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In this paper, we study the stability of geodesic motion for both massive and massless particles using Lyapunov exponents in the non-commutative (NC) Schwarzschild black hole (BH) via the gauge theory of gravity. As a first step, we…

High Energy Physics - Theory · Physics 2025-07-17 Abdellah Touati , Zaim Slimane

We study a spherically symmetric spacetime made of anisotropic fluid of which radial equation of state is given by $p_1 = -\rho$. This provides analytic solutions and a good opportunity to study the static configuration of black hole plus…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Inyong Cho , Hyeong-Chan Kim

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 first paper of this series, the…

General Relativity and Quantum Cosmology · Physics 2013-11-15 P. Suková , O. Semerák

A disformal Kerr black hole solution is a rotating black hole solution in a modified gravity theory which breaks the circular condition of spacetime differently from the case of the Kerr spacetime. In this paper, assuming that Sagittarius…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Yohsuke Takamori , Atsushi Naruko , Yusuke Sakurai , Keitaro Takahashi , Daisuke Yamauchi , Chul-Moon Yoo

It is generally accepted that Einstein's theory will get some as yet unknown corrections, possibly large in the strong field regime. An ideal place to look for these modifications is around the vicinities of compact objects such as black…

General Relativity and Quantum Cosmology · Physics 2009-09-11 Paolo Pani , Vitor Cardoso

For gauged scalar fields minimally coupled to Einstein-Maxwell theory, the Mayo-Bekenstein no-hair theorem can be circumvented when including appropriate scalar self-interactions, allowing static, electrically charged black holes to be…

High Energy Physics - Theory · Physics 2024-06-18 Carlos Herdeiro , Eugen Radu , Yakov Shnir

We show non-linear stability and instability results in spherical symmetry for the interior of a charged black hole -approaching a sub-extremal Reissner-Nordstr\"om background fast enough at infinity- in presence of a massive and charged…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Maxime Van de Moortel

There is a growing interest in the study of regular black holes because they eliminate the problem of the singularity that conventional black hole models present. We analyze here the motion of different types of particles (without mass,…

General Relativity and Quantum Cosmology · Physics 2019-03-12 Katharine I. Cuba , Santiago E. Perez

We present stationary solutions of geometrically thick discs (or tori) endowed with a self-consistent toroidal magnetic field distribution surrounding a non-rotating black hole in an analytical, static, spherically-symmetric $f(R)$-gravity…

High Energy Astrophysical Phenomena · Physics 2021-06-08 Alejandro Cruz-Osorio , Sergio Gimeno-Soler , José A. Font , Mariafelicia De Laurentis , Sergio Mendoza

We propose a new paradigm in the field of black hole physics, i.e., with more and more high precision observations, one must make a metric selection to determine which black hole is observationally preferred. In light of the shadow imaging…

General Relativity and Quantum Cosmology · Physics 2022-06-16 Deng Wang

We investigate the use of a Hamiltonian Monte Carlo to map out the posterior density function for supermassive black hole binaries. While previous Markov Chain Monte Carlo (MCMC) methods, such as Metropolis-Hastings MCMC, have been…

General Relativity and Quantum Cosmology · Physics 2019-08-19 Edward K. Porter , Jérôme Carré

The dynamical system studied in previous papers of this series, namely a bound time-like geodesic motion in the exact static and axially symmetric space-time of an (originally) Schwarzschild black hole surrounded by a thin disc or ring, is…

High Energy Astrophysical Phenomena · Physics 2015-09-29 V. Witzany , O. Semerak , P. Sukova

We perform a comprehensive analysis of a number of scalar field theories in a attempt to find analytically 5-dimensional, localised-on-the-brane, black-hole solutions. Extending a previous analysis, we assume a generalised Vaidya ansatz for…

High Energy Physics - Theory · Physics 2015-12-16 P. Kanti , N. Pappas , T. Pappas

The final fate of gravitational collapse of massive stars has been a subject of interest for a long time since such a collapse may lead to black holes and naked singularities alike. Since, the formation of naked singularities is forbidden…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Subhadip Sau , Indrani Banerjee , Soumitra SenGupta

The complete analytical solutions of the geodesic equation of massive test particles in higher dimensional Schwarzschild, Schwarzschild-(anti)de Sitter, Reissner-Nordstroem and Reissner-Nordstroem-(anti)de Sitter space--times are presented.…

General Relativity and Quantum Cosmology · Physics 2009-04-23 Eva Hackmann , Valeria Kagramanova , Jutta Kunz , Claus Laemmerzahl

We study the full time-domain evolution of gravitational perturbations in black hole spacetimes arising in Einstein-Weyl gravity, a renormalizable extension of general relativity containing quadratic curvature corrections. We analyze both…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Roman A. Konoplya , Andrea Spina , Alexander Zhidenko

In this paper we revisit the analysis of the ringdown frequencies in the form of quasi-normal modes for Schwarzschild,Schwarzschild de-Sitter and Reissner-Nordstr\"om space-times. We plot these frequencies, using the third-order WKB…

General Relativity and Quantum Cosmology · Physics 2019-04-29 Edison C. Santos , Júlio C. Fabris , José A. de Freitas Pacheco

Inspired by the Lifshitz gravity as a theory with anisotropic scaling behavior, we suggest a new $(n+1)-$dimensional metric in which the time and spatial coordinates scale anisotropically as $(t,r,\theta_{i})\,\to…

General Relativity and Quantum Cosmology · Physics 2022-12-06 S. Mahmoudi , Kh. Jafarzade , S. H. Hendi

We study physical properties and global structures of a time-dependent, spherically symmetric solution obtained via the dimensional reduction of intersecting M-branes. We find that the spacetime describes a maximally charged black hole…

High Energy Physics - Theory · Physics 2010-04-06 Kei-ichi Maeda , Masato Nozawa

Using a novel numerical spectral method, we have constructed an AdS_5-CFT_4 solution to the Einstein equation with a negative cosmological constant Lambda that is asymptotically conformal to the Schwarzschild metric. This method is…

High Energy Physics - Theory · Physics 2015-03-20 Shohreh Abdolrahimi , Céline Cattoën , Don N. Page , Shima Yaghoobpour-Tari