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Using the exact solution that describes multi-centered rotating black holes, recently discovered by Teo and Wan, we investigate the innermost stable circular orbit (ISCO) for massive particles and the circular orbit for massless particles…

General Relativity and Quantum Cosmology · Physics 2024-03-28 Eiki Kagohashi , Ryotaku Suzuki , Shinya Tomizawa

The timelike geodesic equations resulting from the Kerr gravitational metric element are derived and solved exactly including the contribution from the cosmological constant. The geodesic equations are derived, by solving the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 G. V. Kraniotis

A model one-dimensional self consistent steady state collisionless self-gravitating system in which all the particles have the same energy is presented. This has the remarkable property that the position and velocity of the particles…

Astrophysics of Galaxies · Physics 2026-01-07 Rajaram Nityananda

Using asymptotic characterization results of spacetimes at conformal infinity, we prove that Kerr-Schild-de Sitter spacetimes are in one-to-one correspondence with spacetimes in the Kerr-de Sitter-like class with conformally flat…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Marc Mars , Carlos Peón-Nieto

Space-times admitting a shear-free, irrotational, geodesic null congruence are studied. Attention is focused on those space-times in which the gravitational field is a combination of a perfect fluid and null radiation.

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. M. Sintes , A. A. Coley , D. J. McManus

We investigate timelike geodesics in asymptotically flat regular black holes supported by a phantom scalar field characterized by a scalar charge $A$. This parameter removes the central singularity and continuously deforms the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-04-23 P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

We derive a general formula for the center-of-mass (CM) energy for the near-horizon collision of two particles of the same rest mass on the equatorial plane around a Kerr black hole. We then apply this formula to a particle which plunges…

General Relativity and Quantum Cosmology · Physics 2011-10-21 Tomohiro Harada , Masashi Kimura

We present the analytical solutions for the trajectories of particles that spiral and plunge inward the event horizon along the timelike geodesics following general non-equatorial paths within Kerr-Newman spacetimes. Our studies encompass…

General Relativity and Quantum Cosmology · Physics 2024-04-30 Yu-Chung Ko , Da-Shin Lee , Chi-Yong Lin

Astrophysical black holes are often embedded into electromagnetic fields, that can usually be treated as test fields not influencing the spacetime geometry. Here we analyse the innermost stable circular orbit (ISCO) of charged particles…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Jan P. Hackstein , Eva Hackmann

In this work, we investigated the motion of spinning test particles around a rotating wormhole, extending, in this way, the previous work of Benavides-Gallego et al. in [Phys. Rev. D 101, no.12, 124024] to the general case. Using the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Farrux Abdulxamidov , Carlos A. Benavides-Gallego , Wen-Biao Han , Javlon Rayimbaev , Ahmadjon Abdujabbarov

We present a discussion of the periodicity in imaginary time of maximally extended black hole spacetimes without reference to Euclidean manifolds. As motivation, we first demonstrate our approach for the Rindler geometry in flat space…

General Relativity and Quantum Cosmology · Physics 2024-08-28 Bernardo Araneda , Bernard F. Whiting

The motion of particles on spherical $1 + 3$ dimensional spacetimes can, under some assumptions, be described by the curves on a 2-dimensional manifold, the optical and Jacobi manifolds for null and timelike curves, respectively. In this…

General Relativity and Quantum Cosmology · Physics 2022-08-01 Pedro V. P. Cunha , Carlos A. R. Herdeiro , João P. A. Novo

We engage with the challenge of calculating the waveforms of gravitational waves emitted by spinless binary black hole merger in extreme mass-ratio limit. We model the stellar-mass black hole as a test-particle, initially on a circular…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Ilan Strusberg , Barak Rom , Re'em Sari

We present numerical waveforms of gravitational-wave echoes from spinning exotic compact objects (ECOs) that result from binary black hole coalescence. We obtain these echoes by solving the Teukolsky equation for the $\psi_4$ associated…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Shuo Xin , Baoyi Chen , Rico K. L. Lo , Ling Sun , Wen-Biao Han , Xingyu Zhong , Manu Srivastava , Sizheng Ma , Qingwen Wang , Yanbei Chen

In this work we study the equatorial causal geodesics of the Taub-NUT (TN) space-time in comparison with \emph{mass-less} TN space-time. We emphasized both on the null circular geodesics and time-like circular geodesics. From the effective…

General Relativity and Quantum Cosmology · Physics 2017-04-21 Parthapratim Pradhan

The dynamics of charged particles moving around a Kerr-Newman black hole surrounded by cloud strings, quintessence and electromagnetic field is integrable due to the presence of a fourth constant of motion like the Carter constant. The…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Wenfu Cao , Wenfang Liu , Xin Wu

We compute the proper time Lyapunov exponent for charged Myers Perry black hole spacetime and investigate the instability of the equatorial circular geodesics (both timelike and null) via this exponent. We also show that for more than four…

General Relativity and Quantum Cosmology · Physics 2013-07-05 Partha Pratim Pradhan

We consider circular motion in the NUT (Newman-Unti-Tamburino) space-time. Among other things, we determine the location of circular time-like geodesic orbits, in particular of the innermost stable circular orbit (ISCO) and of the…

General Relativity and Quantum Cosmology · Physics 2017-05-09 Paul Jefremov , Volker Perlick

We derive an effective Kerr metric from an effective Schwarzschild metric inspired by loop quantum gravity through the Newman-Janis algorithm. The resulting spacetime is free from the classical ring singularity and does not allow the…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Francesco Fazzini

We investigate particle and photon motion in the vicinity of a static and spherically symmetric black hole surrounded by perfect fluid dark matter in the presence of an external asymptotically uniform magnetic field. We determine the radius…

General Relativity and Quantum Cosmology · Physics 2021-10-28 Sanjar Shaymatov , Daniele Malafarina , Bobomurat Ahmedov
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