,…

General Relativity and Quantum Cosmology · Physics 2020-04-07 William T. Emond , Antoine Lehébel , 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

Black hole mimickers are possible alternatives to black holes, they would look observationally almost like black holes but would have no horizon. The properties in the near-horizon region where gravity is strong can be quite different for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 José P. S. Lemos , Oleg B. Zaslavskii

The spherical symmetry Black holes are considered in expanding background. The singularity line and the marginally trapped tube surface behavior are discussed. In particular, we address the conditions of whether a dynamical horizon forms…

General Relativity and Quantum Cosmology · Physics 2021-12-10 J. T. Firouzjaee

Due to the attractor mechanism, the entropy of an extremal black hole does not vary continuously as we vary the asymptotic values of various moduli fields. Using this fact we argue that the entropy of an extremal black hole in string…

High Energy Physics - Theory · Physics 2009-11-11 Atish Dabholkar , Ashoke Sen , Sandip Trivedi

The concept of attractors, well-known in classical mechanics, proved to be very productive in supergravity, in the theory of black holes and inflationary cosmology. We start with attractors in supersymmetric black holes and discuss also…

High Energy Physics - Theory · Physics 2025-03-19 Renata Kallosh , Andrei Linde

We determine the asymptotic symmetry group of Killing horizons by choosing Gaussian null coordinates in the neighbourhood of the horizon and boundary conditions that respect the leading order terms in the metric. The analysis divides…

High Energy Physics - Theory · Physics 2017-11-22 Emil T. Akhmedov , Mahdi Godazgar

We study the perturbative behaviour of topological black holes in the presence of a cosmological constant and a scalar field coupled to the Gauss-Bonnet term. We calculate both analytically and numerically the quasi-normal modes of scalar…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Stella Kiorpelidi , George Koutsoumbas , Andri Machattou , Eleftherios Papantonopoulos

For extremal black holes, one can construct simpler, limiting spacetimes that describe the geometry near degenerate horizons. Since these spacetimes are known to have enhanced symmetry, the limiting objects coincide for different solutions.…

General Relativity and Quantum Cosmology · Physics 2017-12-15 Filip Hejda , Jiří Bičák

Within a semiclassical framework, we investigate spherically symmetric solutions of the Einstein equations that (i) develop a trapped region within a finite time as measured by distant observers, and (ii) remain sufficiently regular at the…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Swayamsiddha Maharana , Rama Vadapalli

A regular solution of the system of coupled equations of the nonlinear electrodynamics and gravity describing static and spherically-symmetric black holes in an asymptotically de Sitter universe is constructed and analyzed. Special emphasis…

General Relativity and Quantum Cosmology · Physics 2009-02-12 Jerzy Matyjasek , Dariusz Tryniecki , Mariusz Klimek

Working in a semi-classical setting, we consider solutions of the Einstein equations that exhibit light trapping in finite time according to distant observers. In spherical symmetry, we construct near-horizon quantities from the assumption…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Pravin K. Dahal , Fil Simovic , Ioannis Soranidis , Daniel R. Terno

We study the behaviour of extremal and near-extremal black holes at low energies and low temperatures and find that it can be understood from the near-horizon $AdS_2$ region. Our analysis includes charged matter and also goes beyond the…

High Energy Physics - Theory · Physics 2019-07-31 Upamanyu Moitra , Sandip P. Trivedi , V. Vishal

We construct a general family of exact non-extremal 4-dimensional black holes in AdS gravity with U(1) gauge fields non-minimally coupled to a dilaton and a non-trivial dilaton potential. These black holes can have spherical, toroidal, and…

High Energy Physics - Theory · Physics 2015-06-17 Andres Anabalon , Dumitru Astefanesei

We investigate the generic behaviour of marginally trapped tubes (roughly time-evolved apparent horizons) using simple, spherically symmetric examples of dust and scalar field collapse/accretion onto pre-existing black holes. We find that…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Ivan Booth , Lionel Brits , Jose A. Gonzalez , Chris Van Den Broeck

We solve Einstein vacuum equations in a spacetime region up to the "center" of gravitational collapse. Within this region, we construct a sequence of marginally outer trapped surfaces (MOTS) with areas going to zero. These MOTS form a…

General Relativity and Quantum Cosmology · Physics 2020-10-26 Xinliang An