Shape and position of the shadow in the δ = 2 Tomimatsu–Sato spacetime

By Cosimo Bambi, Naoki Yoshida. 2010

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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 us, for the first time, to test gravity in the strong field regime. In this paper, we numerically study the photon orbits in the δ = 2 Tomimatsu–Sato spacetime. The δ = 2 Tomimatsu–Sato spacetime 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 δ = 2 Tomimatsu–Sato spacetime 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/bce4a708168506e75ab2901c955f816844fbb29a

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Citations in the corpus

TESTING THE NO-HAIR THEOREM WITH EVENT HORIZON TELESCOPE OBSERVATIONS OF SAGITTARIUS A* (2013, background): “Similar asymmetries are present for compact objects within the context of a variety of alternative gravity theories (see, e.g., Bambi & Yoshida 2010; Amarilla et al. 2010; Bambi et al. 2012; Amarilla & Eiroa 2012).”
Shadows and deflection angle of charged and slowly rotating black holes in Einstein-Æther theory (2019, background): “Some notable results of black hole shadows are already discussed in the literature, to list a few: Schwarzschild black hole surrounded by a Bach-Weyl ring [6]; Einstein-dilaton-GaussBonnet black hole [7]; Konoplya-Zhidenko or more general parameterized black holes [8, 9]; Einstein-MaxwellChern-Simon”
Testing black hole candidates with electromagnetic radiation (2015, unknown): “…al., 2013; Amarilla & Eiroa, 2012, 2013; Amarilla et al., 2010; Atamurotov et al., 2013a,b; Bambi, 2013f; Bambi et al., 2012; Bambi & Freese, 2009; Bambi & Yoshida, 2010; Ghasemi-Nodehi et al., 2015; Johannsen & Psaltis, 2010; Li & Bambi, 2014a; Schee & Stuchĺık, 2009; Tsukamoto et al., 2014;…”
PHOTON RINGS AROUND KERR AND KERR-LIKE BLACK HOLES (2013, background): “Images of photon rings and accretion flows around black holes and some exotic objects in other theories of gravity were also analyzed by Bambi & Yoshida (2010), Amarilla et al. (2010), Bambi et al. (2012), Amarilla & Eiroa (2012), and Bambi (2013b).”
A coordinate-independent characterization of a black hole shadow (2015, methodology): “A way to measure this deformation was first suggested by Hioki & Maeda (2009) and then further developed by other authors (Bambi & Freese 2009; Bambi & Yoshida 2010; Bambi & Modesto 2013).”