Null geodesics and shadow of a rotating black hole in extended Chern-Simons modified gravity

By L. Amarilla, Ernesto F. Eiroa, G. Giribet. 2010

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The Chern-Simons modification to general relativity in four dimensions consists of adding to the Einstein-Hilbert term a scalar field that couples to the first-class Pontryagin density. In this theory, which has attracted considerable attention recently, the Schwarzschild metric persists as an exact solution, and this is why this model resists several observational constraints. In contrast, the spinning black hole solution of the theory is not given by the Kerr metric but by a modification of it, so far only known for slow rotation and small coupling constant. In the present paper, we show that, in this approximation, the null geodesic equation can be integrated, and this allows us to investigate the shadow cast by a black hole. We discuss how, in addition to the angular momentum of the solution, the coupling to the Chern-Simons term deforms the shape of the shadow.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e9b950ac25ad3e9ebfec31e9c914acd0cac806fa

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Citations in the corpus

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).”
Imaging a boson star at the Galactic center (2015, background): “Many articles have investigated whether alternative compact objects exhibit differences with respect to Kerr predictions (Bambi & Freese 2009; Johannsen & Psaltis 2010; Amarilla et al. 2010; Amarilla & Eiroa 2013; Vincent 2014; Moffat 2015; Cunha et al. 2015).”
Testing black hole candidates with electromagnetic radiation (2015, methodology): “…the Kerr metric with the detection of a shadow and to calculate the shadows of non-Kerr BHs (Abdujabbarov et 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…”
A coordinate-independent characterization of a black hole shadow (2015, background): “…in known space-times, either within general relativity (Young 1976; Perlick 2004; Abdujabbarov et al. 2013), or within alternative theories of gravity (Bambi & Modesto 2013; Tsukamoto et al. 2014; Amarilla et al. 2010; Amarilla & Eiroa 2012, 2013; Atamurotov et al. 2013a,b; Schee & Stuchlı́k 2009).”
Black Hole Parameter Estimation from Its Shadow (2018, methodology): “…observables, namely shadow radius and distortion parameter, were extensively used in the characterization of black holes shadows (De Vries 2000; Amarilla et al. 2010; Amarilla & Eiroa 2012, 2013; Papnoi et al. 2014; Abdujabbarov et al. 2015a, 2016; Amir & Ghosh 2016; Amir et al. 2018; Eiroa &…”