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A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

The theory of higher derivative gravity is proposed to solve the non-renormalizable problem in quantum gravity.In this article, We use two numerical methods to fit another static spherically symmetric black hole besides the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2024-01-09 Jin-Bo He

Spherically symmetric (1D) black-hole spacetimes are considered as a test for numerical relativity. A finite difference code, based in the hyperbolic structure of Einstein's equations with the harmonic slicing condition is presented.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Carles Bona , Joan Masso , Joan Stela

Black holes can be electromagnetically charged, or carry vector charge from new fundamental fields. Their response to small fluctuations is of paramount importance to study gravitational wave generation. However, the usual even and odd…

General Relativity and Quantum Cosmology · Physics 2023-10-25 David Pereñiguez

We study two large classes of alternative theories, modifying the action through algebraic, quadratic curvature invariants coupled to scalar fields. We find one class that admits solutions that solve the vacuum Einstein equations and…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Nicolas Yunes , Leo C. Stein

We reduce the study of perturbations of rotating black holes in higher-derivative extensions of general relativity to a system of decoupled radial equations that stem from a set of universal Teukolsky equations. We detail a complete…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Pablo A. Cano , Kwinten Fransen , Thomas Hertog , Simon Maenaut

We investigate how a spherically symmetric fluid modifies the Schwarzschild vacuum solution when there is no exchange of energy-momentum between the fluid and the central source of the Schwarzschild metric. This system is described by means…

General Relativity and Quantum Cosmology · Physics 2018-11-26 J Ovalle , R Casadio , R da Rocha , A Sotomayor , Z Stuchlik

The negative mode of the Schwarzschild black hole is central to Euclidean quantum gravity around hot flat space and for the Gregory-Laflamme black string instability. Numerous gauges were employed in the past to analyze it. Here _the_…

High Energy Physics - Theory · Physics 2008-11-26 Barak Kol

We consider an auxiliary fields formulation for the general fourth-order gravity on an arbitrary curved background. The case of a Ricci-flat background is elaborated in full details and it is shown that there is an equivalence with the…

General Relativity and Quantum Cosmology · Physics 2015-04-28 Sebastiao Mauro , Roberto Balbinot , Alessandro Fabbri , Ilya L. Shapiro

In this work we study static spherically symmetric solutions of effective field equations related to local and nonlocal higher-derivative gravity models, based on their associated effective delta sources. This procedure has been applied to…

General Relativity and Quantum Cosmology · Physics 2024-09-16 Tibério de Paula Netto , Breno L. Giacchini , Nicolò Burzillà , Leonardo Modesto

Action-angle coordinates are a tool commonly used in celestial mechanics to systematically parametrize and store general solutions of the equations of motion of astrophysical bodies. I perturbatively construct action-angle coordinates for…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Vojtěch Witzany

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

We present a new method for the calculation of black hole perturbations induced by extended sources in which the solution of the nonlinear hydrodynamics equations is coupled to a perturbative method based on Regge-Wheeler/Zerilli and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Valeria Ferrari , Leonardo Gualtieri , Luciano Rezzolla

We study the dynamics near the central singularity in spherically symmetric collapse of a massless scalar field toward Schwarzschild black hole formation. The equations of motion take different simplified forms in the early and late stages…

General Relativity and Quantum Cosmology · Physics 2021-08-03 Jun-Qi Guo

Black holes have long served as a testing ground for probing theories of gravity and quantum mechanics. Notably, fundamental fields in the neighborhood of black holes exhibit rich phenomena that could yield astrophysical observable…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Guang-Shang Chen , Cheng-Bo Yang , Shou-Shan Bao , Yong Tang , Yue-Liang Wu

The close limit approximation of binary black hole is a powerful method to study gravitational-wave emission from highly non-linear geometries. In this work, we use it as a tool to model black hole spacetimes in theories of gravity with a…

General Relativity and Quantum Cosmology · Physics 2021-12-22 Lorenzo Annulli

Gravitational waves emitted by distorted black holes, such as those arising from the coalescence of binary black holes, or a falling compact star into a supermassive black hole, carry not only information about the corresponding spacetime…

General Relativity and Quantum Cosmology · Physics 2022-02-10 Chao Zhang , Tao Zhu , Anzhong Wang

In this work, we derive new analytic, static, symmetric black hole solutions in theories involving dark photons with minimal and higher-order magnetic dipole interactions. Starting from the effective non-relativistic potential between…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Ali Övgün , Reggie C. Pantig

Effective field theory methods suggest that some rather-general extensions of General Relativity include, or are mimicked by, certain higher-order curvature corrections, with coupling constants expected to be small but otherwise arbitrary.…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Leonardo Senatore

Isolated and Dynamical horizons are used to generate boundary conditions upon the lapse and shift vectors. Numerous results involving the Hamiltonian of General relativity are derived, including a self-contained derivation of the…

General Relativity and Quantum Cosmology · Physics 2023-12-21 Zoë Schirmer