Observables for bound orbital motion in axially symmetric space-times

Hackmann, Eva; Lämmerzahl, Claus

doi:10.48550/arxiv.1107.5250

Cited by 2 publications

(2 citation statements)

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“…the light deflection for escape orbits, the perihelion shift for bound orbits or the Lense-Thirring effect. We will follow along the lines of [17,46,47] to calculate these effects.…”

Section: Observablesmentioning

confidence: 99%

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

et al. 2014

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We present the complete set of analytical solutions of the geodesic equation in the general fivedimensional Myers-Perry spacetime in terms of the Weierstrass ℘-, ζ-and σ-functions. We analyze the underlying polynomials in the polar and radial equations, which depend on the parameters of the metric and the conserved quantities of a test particle, and characterize the motion by their zeros. We exemplify the efficiency of the analytical method on the basis of the explicit construction of test particle orbits and by addressing observables in this spacetime.

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“…the light deflection for escape orbits, the perihelion shift for bound orbits or the Lense-Thirring effect. We will follow along the lines of [17,46,47] to calculate these effects.…”

Section: Observablesmentioning

confidence: 99%

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

et al. 2014

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“…For example, there exists no curvature singularity but conical singularities on its axis of symmetry, which is caused by the gravitomagnetic analogue of Dirac's string quantization condition [50]. Furthermore, the influences of the NUT charge or gravitomagnetic mass n on the spacetime structure, thermodynamics and geodesic equations, as well as the particles collision were studied in [51][52][53][54][55][56][57][58][59].…”

Section: Introductionmentioning

confidence: 99%

Strong field limit analysis of gravitational lensing in Kerr-Taub-NUT spacetime

Wei¹,

Liu²,

Fu³

et al. 2012

J. Cosmol. Astropart. Phys.

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In this paper, we investigate the strong gravitational lensing by the stationary, axially-symmetric black hole in Kerr-Taub-NUT spacetime in the strong field limit. The deflection angle of light ray and other strong deflection limit coefficients are obtained numerically and they are found to be closely dependent on the NUT charge n and spin a. The magnification and the positions of the relativistic images are computed. The caustics are studied and the results show that these caustics drift away from the optical axis, which is quite different from the Schwarzschild black hole case. Moreover, the intersections of the critical curves on the equatorial plane are obtained and it is shown that they increase with the NUT charge. These results show that there is a significant effect of the NUT charge on the strong gravitational lensing.

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Observables for bound orbital motion in axially symmetric space-times

Cited by 2 publications

References 0 publications

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

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

Strong field limit analysis of gravitational lensing in Kerr-Taub-NUT spacetime

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