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Precise relativistic orbits in Kerr and Kerr–(anti) de Sitter spacetimes

https://doi.org/10.1088/0264-9381/21/19/016

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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The Theory of Jacobi Forms

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Rational Points on Elliptic Curves

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Measurement of the Cosmological Constant from Galactic Velocity Rotation Data

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Null geodesics in black hole metrics with non-zero cosmological constant

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Polar orbits in the Kerr space-time

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Sulla integrazione della equazione di Hamilton-Jacobi per separazione di variabili

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Ueber die Bewegung eines Punktes in einern-fachen Mannigfaltigkeit

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Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations

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An interpretation of the Kerr metric in general relativity

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A flat Universe from high-resolution maps of the cosmic microwave background radiation

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Into the heart of darkness

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A star in a 15.2-year orbit around the supermassive black hole at the centre of the Milky Way

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Near-infrared flares from accreting gas around the supermassive black hole at the Galactic Centre

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FR II radio galaxies with z < 0.3 -- II. Beaming and unification

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X-ray flares reveal mass and angular momentum of the Galactic Center black hole

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Maximal Analytic Extension of the Kerr Metric

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Rotating Black Holes: Locally Nonrotating Frames, Energy Extraction, and Scalar Synchrotron Radiation

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Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant

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Measurements of Ω and Λ from 42 High‐Redshift Supernovae

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Measuring the Black Hole Spin in Sagittarius A*

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Measuring the relativistic perigee advance with satellite laser ranging

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A critical approach to the concept of a polar, low-altitude LARES satellite

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General relativity, the cosmological constant and modular forms

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Standard clocks, orbital precession and the cosmological constant

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Compact calculation of the perihelion precession of Mercury in general relativity, the cosmological constant and Jacobi's inversion problem

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Global Structure of the Kerr Family of Gravitational Fields

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Generalized Wilkins effect and selected orbits in a Kerr-Newman geometry

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Bound Geodesics in the Kerr Metric

inferredcites →https://doi.org/10.1103/physrevd.59.064005openalex-snapshot

Rotation and the AdS-CFT correspondence

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Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics

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Possible Experiment with Two Counter-Orbiting Drag-Free Satellites to Obtain a New Test of Einstein's General Theory of Relativity and Improved Measurements in Geodesy

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Measurement of the Lense-Thirring drag on high-altitude, laser-ranged artificial satellites

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Cosmology from MAXIMA-1, BOOMERANG, and COBE DMR Cosmic Microwave Background Observations

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The Cosmic Triangle: Revealing the State of the Universe

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Recherches sur les fonctions elliptiques. (Suite du mémoire Nr. 12. tom. II. cah. 2 de ce journal).

inferredcites →https://doi.org/10.1515/crll.1828.3.313openalex-snapshot

Remarques sur quelques propriétés générales d'une certaine sorte de fonctions transcendantes.

inferredcites →https://doi.org/10.1515/crll.1832.9.394openalex-snapshot

Considerationes generales de transcendentibus Abelianis.

inferredcites →https://doi.org/10.1515/crll.1835.13.55openalex-snapshot

De functionibus duarum variabilium quadrupliciter periodicis, quibus theoria transcendentium Abelianarum innititur.

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De transformatione expressionis in formam simpliciorem , adhibita substitutione .

inferredcites →https://doi.org/10.1515/crll.1847.35.277openalex-snapshot

Theoriae transcendentium Abelianarum primi ordinis adumbratio levis.

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Auszug mehrerer Schreiben des Dr. Rosenhain an Herrn Professor Jacobi über die hyperelliptischen Transcendenten.

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Zur Theorie der Abelschen Functionen.

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Theorie der Abel'schen Functionen.

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Modular Elliptic Curves and Fermat's Last Theorem

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Time-like geodesic structure in massive gravity

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Spherical orbits around a Kerr black hole

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Regularity of a double null coordinate system for Kerr–Newman–de Sitter spacetimes

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INCLINATION-DEPENDENT ACTIVE GALACTIC NUCLEUS FLUX PROFILES FROM STRONG LENSING OF THE KERR SPACETIME

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Relativistic thick discs in the Kerr–de Sitter backgrounds

inferred← citeshttps://doi.org/10.1088/0264-9381/22/21/001openalex-snapshot

Frame dragging and bending of light in Kerr and Kerr–(anti) de Sitter spacetimes

inferred← citeshttps://doi.org/10.1088/0264-9381/22/6/016openalex-snapshot

The geodesic structure of the Schwarzschild anti-de Sitter black hole

inferred← citeshttps://doi.org/10.1088/0264-9381/24/7/007openalex-snapshot

Periapsis and gravitomagnetic precessions of stellar orbits in Kerr and Kerr–de Sitter black hole spacetimes

inferred← citeshttps://doi.org/10.1088/0264-9381/26/21/215013openalex-snapshot

Pseudo-Newtonian and general relativistic barotropic tori in Schwarzschild–de Sitter spacetimes

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Scalar–tensor propagation of light in the inner solar system including relevant c −4 contributions for ranging and time transfer

inferred← citeshttps://doi.org/10.1088/0264-9381/31/7/075006openalex-snapshot

Strong gravity Lense–Thirring precession in Kerr and Kerr–Taub–NUT spacetimes

inferred← citeshttps://doi.org/10.1088/1361-6382/ab004copenalex-snapshot

Astrophysically relevant bound trajectories around a Kerr black hole

inferred← citeshttps://doi.org/10.1088/1361-6382/ab79d5openalex-snapshot

Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime

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Chaos in a generalized Euler’s three-body problem

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Influence of cosmological expansion in local experiments

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Kerr-fully diving into the abyss: analytic solutions to plunging geodesics in Kerr

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Influence of the cosmological constant on the motion of Magellanic Clouds in the gravitational field of Milky Way

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Determination of the angular momentum of the Kerr black hole from equatorial geodesic motion

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Time-like geodesic structure of a spherically symmetric black hole in the brane-world

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Geodesic equation in non-commutative gauge theory of gravity*

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Inferring a spinning black hole in an expanding universe via the S2 star around the galactic center*

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An analytic toy model for relativistic accretion in Kerr space–time

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Constants of motion in stationary axisymmetric gravitational fields

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Motion of charged particles around a scalarized black hole in Kaluza-Klein theory

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Precisely computing bound orbits of spinning bodies around black holes. I. General framework and results for nearly equatorial orbits

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Precisely computing bound orbits of spinning bodies around black holes. II. Generic orbits

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Test particle motion along equatorial circular orbits in the revisited Kerr–de Sitter spacetime

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Geodesic equation in Schwarzschild-(anti-)de Sitter space-times: Analytical solutions and applications

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Analytical solution of the geodesic equation in Kerr-(anti-) de Sitter space-times

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Test particle motion in the space-time of a Kerr black hole pierced by a cosmic string

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Current-carrying string loops in black-hole spacetimes with a repulsive cosmological constant

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Local effects of a cosmological constant

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Light paths of normal and phantom Einstein-Maxwell-dilaton black holes

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Dynamics of test particles in the general five-dimensional Myers-Perry spacetime

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Newtonian analogue of Schwarzschild–de Sitter spacetime: Influence on the local kinematics in galaxies

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Geodesic equations in the static and rotating dilaton black holes: Analytical solutions and applications

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Detailed study of geodesics in the Kerr-Newman-(A)dS spacetime and the rotating charged black hole spacetime in f(R) gravity

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General relativistic polytropes with a repulsive cosmological constant

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Kerr-Newman-AdS black hole in quintessential dark energy

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Geodesic motion in the five-dimensional Myers-Perry-AdS spacetime

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Complete Analytic Solution of the Geodesic Equation in Schwarzschild–(Anti-)de Sitter Spacetimes

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Particle Accelerators inside Spinning Black Holes

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Measuring the Perigee Advance of an Artificial Satellite under the Angular Momentum and Earth’s Electromagnetic Field Influence

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Gravitational Redshift Observed from a Kerr Body with Spatial Resolution on the Surface

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The golden ratio in Schwarzschild–Kottler black holes

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Photon motion in Kerr–de Sitter spacetimes

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Light escape cones in local reference frames of Kerr–de Sitter black hole spacetimes and related black hole shadows

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Scalar perturbations and quasi-normal modes of a nonlinear magnetic-charged black hole surrounded by quintessence

inferred← citeshttps://doi.org/10.1140/epjc/s10052-020-8142-0openalex-snapshot

Equatorial circular orbits in Kerr–Newman–de Sitter spacetimes

inferred← citeshttps://doi.org/10.1140/epjc/s10052-021-08911-5openalex-snapshot

Gravitational redshift/blueshift of light emitted by geodesic test particles, frame-dragging and pericentre-shift effects, in the Kerr–Newman–de Sitter and Kerr–Newman black hole geometries

inferred← citeshttps://doi.org/10.1140/epjc/s10052-021-09787-1openalex-snapshot

Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma

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Study of null and time-like geodesics in the exterior of a Schwarzschild black hole with quintessence and cloud of strings

inferred← citeshttps://doi.org/10.1140/epjc/s10052-022-10902-zopenalex-snapshot

Neutrino flavor oscillations in a rotating spacetime

inferred← citeshttps://doi.org/10.1140/epjc/s10052-025-14660-6openalex-snapshot

Circular motion and collisions of charged spinning test particles around magnetized Schwarzschild black hole

inferred← citeshttps://doi.org/10.1140/epjc/s10052-025-14974-5openalex-snapshot

Spin effects on charged particle motion in magnetized Reissner–Nordström spacetime

inferred← citeshttps://doi.org/10.1140/epjp/i2017-11373-4openalex-snapshot

Rotating black hole solutions with quintessential energy

inferred← citeshttps://doi.org/10.1140/epjp/i2017-11596-3openalex-snapshot

Slowly decaying resonances of massive scalar fields around Schwarzschild-de Sitter black holes

inferred← citeshttps://doi.org/10.1140/epjp/s13360-024-05541-0openalex-snapshot

Light propagation around a Kerr-like black hole immersed in an inhomogeneous anisotropic plasma in Rastall gravity: analytical solutions to the equations of motion

inferred← citeshttps://doi.org/10.1142/s0217732311037261openalex-snapshot

MOTION OF CHARGED PARTICLES ON THE REISSNER–NORDSTRÖM (ANTI)-DE SITTER BLACK HOLE SPACETIME

inferred← citeshttps://doi.org/10.1142/s0217732325500609openalex-snapshot

Geodesic motion of a test particle around a noncommutative Schwarzchild Anti-de Sitter black hole

inferred← citeshttps://doi.org/10.1142/s0217732326501579openalex-snapshot

Comprehensive geodesic analysis of particle motion around a non-singular black hole

inferred← citeshttps://doi.org/10.1142/s0217751x19501239openalex-snapshot

Geodesic structure of the Clifton–Barrow black hole space–time

inferred← citeshttps://doi.org/10.1142/s0218271812500770openalex-snapshot

GEODESIC STRUCTURE OF TEST PARTICLE IN BARDEEN SPACETIME

inferred← citeshttps://doi.org/10.1142/s0218271817500511openalex-snapshot

Shadow of the rotating black hole with quintessential energy in the presence of plasma

inferred← citeshttps://doi.org/10.1142/s0218271817501693openalex-snapshot

The geodesics structure of Schwarzschild black hole immersed in an electromagnetic universe

inferred← citeshttps://doi.org/10.1142/s0218271822500663openalex-snapshot

Null geodesics and shadow of 4D Einstein–Gauss–Bonnet black holes surrounded by quintessence

inferred← citeshttps://doi.org/10.1142/s0219887821501887openalex-snapshot

Cosmological constant effect on charged and rotating black hole shadows

inferred← citeshttps://doi.org/10.3390/math10121958openalex-snapshot

Hyperelliptic Functions and Motion in General Relativity

inferred← citeshttps://doi.org/10.3390/math13081286openalex-snapshot

New Applications of Elliptic Functions and Integrals in GPS Inter-Satellite Communications with Account of General Relativity Theory

inferred← citeshttps://doi.org/10.3390/sym15081485openalex-snapshot

Spherical Particle Orbits around a Rotating Black Hole in Massive Gravity

inferred← citeshttps://doi.org/10.3390/universe10030133openalex-snapshot

Analysis of the Geodesic Motions of Massive Particles in Kerr–Sen–AdS4 Spacetime

inferred← citeshttps://doi.org/10.4236/jhepgc.2023.93066openalex-snapshot

Spherical and Circular Non-Equatorial Photon Orbits around Kerr Black Holes

inferred← citeshttps://doi.org/10.4236/jhepgc.2026.124105openalex-snapshot

Equatorial Circular and Spherical Photon Orbits around Kerr-Type Black Holes in Expanding Universe

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