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This work studies the dynamics of geodesic motion within a curved spacetime around a Schwarzschild black hole, perturbed by a gravitational field of a far axisymmetric distribution of mass enclosing the system. This spacetime can serve as a…

General Relativity and Quantum Cosmology · Physics 2023-11-16 Michal Stratený , Georgios Lukes-Gerakopoulos

It is shown that the axial and polar perturbations of the spherically symmetric black hole can be described in a gauge-invariant way. The reduced phase space describing gravitational waves outside of the horizon is described by the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jacek Jezierski

Complete integrability of geodesic motion, the well known feature of the fields of isolated stationary black holes, can easily be "spoilt" by the presence of some additional source (even if highly symmetric). In previous papers, we used…

High Energy Astrophysical Phenomena · Physics 2019-05-21 L. Polcar , P. Suková , O. Semerák

We use the conformal bootstrap equations to study the non-perturbative gravitational scattering between infalling and outgoing particles in the vicinity of a black hole horizon in AdS. We focus on irrational 2D CFTs with large $c$ and only…

High Energy Physics - Theory · Physics 2015-12-09 Steven Jackson , Lauren McGough , Herman Verlinde

This manuscript is a lightly reformatted version of my 2017 PhD thesis. I am posting it on arXiv at the request of my advisor, Sergiu Klainerman, who noted that it has been useful to some students. The content largely reflects the thesis in…

Analysis of PDEs · Mathematics 2026-03-17 John Stogin

We study the causal structure of dynamical charged black holes, with a sufficient number of massless fields, using numerical simulations. Neglecting Hawking radiation, the inner horizon is a null Cauchy horizon and a curvature singularity…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Sungwook E. Hong , Dong-il Hwang , Ewan D. Stewart , Dong-han Yeom

Planar black holes in AdS have long-lived quasinormal modes which capture the physics of charge and momentum diffusion in the dual field theory. How should we characterize the effective dynamics of a probe system coupled to the conserved…

High Energy Physics - Theory · Physics 2021-06-02 Jewel K. Ghosh , R. Loganayagam , Siddharth G. Prabhu , Mukund Rangamani , Akhil Sivakumar , V. Vishal

A four-dimensional static Schwarzschild-like solution obtained in [3]-[6] in the frames of the Einstein-Gauss-Bonnet gravity at the Kaluza-Klein split is analyzed. The matter in these solutions is created by auxiliary dimensions. The main…

General Relativity and Quantum Cosmology · Physics 2016-01-07 S. O. Alexeyev , B. N. Latosh , A. N. Petrov

We investigate the imprints of chaos in gravitational waves from extreme-mass-ratio inspirals configuration, where a stellar massive object, confined in a harmonic potential, orbits a supermassive Schwarzschild-like black hole embedded in a…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Surajit Das , Surojit Dalui , Bum-Hoon Lee , Yi-Fu Cai

We study black hole linear perturbation theory in a four-dimensional Schwarzschild (anti) de Sitter background. When dealing with a positive cosmological constant, the corresponding spectral problem is solved systematically via the…

High Energy Physics - Theory · Physics 2023-11-17 Gleb Aminov , Paolo Arnaudo , Giulio Bonelli , Alba Grassi , Alessandro Tanzini

We continue the study of time-like geodesic dynamics in exact static, axially and reflection symmetric space-times describing the fields of a Schwarzschild black hole surrounded by thin discs or rings. In the previous paper, the rise (and…

General Relativity and Quantum Cosmology · Physics 2012-11-20 O. Semerák , P. Suková

We discuss the black hole effective action and define its static subsector. We determine the induced gravito-static polarization constants (electric Love numbers) of static black holes (Schwarzschild) in an arbitrary dimension, namely the…

High Energy Physics - Theory · Physics 2012-11-07 Barak Kol , Michael Smolkin

We construct a static, spherically symmetric black hole (BH) solution embedded within a dark matter (DM) halo, formulated as a non-vacuum extension of the Schwarzschild spacetime. The DM distribution is modeled via an empirical density…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Francisco S. N. Lobo , Jorde A. A. Ramos , Manuel E. Rodrigues

This paper initiates a series of works dedicated to the rigorous study of the precise structure of gravitational radiation near infinity. We begin with a brief review of an argument due to Christodoulou [1] stating that Penrose's proposal…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Lionor M. A. Kehrberger

Recently it was proposed to explain the dynamical origin of the entropy of a black hole by identifying its dynamical degrees of freedom with states of quantum fields propagating in the black-hole's interior. The present paper contains the…

General Relativity and Quantum Cosmology · Physics 2011-04-18 A. O. Barvinsky , V. P. Frolov , A. I. Zelnikov

The long time behavior of an evaporating Schwarzschild black hole is studied exploiting that it can be described by an effective theory in 2D, a particular dilaton gravity model. A crucial technical ingredient is Izawa's result on…

General Relativity and Quantum Cosmology · Physics 2009-11-10 D. Grumiller

In a draining rotating fluid flow background, surface perturbations behave as a scalar field on a rotating effective black hole spacetime. We propose a new model for the background flow which takes into account the varying depth of the…

General Relativity and Quantum Cosmology · Physics 2015-06-08 Mauricio Richartz , Angus Prain , Stefano Liberati , Silke Weinfurtner

The excitation of a black hole by infalling matter or radiation has been studied for a long time, mostly in linear perturbation theory. In this paper we study numerically the response of a Schwarzschild black hole to an incoming…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Jörg Frauendiener , Chris Stevens

We introduce a new family of horizon-penetrating coordinate systems for the Schwarzschild black hole geometry featuring time coordinates that are Cauchy temporal functions for which the level sets are smooth, asymptotically flat, spacelike…

General Relativity and Quantum Cosmology · Physics 2025-12-18 Christian Röken

This work offers a didactical introduction to the calculations and geometrical properties of a static, spherically symmetric spacetime foliated by hyperboloidal time surfaces. We discuss the various degrees of freedom involved, namely the…

General Relativity and Quantum Cosmology · Physics 2024-01-17 Rodrigo Panosso Macedo