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The effective potential in universal like coordinates$(U, V, \theta, \phi)$, which are smooth across the event horizon is derived and investigated the ISCO(Innermost Stable Circular Orbits) explicitly in these coordinates for extremal Kerr…

General Relativity and Quantum Cosmology · Physics 2012-12-27 Partha Pratim Pradhan

We study stability of a circular orbit of a spinning test particle in a Kerr spacetime. We find that some of the circular orbits become unstable in the direction perpendicular to the equatorial plane, although the orbits are still stable in…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Shingo Suzuki , Kei-ichi Maeda

The innermost stable circular orbit (ISCO) offers a fundamental test of spacetime structure. However, its behavior in higher-dimensional black holes influenced by anisotropic energy-momentum tensors remains insufficiently explored. In this…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Hocheol Lee , Bogeun Gwak

We study linear nonradial perturbations and stability of a marginal stable circular orbit (MSCO) such as the innermost stable circular orbit (ISCO) of a test particle in stationary axisymmetric spacetimes which possess a reflection symmetry…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Toshiaki Ono , Tomohito Suzuki , Hideki Asada

It has recently been proposed that the accreting collapsed object GRO J1655--40 could contain a non-zero gravitomagnetic monopole, and hence could be better described with the more general Kerr-Taub-NUT (KTN) spacetime, instead of the Kerr…

High Energy Astrophysical Phenomena · Physics 2019-05-22 Chandrachur Chakraborty , Sudip Bhattacharyya

We investigate the innermost stable circular orbit (ISCO) of a test particle moving on the equatorial plane around rotating relativistic stars such as neutron stars. First, we derive approximate analytic formulas for the angular velocity…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Masaru Shibata , Misao Sasaki

We compute the principal Lyapunov exponent and Kolmogorov-Sinai(KS) entropy for Kerr-Newman black hole space-times and investigate the stability and instability of the equatorial circular geodesics via these exponents. We also show that the…

General Relativity and Quantum Cosmology · Physics 2012-12-27 Partha Pratim Pradhan

In this article we study the innermost stable circular orbit (ISCO) of electrically charged particles in the electrically charged Reissner-Nordstr\"om spacetime, the Kerr-Newman spacetime and the Kerr-Sen spacetime. We find that the radius…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Kris Schroven , Saskia Grunau

We study a marginally stable circular orbit (MSCO) such as the innermost stable circular orbit (ISCO) of a timelike geodesic in any spherically symmetric and static spacetime. It turns out that the metric components are separable from the…

General Relativity and Quantum Cosmology · Physics 2015-08-04 Toshiaki Ono , Tomohito Suzuki , Naomasa Fushimi , Kei Yamada , Hideki Asada

A full-relativistic approach is used to compute the radius of the innermost stable circular orbit (ISCO), the Keplerian, frame-dragging, precession and oscillation frequencies of the radial and vertical motions of neutral test particles…

Solar and Stellar Astrophysics · Physics 2014-01-14 Andres F. Gutierrez-Ruiz , Cesar A. Valenzuela-Toledo , Leonardo A. Pachon

Exact calculations of innermost stable circular orbit (ISCO) around rotating strange stars are performed within the framework of general relativity. Equations of state (EOS) of strange quark matter based on the MIT Bag Model with massive…

Astrophysics · Physics 2010-11-19 J. L. Zdunik , P. Haensel , D. Gondek-Rosinska , E. Gourgoulhon

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

We determine the innermost stable circular orbit (ISCO) of binary neutron stars (BNSs) by performing dynamical simulations in full general relativity. Evolving quasiequilibrium (QE) binaries that begin at different separations, we bracket…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Pedro Marronetti , Matthew D. Duez , Stuart L. Shapiro , Thomas W. Baumgarte

We consider the motion of classical spinning test particles in Schwarzschild and Kerr metrics and investigate innermost stable circular orbits (ISCO). The main goal of this work is to find analytically the small-spin corrections for the…

General Relativity and Quantum Cosmology · Physics 2015-05-25 Paul I. Jefremov , Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan

The motion of classical spinning test particles in the equatorial plane of a Kerr black hole is considered for the case where the particle spin is perpendicular to the equatorial plane. We review some results of our recent research of the…

General Relativity and Quantum Cosmology · Physics 2016-05-16 O. Yu. Tsupko , G. S. Bisnovatyi-Kogan , P. I. Jefremov

We study the innermost stable circular orbit (ISCO) of a test particle around rapidly rotating neutron stars. Based on 12 different nuclear-matter equations of state (EOS), we find numerically two approximately EOS-insensitive universal…

High Energy Astrophysical Phenomena · Physics 2018-07-25 Shun-Sun Luk , Lap-Ming Lin

Newtonian point mass binaries can be brought into arbitrarily close circular orbits. Neutron stars and black holes, however, are extended, relativistic objects. Both finite size and relativistic effects make very close orbits unstable, so…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Thomas W. Baumgarte

In this paper, we studied the evolutions of the innermost stable circular orbits (ISCOs) in dynamical spacetimes. At first, we reviewed the method to obtain the ISCO in Schwarzschild spacetime by varying its conserved orbital angular…

General Relativity and Quantum Cosmology · Physics 2022-08-09 Yong Song

The innermost stable cicular orbit (ISCO) of an accretion disc orbiting a neutron star (NS) is often assumed a unique prediction of general relativity. However, it has been argued that ISCO also appears around highly elliptic bodies…

High Energy Astrophysical Phenomena · Physics 2014-05-08 G. Torok , M. Urbanec , K. Adamek , G. Urbancova

We study the geodesic motion of massive and massless test particles in the background of equally spinning Myers-Perry-anti-de Sitter (AdS) black holes in five dimensions. By adopting a coordinate system that makes manifest the…

General Relativity and Quantum Cosmology · Physics 2015-10-21 Térence Delsate , Jorge V. Rocha , Raphael Santarelli
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