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The theory of gauge-invariant non-spherical metric perturbations of Schwarzschild black hole spacetimes is now well established. Yet, as different notations and conventions have been used throughout the years, the literature on the subject…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Alessandro Nagar , Luciano Rezzolla

In this work we investigate the dynamics of cosmological models with spherical topology containing up to 600 Schwarzschild black holes arranged in an irregular manner. We solve the field equations by tessellating the 3-sphere into eight…

General Relativity and Quantum Cosmology · Physics 2018-08-24 Shan W. Jolin , Kjell Rosquist

In a seminal work, Hawking showed that natural states for free quantum matter fields on classical spacetimes that solve the spherically symmetric vacuum Einstein equations are KMS states of non-vanishing temperature. Although Hawking's…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Thomas Thiemann

Under the assumption that a dynamical scalar field is responsible for the current acceleration of the Universe, we explore the possibility of probing its physics in black hole merger processes with gravitational wave interferometers.…

General Relativity and Quantum Cosmology · Physics 2023-06-08 Johannes Noller , Luca Santoni , Enrico Trincherini , Leonardo G. Trombetta

A novel analytical Schwarzschild-like black hole (BH) solution is derived. It exhibits a static BH with a dark matter (DM) halo characterized by a Dehnen-type density profile. This solution could represent an alternative perspective on the…

General Relativity and Quantum Cosmology · Physics 2026-02-20 Uktamjon Uktamov , Sanjar Shaymatov , Bobomurat Ahmedov , Chengxun Yuan

Two-dimensional quantum fields in electric and gravitational backgrounds can be described by conformal field theories, and hence all the physical (covariant) quantities can be written in terms of the corresponding holomorphic quantities. In…

High Energy Physics - Theory · Physics 2008-11-26 Satoshi Iso , Takeshi Morita , Hiroshi Umetsu

We investigate the interior hyperbolic region of axisymmetric and stationary black holes surrounded by a matter distribution. First, we treat the corresponding initial value problem of the hyperbolic Einstein equations numerically in terms…

General Relativity and Quantum Cosmology · Physics 2011-10-04 Marcus Ansorg , Jörg Hennig

We study black holes for the linear hyperbolic equations describing the wave propagation in the moving medium. Such black holes are called artificial since the Lorentz metric associated with the hyperbolic equation does not necessary…

Analysis of PDEs · Mathematics 2011-05-11 Gregory Eskin

With the advent of gravitational wave astronomy and first pictures of the "shadow" of the central black hole of our milky way, theoretical analyses of black holes (and compact objects mimicking them sufficiently closely) have become more…

General Relativity and Quantum Cosmology · Physics 2021-05-21 Christian Pfeifer , Sebastian Schuster

The traditional approach to perturbations of nonrotating black holes in General Relativity uses the reformulation of the equations of motion into a radial second-order Schr\"odinger-like equation, whose asymptotic solutions are elementary.…

General Relativity and Quantum Cosmology · Physics 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

Dynamical Chern-Simons gravity is an extension of General Relativity in which the gravitational field is coupled to a scalar field through a parity-violating Chern-Simons term. In this framework, we study perturbations of spherically…

General Relativity and Quantum Cosmology · Physics 2013-12-04 C. Molina , Paolo Pani , Vitor Cardoso , Leonardo Gualtieri

Black hole horizons interact with external fields when matter-energy falls through them. Such non-stationary black hole horizons can be described using viscous fluid equations. This work attempts to describe this process using effective…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Swastik Bhattacharya , S. Shankaranarayanan

Improved semiclassical techniques are developed and applied to a treatment of a real scalar field in a $D$-dimensional gravitational background. This analysis, leading to a derivation of the thermodynamics of black holes, is based on the…

High Energy Physics - Theory · Physics 2007-05-23 Horacio E. Camblong , Carlos R. Ordonez

In this paper, we investigate the dynamics and gravitational-wave signatures of periodic orbits of spinning test particles moving in the equatorial plane around static, spherically symmetric black holes within the framework of Deser-Woodard…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Moisés Bravo-Gaete , Jianhui Lin , Yunlong Liu , Xiangdong Zhang

A new method has been developed recently to derive Hawking radiations from black holes based on considerations of gravitational and gauge anomalies at the horizon gr-qc/0502074 hep-th/0602146. In this paper, we apply the method to…

High Energy Physics - Theory · Physics 2010-10-27 Satoshi Iso , Takeshi Morita , Hiroshi Umetsu

By introducing auxiliary fields, which by their quantum numbers vanish in perturbation theory, we relate the dynamical perturbation theory of Pagels and Stokar and a successful gauged nonlocal constituent quark model to $U(N)$ gauge theory…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. Holdom , Qing Wang

The goal of this paper is to extend to higher dimensionality the methods and computations of vacuum polarization effects in black hole spacetimes. We focus our attention on the case of five dimensional Schwarzschild-Tangherlini black holes,…

General Relativity and Quantum Cosmology · Physics 2016-11-09 Antonino Flachi , Gonçalo M. Quinta , José P. S. Lemos

We present a covariant model of a spherically symmetric black hole with corrections motivated by loop quantum gravity. The effective modifications, parametrized by a positive constant $\lambda$, are implemented through a canonical…

General Relativity and Quantum Cosmology · Physics 2022-10-07 Asier Alonso-Bardaji , David Brizuela , Raül Vera

Black holes are usually studied without including effects of the expanding universe. However in some recent studies black holes have been embedded in an expanding universe, in order to determine the interplay, if any, of these two dynamical…

General Physics · Physics 2013-07-11 David P. Rothall , Reginald T. Cahill

In this paper, we investigate the Hamiltonian formulation of a spherically symmetric spacetime that corresponds to the interior of a Schwarzschild black hole. The resulting phase space involves two independent dynamical variables along with…

General Relativity and Quantum Cosmology · Physics 2025-10-16 Morteza Bajand , Babak Vakili