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We investigate the scalar field perturbations of the 4+1-dimensional Schwarzschild black hole immersed in a G\"{o}del Universe, described by the Gimon-Hashimoto solution.This may model the influence of the possible rotation of the Universe…

High Energy Physics - Theory · Physics 2009-11-11 R. A. Konoplya , Elcio Abdalla

We study static, spherically symmetric black hole solutions of the Einstein equations with a positive cosmological constant and a conformally coupled self interacting scalar field. Exact solutions for this model found by Mart{\'\i}nez,…

High Energy Physics - Theory · Physics 2008-11-26 Gustavo Dotti , Reinaldo J. Gleiser , Cristian Martinez

Although the traditional form of the Einstein field equations is intrinsically four-dimensional, the field of numerical general relativity focuses on the reformulation of these equations as a 3 + 1-dimensional Cauchy problem, in which…

General Relativity and Quantum Cosmology · Physics 2021-10-19 Jonathan Gorard

The ``close limit,'' a method based on perturbations of Schwarzschild spacetime, has proved to be a very useful tool for finding approximate solutions to models of black hole collisions. Calculations carried out with second order…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Garat , R. H. Price

We describe the first axisymmetric numerical code based on the generalized harmonic formulation of the Einstein equations which is regular at the axis. We test the code by investigating gravitational collapse of distributions of complex…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Evgeny Sorkin

Self-gravitating relativistic disks around black holes can form as transient structures in a number of astrophysical scenarios such as binary neutron star and black hole-neutron star coalescences, as well as the core-collapse of massive…

High Energy Astrophysical Phenomena · Physics 2011-02-23 Oleg Korobkin , Ernazar B. Abdikamalov , Erik Schnetter , Nikolaos Stergioulas , Burkhard Zink

We initiate the study of dynamical instabilities of higher-dimensional black holes using the blackfold approach, focusing on asymptotically flat boosted black strings and singly-spinning black rings in $D\ge5$. We derive novel analytic…

High Energy Physics - Theory · Physics 2019-05-14 Jay Armas , Enrico Parisini

The development of hyperbolic formulations of Einstein's equations has revolutionized our ability to perform long-time, stable, accurate numerical simulations of strong field gravitational phenomena. However, hyperbolic methods have seen…

General Relativity and Quantum Cosmology · Physics 2015-10-21 Arman Akbarian , Matthew W. Choptuik

We investigate the stability of QNM spectra and greybody factors in the Schwarzschild black hole by approximating the Regge-Wheeler potential with a piecewise parabolic form and treating the deviation as a perturbation. We find that QNM…

General Relativity and Quantum Cosmology · Physics 2025-07-04 Libo Xie , Liang-Bi Wu , Zong-Kuan Guo

The longstanding issue of general covariance in effective models of quantum gravity is addressed, which arises when canonical quantum gravity leads to a semiclassical model described by an effective Hamiltonian constraint. In the context of…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Cong Zhang , Jerzy Lewandowski , Yongge Ma , Jinsong Yang

We present an analysis of the behaviour at late-times of linear field perturbations of a Schwarzschild black hole space-time. In particular, we give explicit analytic expressions for the field perturbations (for a specific multipole) of…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Marc Casals , Adrian C. Ottewill

In this paper, we investigate the motion of spinning particles in the background of covariant loop quantum gravity black holes, focusing on two distinct effective metric solutions. Both metrics incorporate a quantum parameter $\zeta$, which…

General Relativity and Quantum Cosmology · Physics 2025-05-21 Yongbin Du , Yunlong Liu , Xiangdong Zhang

We have extended the results of arXiv:1704.06076 upto second subleading order in an expansion around large dimension D. Unlike the previous case, there are non-trivial metric corrections at this order. Due to our `background-covariant'…

High Energy Physics - Theory · Physics 2018-11-14 Sayantani Bhattacharyya , Parthajit Biswas , Yogesh Dandekar

During the last few years progress has been made on several fronts making it possible to revisit Cauchy-perturbative matching (CPM) in numerical relativity in a more robust and accurate way. This paper is the first in a series where we plan…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Burkhard Zink , Enrique Pazos , Peter Diener , Manuel Tiglio

This paper systematically investigates the quasinormal modes (QNMs) and tidal Love numbers of covariant quantum-modified black holes (BHs) within two cosmological constant-dependent metric frameworks. By deriving axial/polar perturbation…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Yunlong Liu , Xiangdong Zhang

A first order symmetric hyperbolic tetrad formulation of the Einstein equations developed by Estabrook and Wahlquist and put into a form suitable for numerical relativity by Buchman and Bardeen (the WEBB formulation) is adapted to explicit…

General Relativity and Quantum Cosmology · Physics 2013-05-29 L. T. Buchman , J. M. Bardeen

We consider the time evolution of massless gravitino perturbations in Schwarzschild black holes, and show that as in the case of fields of other values of spin, the evolution comes in three stages, after an initial outburst as a first…

General Relativity and Quantum Cosmology · Physics 2011-02-09 Owen Pavel Fernández Piedra

To model the interior of a black hole, a study is made of a spin system with long-range random four-spin couplings that exhibits quantum chaos. The black hole limit corresponds to a system where the microstates are approximately degenerate…

High Energy Physics - Theory · Physics 2020-07-15 David A Lowe , Mengyang Tong

We consider the existence and stability of the hole, or dark soliton, solution to a Ginzburg-Landau perturbation of the defocusing nonlinear Schroedinger equation (NLS), and to the nearly real complex Ginzburg-Landau equation (CGL). By…

patt-sol · Physics 2009-10-31 Todd Kapitula , Jonathan Rubin

Black hole (BH) solution in the conformal Weyl gravity is a generalization of the Schwarzschild spacetime which includes two additional constants appearing when integrating the third order differential equations for gravitational field. One…

General Relativity and Quantum Cosmology · Physics 2021-02-24 R. A. Konoplya
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