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To date, the most precise tests of general relativity have been achieved through pulsar timing, albeit in the weak-field regime. Since pulsars are some of the most precise and stable "clocks" in the Universe, present observational efforts…

General Relativity and Quantum Cosmology · Physics 2018-09-27 Mariafelicia De Laurentis , Ziri Younsi , Oliver Porth , Yosuke Mizuno , Luciano Rezzolla

We study the geodesic structure of the Korkina-Grigoryev spacetime. The corresponding metric is a generalization of the Schwarzschild geometry to the case involving a massless scalar field. We investigate the relation between the angular…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Irina Bormotova , Elena Kopteva

Nonsingular black holes have received much attention in recent years as they provide an opportunity to avoid the singularities inherent to the mathematical black holes predicted by general relativity. Based on the assumption that…

General Relativity and Quantum Cosmology · Physics 2023-12-07 Sebastian Murk , Ioannis Soranidis

In order to classify and understand the spacetime structure, investigation of the geodesic motion of massive and massless particles is a key tool. So the geodesic equation is a central equation of gravitating systems and the subject of…

General Relativity and Quantum Cosmology · Physics 2020-07-15 S. H. Hendi , A. M. Tavakkoli , S. Panahiyan , B. Eslam Panah , E. Hackmann

In this article the geodesic motion of test particles in the spacetime of a supersymmetric AdS$_5$ black hole is studied. The equations of motion are derived and solved in terms of the Weierstrass $\wp$, $\sigma$ and $\zeta$ functions.…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Jens-Christian Drawer , Saskia Grunau

These notes were prepared for a lecture on black holes delivered at the DPG Physics School "General Relativity @ 99" (Physikzentrum Bad Honnef, Germany, September 2014). The common thread of the lecture is the relation between geodesic…

General Relativity and Quantum Cosmology · Physics 2014-10-23 Emanuele Berti

We study the geodesic equations in the space-time of a Schwarzschild black hole pierced by an infinitely thin cosmic string and give the complete set of analytical solutions of these equations for massive and massless particles,…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Eva Hackmann , Betti Hartmann , Claus Laemmerzahl , Parinya Sirimachan

We describe general features of formation and disappearance of regular spherically symmetric black holes in semiclassical gravity. The allowed models are critically dependent on the requirement that the resulting objects evolve in finite…

General Relativity and Quantum Cosmology · Physics 2023-01-03 Pravin Kumar Dahal , Ioannis Soranidis , Daniel R. Terno

We study spherically symmetric magnetically charged generic black hole solutions of general relativity coupled to non-linear electrodynamics (NED). For characteristic values of the generic spacetime parameters we give the position of…

General Relativity and Quantum Cosmology · Physics 2019-10-01 Jaroslav Vrba , Ahmadjon Abdujabbarov , Arman Tursunov , Bobomurat Ahmedov , Zdeněk Stuchlík

In this work, we investigate geodesics and black hole shadows in the Kerr-Bertotti-Robinson spacetime. We show that the equations of motion for null geodesics are separable and admit analytical treatment, whereas timelike geodesics are…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Xinyu Wang , Yehui Hou , Xi Wan , Minyong Guo , Bin Chen

In this study, we investigate the geodesic motion of a test particle around the Schwarzchild black hole in a $\kappa$-deformed space-time. We compute a modified Lagrangian to obtain the $\kappa$-deformed effective potential and find the…

General Relativity and Quantum Cosmology · Physics 2024-05-10 Dilip Kumar , Suman Kumar Panja , Abhisek Saha , Soma Sanyal

Recently, an analytical study of radial and circular orbits for null and time-like geodesics that propagate in the spacetime produced by a Schwarzschild black hole associated with cloud of strings, in a universe filled by quintessence, has…

General Relativity and Quantum Cosmology · Physics 2022-07-26 Mohsen Fathi , Marco Olivares , J. R. Villanueva

According to Penrose effect, particles with negative energy can exist in the ergospheres of rotating black holes. We analyze geodesics for such particles and show that there are no circular and elliptic orbits in the ergosphere of a…

General Relativity and Quantum Cosmology · Physics 2022-10-11 Vitalii Vertogradov

Black hole echo is an important observable that can help us better understand gravitational theories. We present that the non-linear electrodynamic black holes can admit the multi-peak effective potential for the scalar perturbations, which…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Aofei Sang , Ming Zhang , Shao-Wen Wei , Jie Jiang

In this article, we study the circular motion of particles and the well-known Penrose mechanism around a Kerr-Newman-Kasuya black hole spacetime. The inner and outer horizons, as well as ergosurfaces of the said black hole, are briefly…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Saeed Ullah Khan , Jingli Ren

We investigate the geodesic motion in the background of Kerr-Sen Black Hole arising in the heterotic string theory. The nature of effective potential is discussed in radial as well as latitudinal direction. A special class of spherical…

General Relativity and Quantum Cosmology · Physics 2018-01-30 Rashmi Uniyal , Hemwati Nandan K. D. Purohit

The 1965 Penrose singularity theorem demonstrates the utterly inevitable and unavoidable formation of spacetime singularities under physically reasonable assumptions, and it remains one of the main results in our understanding of black…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

Black hole solutions are studied here within the symmetric teleparallel formulation of gravity, employing the $f(Q)$ model in which the gravitational dynamics are governed by the non-metricity scalar $Q$. We focus on static, circularly…

General Relativity and Quantum Cosmology · Physics 2026-03-10 G. G. L. Nashed , A. Eid

We analyze motion of massless and massive particles around black holes immersed in an asymptotically uniform magnetic field and surrounded by some mechanical structure, which provides the magnetic field. The space-time is described by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. A. Konoplya

We derive the exact form of effective potential in Kerr geometry from the general relativistic radial momentum equation. The effective potential accurately mimics the general relativistic features, over the entire range of the spin…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Abhrajit Bhattacharjee , Sandip K. Chakrabarti