Null geodesics and shadow of 4$D$ Einstein-Gauss-Bonnet black holes surrounded by quintessence

Abstract

We study the properties of the null geodesics of four-dimensional Einstein-Gauss-Bonnet black holes surrounded by quintessence matter. Due to the quintessence correction, we discuss the radial and non-radial geodesics. For the case of non-radial geodesics we obtain the effective potential, the photon sphere and the impact parameter associated to the null geodesics in details. We analyze the different possible orbits of massless particles (i.e. photons) such as unstable circular orbits and unbounded orbits and investigate the role of the Gauss-Bonnet coupling $\alpha$ and the quintessence parameter $q$ on the null geodesic trajectories. Moreover, we also study the effects of the model parameters on the shadow cast by theses black holes. The results are compared with the Schwarzschild black hole with and without quintessence matter and four-dimensional Einstein-Gauss-Bonnet black holes without quintessence. As a physical application of the null geodesics, the deflection angle is calculated and the effect of the quintessence matter on it is investigated.

21pages, 15 figures, references added

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Cited by in corpus (10)

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• On null geodesics and shadow of hairy black holes in Einstein-Maxwell-dilaton gravity
• Absorption, scattering and shadow by a noncommutative black hole with global monopole
• Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence
• Shadows and photon rings of a spherically accreting Kehagias-Sfetsos black hole
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• Galactic black hole immersed in a dark halo with its surrounding thin accretion disk
• Eikonal quasinormal modes, photon sphere and shadow of a charged black hole in the 4D Einstein-Gauss-Bonnet gravity
• Scattering and absorption by extra-dimensional black holes with GUP
• Geodesic dynamics in brane-de Sitter wormholes