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Equatorial Circular Geodesics in the Hartle-Thorne Spacetime

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arxiv 1306.4792 v1 pith:VN4HYKAI submitted 2013-06-20 gr-qc

classification gr-qc
keywords hartle-thorneaccuracybodycircularequationsequatorialfieldgeodesics
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We investigate the influence of the quadrupole moment of a rotating source on the motion of a test particle in the strong field regime. For this purpose the Hartle-Thorne metric, that is an approximate solution of vacuum Einstein field equations that describes the exterior of any slowly rotating, stationary and axially symmetric body, is used. The metric is given with accuracy up to the second order terms in the body's angular momentum, and first order terms in its quadrupole moment. We give, with the same accuracy, analytic equations for equatorial circular geodesics in the Hartle-Thorne spacetime and integrate them numerically.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Shirokov and Shapiro Effects in the Hartle-Thorne Spacetime

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    In the Hartle-Thorne metric, angular momentum J and quadrupole moment Q couple radial and azimuthal oscillations in the Shirokov effect and alter Shapiro time delay, with oblate shapes increasing delay and frame-dragg...

  2. Stability Analysis of Circular Geodesics in Dyonic Dilatonic Black Hole Spacetimes

    gr-qc 2024-11 conditional novelty 4.0 of 10

    A proof that dyonic-like dilatonic black holes have a unique innermost stable circular orbit, plus explicit ISCO formulas for selected values of the dilaton coupling parameter.

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