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Phase space method provides a novel way for deducing qualitative features of nonlinear differential equations without actually solving them. The method is applied here for analyzing stability of circular orbits of test particles in various…

General Relativity and Quantum Cosmology · Physics 2009-11-13 A. Palit , A. Panchenko , N. G. Migranov , A. Bhadra , K. K. Nandi

The recent detection of gravitational waves from black hole coalescences and the first image of the black hole shadow enhance the possibilities of testing gravitational theories in the strong-field regime. In this paper, we study the…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Che-Yu Chen

We study slowly rotating black hole solutions within Degenerate Higher Order Scalar Tensor (DHOST) theories. Starting from a static, spherically symmetric metric solution of a DHOST theory, we employ the Hartle-Thorne ansatz to model a…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Hugo Candan , Karim Noui , David Langlois

Geodesic dynamics is regular in the fields of isolated stationary black holes. However, due to the presence of unstable periodic orbits, it easily becomes chaotic under various perturbations. Here we examine what amount of chaoticity is…

General Relativity and Quantum Cosmology · Physics 2012-11-20 O. Semerák , P. Suková

The scalar-tensor-vector gravity (STVG) theory has attracted significant interest due to its ability to effectively address the issue of galaxy rotation curves and clusters of galaxies without considering the influence of dark matter. In…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Wentao Liu , Di Wu , Xiongjun Fang , Jiliang Jing , Jieci Wang

We provide the quantization of a charged black hole. We consider a redefinition of the scalar constraint in order to render the algebra of constraints as a Lie algebra. We apply loop quantum gravity techniques adhered to a novel improved…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Florencia Benitez , Esteban Mato , Javier Olmedo

General relativity governs the nonlinear dynamics of spacetime, including black holes and their event horizons. We demonstrate that forced black hole horizons exhibit statistically steady turbulent spacetime dynamics consistent with…

High Energy Physics - Theory · Physics 2019-12-03 Tomas Andrade , Christiana Pantelidou , Julian Sonner , Benjamin Withers

Standard General Relativity assumes that, in the absence of classical matter sources, spacetime is empty. This chapter considers and analyses the new behaviours of the gravitational field that appear when one substitutes this emptiness by a…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Julio Arrechea , Carlos Barceló , Valentin Boyanov

We investigate the chaotic dynamics of the massless test particles moving in the regular black hole supported by a Dehnen-type dark matter halo. By limiting the particle within a external harmonic potential, we employ Poincar\'e sections…

General Relativity and Quantum Cosmology · Physics 2026-03-03 Aofei Sang , Ziyi Fang

We adopt general relativistic ray-tracing (GRRT) schemes to study images of Kerr-MOG black holes surrounded by geometrically thick magnetized equilibrium tori, which belong to steady-state solutions of thick accretion disks within the…

General Relativity and Quantum Cosmology · Physics 2024-09-16 Zelin Zhang , Songbai Chen , Jiliang Jing

We consider the motion of test particles around a $Reissner-Nordstr\"{o}m$ black hole immersed into a strong external magnetic field modifying the spacetime structure. When the particles are neutral, their dynamics are nonintegrable because…

General Relativity and Quantum Cosmology · Physics 2023-05-05 Daqi Yang , Wenfang Liu , Xin Wu

Different astrophysical methods can be combined to detect possible deviations from General Relativity. In this work, we consider a class of $f(R)$ gravity models selected by the existence of Noether symmetries. In this framework, it is…

General Relativity and Quantum Cosmology · Physics 2023-06-07 Vittorio De Falco , Francesco Bajardi , Rocco D'Agostino , Micol Benetti , Salvatore Capozziello

The Kerr-Newman metric is the unique vacuum solution of the General Relativistic field equations, in which any singularities or spacetime pathologies are hidden behind horizons. They are believed to describe the spacetimes of massive…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Dimitrios Psaltis

The discovery of cosmic acceleration has presented a unique challenge for cosmologists. As observational cosmology forges ahead, theorists have struggled to make sense of a standard model that requires extreme fine tuning. This challenge is…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-02 Chanda Prescod-Weinstein , Niayesh Afshordi , Michael L. Balogh

Equations of fully general relativistic radiation hydrodynamics in Kerr space-time are derived. While the interactions between matter and radiation are introduced in the comoving frame, the derivatives used when describing the global…

Astrophysics · Physics 2009-11-13 Rohta Takahashi

We analyze a rotating regular black hole spacetime with an asymptotically Minkowski core, focusing on extreme mass-ratio inspiral (EMRIs) where a stellar-mass object inspirals a supermassive black hole under consideration. Such spacetimes…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Shailesh Kumar , Tieguang Zi

We review the main ideas and results in the stationary problems of quantum chaos in generic (mixed) systems, whose classical dynamics has regular (invariant tori) and chaotic regions coexisting in the phase space. First we discuss the…

Chaotic Dynamics · Physics 2007-05-23 Marko Robnik

We study the shadows cast by rotating hairy black holes with two non-trivial time-periodic scalar fields having a non-flat Gaussian curvature of the target space spanned by the scalar fields. Such black holes are a viable alternative to the…

General Relativity and Quantum Cosmology · Physics 2024-05-09 Galin N. Gyulchev , Ayush Roy , Lucas G. Collodel , Petya G. Nedkova , Stoytcho S. Yazadjiev , Daniela D. Doneva

We investigate the spacetime of a slowly rotating black hole in the Chern-Simons modified gravity. The long range feature of frame-dragging effect under the Chern-Simon gravity well explains the flat rotation curves of galaxies which is a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kohkichi Konno , Toyoki Matsuyama , Yasuhiro Asano , Satoshi Tanda

We investigate chaos in the dynamics of massless particles near the horizon of static spherically symmetric black holes in two well-motivated models of $f(R)$ gravity. In both these models, we probe chaos in the particle trajectories (under…

General Relativity and Quantum Cosmology · Physics 2024-12-17 Surajit Das , Surojit Dalui , Rickmoy Samanta