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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…

广义相对论与量子宇宙学 · 物理学 2012-12-27 Partha Pratim Pradhan

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…

广义相对论与量子宇宙学 · 物理学 2024-04-30 Yu-Chung Ko , Da-Shin Lee , Chi-Yong Lin

In the current study, the existence of periodic orbits around a fixed homogeneous cube is investigated, and the results have powerful implications for examining periodic orbits around non-spherical celestial bodies. In the two different…

地球与行星天体物理 · 物理学 2011-08-25 Xiaodong Liu , Hexi Baoyin , Xingrui Ma

A special class of orbits known to exist around a Kerr black hole are spherical orbits -- orbits with constant coordinate radii that are not necessarily confined to the equatorial plane. Spherical time-like orbits were first studied by…

广义相对论与量子宇宙学 · 物理学 2021-01-21 Edward Teo

This paper formulates, via the Mathisson - Papapetrou - Dixon equations, the system of equations for a test particle with spin when it is orbiting a weak Kerr metric. We shall restrict ourselves to the case of circular orbits with the…

地球与行星天体物理 · 物理学 2016-09-14 Nelson Velandia , Juan Manuel Tejeiro

We study non-geodesic orbits of test particles endowed with a structure, assuming the Schwarzschild spacetime as background. We develop a formalism which allows one to recognize the geometrical characterization of those orbits in terms of…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Donato Bini , Fernando de Felice , Andrea Geralico

We study the motion of spinning test particles in Kerr spacetime using the Mathisson-Papapetrou equations; we impose different supplementary conditions among the well known Corinaldesi-Papapetrou, Pirani and Tulczyjew's and analyze their…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Donato Bini , Fernando de Felice , Andrea Geralico

We study the effect of ultra-high energy particles collisions near the black hole horizon (BSW effect) for two scenarios: when one of particle either (i) moves on a circular orbit or (ii) plunges from it towards the horizon. It is shown…

广义相对论与量子宇宙学 · 物理学 2015-06-03 O. B. Zaslavskii

We provide a systematic analysis of the multipolar gravitational waveform, energy and angular momentum fluxes emitted by a nonspinning test particle orbiting a Kerr black hole along equatorial, eccentric orbits. These quantities are…

广义相对论与量子宇宙学 · 物理学 2022-03-31 Simone Albanesi , Alessandro Nagar , Sebastiano Bernuzzi

We construct a closed-form, fully analytical 4-metric that approximately represents the spacetime evolution of non-precessing, spinning black hole binaries from infinite separations up to a few orbits prior to merger. We employ the…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Louis Gallouin , Hiroyuki Nakano , Nicolas Yunes , Manuela Campanelli

The post-Newtonian orbital effects induced by the mass quadrupole and spin octupole moments of an isolated, oblate spheroid of constant density that is rigidly and uniformly rotating on the motion of a test particle are analytically worked…

广义相对论与量子宇宙学 · 物理学 2024-01-31 Lorenzo Iorio

One of the primary aims of upcoming space-borne gravitational wave detectors is to measure radiation in the mHz range from extreme-mass-ratio inspirals. Such a detection would place strong constraints on hypothetical departures from a Kerr…

广义相对论与量子宇宙学 · 物理学 2020-09-17 Kyriakos Destounis , Arthur G. Suvorov , Kostas D. Kokkotas

Using an effective potential method we examine binary black holes where the individual holes carry spin. We trace out sequences of quasi-circular orbits and locate the innermost stable circular orbit as a function of spin. At large…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Harald P. Pfeiffer , Saul A. Teukolsky , Gregory B. Cook

The non-equatorial spherical null geodesics of rotating Kerr black holes are studied analytically. Unlike the extensively studied equatorial circular orbits whose radii are known analytically, no closed-form formula exists in the literature…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Shahar Hod

Gravitational radiation of binary systems can be studied by using the adiabatic approximation in General Relativity. In this approach a small astrophysical object follows a trajectory consisting of a chained series of bounded geodesics…

广义相对论与量子宇宙学 · 物理学 2008-11-26 F. Fayos , Ch. Teijon-Lumbreras

During the last few decades, there has been a growing interest in exact solutions of Einstein equations describing razor-thin disks. Despite the progress in the area, the analytical study of geodesic motion crossing the disk plane in these…

广义相对论与量子宇宙学 · 物理学 2016-11-09 Ronaldo S. S. Vieira , Javier Ramos-Caro , Alberto Saa

We study the quasi-periodic oscillations from the accretion disk around rotating traversable wormholes by means of the resonance models. We investigate the linear stability of the circular geodesic orbits in the equatorial plane for a…

广义相对论与量子宇宙学 · 物理学 2021-07-28 Efthimia Deligianni , Jutta Kunz , Petya Nedkova , Stoytcho Yazadjiev , Radostina Zheleva

We study the motion of neutral and charged spinning bodies in curved space-time in the test-particle limit. We construct equations of motion using a closed covariant Poisson-Dirac bracket formulation which allows for different choices of…

广义相对论与量子宇宙学 · 物理学 2016-11-07 G. d'Ambrosi , S. Satish Kumar , J. van de Vis , J. W. van Holten

We explore the electromagnetic fields around a quasi-Kerr compact object assuming it is immersed in an external asymptotically uniform magnetic field. Using the Wald method, components of the electromagnetic field in orthonormal basis have…

广义相对论与量子宇宙学 · 物理学 2019-05-09 Bakhtiyor Narzilloev , Ahmadjon Abdujabbarov , Cosimo Bambi , Bobomurat Ahmedov

We present a procedure for determination of positions and orbital elements, and associated uncertainties, of outer Solar System planets. The orbit-fitting procedure is greatly streamlined compared to traditional methods because acceleration…

天体物理学 · 物理学 2009-10-31 G. Bernstein , B. Khushalani