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We study static spherically symmetric black hole solutions with a linearly time-dependent scalar field and discuss their linear stability in the shift- and reflection-symmetric subclass of quadratic degenerate higher-order scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Kazufumi Takahashi , Hayato Motohashi , Masato Minamitsuji

We study evolution of gravitational perturbations of black strings. It is well known that for all wavenumber less than some threshold value, the black string is unstable against scalar type of gravitational perturbations, which is named the…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Konoplya , Keiju Murata , Jiro Soda , A. Zhidenko

Dynamical Chern-Simons gravity has an interesting feature that the parity violating term exists, and the coupling is determined by a dynamical scalar field. When the spacetime has spherical symmetry, the parity violating term vanishes, and…

General Relativity and Quantum Cosmology · Physics 2018-08-15 Masashi Kimura

We extend a recently developed numerical code to obtain stationary, axisymmetric solutions that describe rotating black hole spacetimes in a wide class of modified theories of gravity. The code utilizes a relaxed Newton-Raphson method to…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

Numerical relativity has faced the problem that standard 3+1 simulations of black hole spacetimes without singularity excision and with singularity avoiding lapse and vanishing shift fail after an evolution time of around 30-40M due to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miguel Alcubierre , Bernd Bruegmann , Peter Diener , Michael Koppitz , Denis Pollney , Edward Seidel , Ryoji Takahashi

In this article, we introduce a new effective model for the Kantowski-Sachs spacetime in the context of loop quantum gravity, and we use it to evaluate departures from general relativity in the case of Schwarzschild black hole interior. The…

General Relativity and Quantum Cosmology · Physics 2021-06-21 Mehdi Assanioussi , Lisa Mickel

We construct a numerical relativity code based on the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation for the gravitational quadratic $f(R)$ Starobinsky model. By removing the assumption that the determinant of the conformal 3-metric…

General Relativity and Quantum Cosmology · Physics 2024-05-02 Ulrich K. Beckering Vinckers , Álvaro de la Cruz-Dombriz , Denis Pollney

We study the dynamics of test particle and stability of circular geodesics in the gravitational field of a non-commutative geometry inspired Schwarzschild black hole spacetime (NCSBH). The coordinate time Lyapunov exponent ($\lambda_{c}$)…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Shobhit Giri , Hemwati Nandan , Lokesh Kumar Joshi , Sunil D. Maharaj

Full relativistic simulations in three dimensions invariably develop runaway modes that grow exponentially and are accompanied by violations of the Hamiltonian and momentum constraints. Recently, we introduced a numerical method…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Pedro Marronetti

We investigate the linear stability of the two known branches of spherically-symmetric black holes in Quadratic Gravity. We extend previous work on the long-wavelength (Gregory-Laflamme) instability of the Schwarzschild branch to a…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Aaron Held , Jun Zhang

Recently, ultracompact objects have been found to be susceptible to a new nonlinear instability, known as the light-ring instability, triggered by stable light rings. This discovery raises concerns about the viability of these objects as…

General Relativity and Quantum Cosmology · Physics 2024-03-12 Guangzhou Guo , Peng Wang , Yupeng Zhang

This paper utilizes the {\it Black Hole Vision} smartphone application to catalyze a pedagogical shift in General Relativity education through the quantitative analysis of simulated black hole imaging. Presented here for the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Lior M. Burko

We investigate the interior structure, perturbations, and the associated quasinormal modes of a quantum black hole model recently proposed by Bodendorfer, Mele, and M\"unch (BMM). Within the framework of loop quantum gravity, the quantum…

General Relativity and Quantum Cosmology · Physics 2020-08-04 Mariam Bouhmadi-López , Suddhasattwa Brahma , Che-Yu Chen , Pisin Chen , Dong-han Yeom

Using the Schwarzschild metric as a rudimentary toy model, we pedagogically revisit the curious prediction that the mass of a classical black hole in a constant temperature thermal bath diverges in a finite amount of time. We study in…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Aurélien Barrau , Killian Martineau , Cyril Renevey

A massive spin-2 field can grow unstably around a black hole, giving rise to a potential probe of the existence of such fields. In this work, we use time-domain evolutions to study such instabilities. Considering the linear regime by…

General Relativity and Quantum Cosmology · Physics 2023-12-19 William E. East , Nils Siemonsen

Loop quantum cosmology is a symmetry-reduced application of loop quantum gravity that has led to the resolution of classical singularities such as the big bang, and those at the center of black holes. This can be seen through numerical…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Alec Yonika , Gaurav Khanna

The inhomogeneous distribution of matter in the non-linear regime of galaxies, clusters of galaxies and voids is described by an exact, spherically symmetric inhomogeneous solution of Einstein's gravitational field equations, corresponding…

Astrophysics · Physics 2009-11-11 J. W. Moffat

The physical interpretation and eventual fate of gravitational singularities in a theory surpassing classical general relativity are puzzling questions that have generated a great deal of interest among various quantum gravity approaches.…

General Relativity and Quantum Cosmology · Physics 2019-11-06 Norbert Bodendorfer , Fabio M. Mele , Johannes Münch

Recent developments in the modified harmonic and modified puncture gauges have opened new possibilities for performing stable numerical evolutions beyond General Relativity. In this work, we utilise techniques developed in the…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Harry L. H. Shum , Llibert Aresté Saló , Farid Thaalba , Miguel Bezares , Thomas P. Sotiriou

We present a new many-parameter family of hyperbolic representations of Einstein's equations, which we obtain by a straightforward generalization of previously known systems. We solve the resulting evolution equations numerically for a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lawrence E. Kidder , Mark A. Scheel , Saul A. Teukolsky