Gravitational lensing by black holes in the 4D Einstein-Gauss-Bonnet gravity
By Shafqat Ul Islam, Rahul Kumar, Sushant G. Ghosh. Journal of Cosmology and Astroparticle Physics, 2020
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Recently, a non-trivial 4D Einstein-Gauss-Bonnet (EGB) theory of gravity, by rescaling the GB coupling parameter as α/(D−4), was formulated in [1], which bypasses Lovelock's theorem and avoids Ostrogradsky instability. The theory admits a static spherically symmetric black hole, unlike 5D EGB or general relativity counterpart, which can have both Cauchy and event horizons. We generalize previous work, on gravitational lensing by a Schwarzschild black hole, in the strong and weak deflection limits to the 4D EGB black holes to calculate the deflection coefficients ā and b̄, while former increases and later decrease with increasing α. We also find that the deflection angle αD, angular position θ∞ and um decreases, but angular separation s increases with α. The effect of the GB coupling parameter α on positions and magnification of the source relativistic images is discussed in the context of SgrA* and M87* black holes. A brief description of the weak gravitational lensing using the Gauss-Bonnet theorem is presented.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/165b2c0de3b4eba44fca9ae2b7ef0ebee2160042
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Citations in the corpus
- Shadows and photon spheres with spherical accretions in the four-dimensional Gauss–Bonnet black hole (2020, background): “In particular, gravitational lensing in ordinary medium [46] and homogeneous plasma [47] by black holes in four-dimensional Gauss-Bonnet gravity have been explored.”