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Shape and position of the shadow in the $\delta = 2$ Tomimatsu-Sato space-time

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arxiv 1004.3149 v3 pith:UWLFVHC6 submitted 2010-04-19 gr-qc astro-ph.HE

Cosimo Bambi , Naoki Yoshida This is my paper · ORCID
classification gr-qcastro-ph.HE
keywords deltashadowspace-timetomimatsu-satoableblackshapetest
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abstract

Within 5-10 years, very long baseline interferometry facilities will be able to observe the "shadow" of super-massive black hole candidates. This will allow, for the first time, to test gravity in the strong field regime. In this paper, we study numerically the photon orbits in the $\delta = 2$ Tomimatsu-Sato space-time. The $\delta = 2$ Tomimatsu-Sato space-time is a stationary, axisymmetric, and asymptotically flat exact solution of the vacuum Einstein equations. We compare the associated shadow with the one of Kerr black holes. The shape of the shadow in the $\delta = 2$ Tomimatsu-Sato space-time is oblate and the difference between the two axes can be as high as 6% when viewed on the equatorial plane. We argue that future space sub-mm interferometers (e.g. VSOP-3) may distinguish the two cases, and thus are able to test the Cosmic Censorship Conjecture.

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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. Determining parameters of Kerr-Newman black holes by shadow observation from finite distance and spatial infinity

    gr-qc 2024-11 conditional novelty 6.0 of 10

    The shadow contour of a Kerr-Newman black hole observed at infinity uniquely fixes (a/M, Q/M, i), while finite-distance shadows are degenerate for zero spin.

  2. On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows

    gr-qc 2024-11 conditional novelty 5.0 of 10

    The authors introduce two new regular black hole metrics from nonlinear electrodynamics and two Limiting Curvature Condition versions, with numerical results for stability, shadows, and quasinormal modes.

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