Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

# 4D Einstein - Gauss - Bonnet Gravity with Nonlinear Electrodynamics: Entropy, Energy Emission, Quasinormal Modes and Deflection Angle

Version 1 : Received: 21 March 2021 / Approved: 23 March 2021 / Online: 23 March 2021 (12:35:41 CET)
Version 2 : Received: 6 April 2021 / Approved: 12 April 2021 / Online: 12 April 2021 (12:11:51 CEST)

How to cite: Kruglov, S. 4D Einstein - Gauss - Bonnet Gravity with Nonlinear Electrodynamics: Entropy, Energy Emission, Quasinormal Modes and Deflection Angle. Preprints 2021, 2021030566 (doi: 10.20944/preprints202103.0566.v2). Kruglov, S. 4D Einstein - Gauss - Bonnet Gravity with Nonlinear Electrodynamics: Entropy, Energy Emission, Quasinormal Modes and Deflection Angle. Preprints 2021, 2021030566 (doi: 10.20944/preprints202103.0566.v2).

## Abstract

The logarithmic correction to Bekenshtein$-$Hawking entropy in the framework of 4D Einstein - Gauss - Bonnet gravity coupled with nonlinear electrodynamics is obtained. We explore the black hole solution with the spherically symmetric metric. The logarithmic term in the entropy has a structure similar to the entropy correction in the semi-classical Einstein equations which mimics the quantum correction to the area low. The energy emission rate of black holes and energy conditions are studied. The quasinormal modes of a test scalar field are investigated. The gravitational lensing of light around BHs was studied. We calculated the deflection angle for some model parameters.

## Subject Areas

Einstein - Gauss - Bonnet gravity; nonlinear electrodynamics; entropy; energy emission; quasinormal modes; deflection angle

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