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In this paper, we investigate black hole solutions in Einstein-Kalb-Ramond (EKR) bumblebee gravity sourced by a global monopole characterized by the charge $\eta$. This modified theory of gravity possesses the notable feature of…

General Relativity and Quantum Cosmology · Physics 2025-06-17 F. M. Belchior , R. V. Maluf , A. Yu. Petrov , P. J. Porfírio

We explored how the Lorentz symmetry breaking parameter $\ell$ affects the Reissner-Nordst\"{o}m BH solution in the context of weak field deflection angle, and the black hole shadow. We aim to derive the general expression for the weak…

General Relativity and Quantum Cosmology · Physics 2025-03-17 Gaetano Lambiase , Reggie C. Pantig , Ali Övgün

We re-derive an exact analytic three-parameter expressions for the non-rotating metric, describing a Taub-NUT-like black hole (BH), and its associated bumblebee field that are solutions to the Einstein-bumblebee gravity. We construct a…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Mustapha Azreg-Aïnou , Yassine Sekhmani

We construct a charged rotating black hole in 4D Einstein-Gauss-Bonnet (EGB) gravity starting from charged black hole in 4D EGB gravity using complex coordinate transformations suggested by Newman-Janis. Further, we have studied the null…

General Relativity and Quantum Cosmology · Physics 2022-02-15 Uma Papnoi , Farruh Atamurotov

In regularized 4-dimensional Einstein-Gauss-Bonnet (EGB) gravity derived from a Kaluza-Klein reduction of higher-dimensional EGB theory, we study the existence and stability of black hole (BH) solutions on a static and spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2022-08-02 Shinji Tsujikawa

Recently, several methods have been proposed to regularize a $D \to 4$ limit of Einstein-Gauss-Bonnet (EGB), leading to nontrivial gravitational dynamics in $4D$. We present an exact nonsingular black hole solution in the $4D$ EGB gravity…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Arun Kumar , Dharmanand Baboolal , Sushant G. Ghosh

Low energy limits of string theory indicated that the standard gravity action should be modified to include higher-order curvature terms, in the form of dimensionally continued Gauss-Bonnet densities. If one includes only quadratic…

General Relativity and Quantum Cosmology · Physics 2021-02-18 Sushant G. Ghosh , Sunil D. Maharaj

In this paper, we consider black holes in the consistent Aoki-Gorji-Mukohyama theory of the four-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity in the presence of Born-Infeld (BI) nonlinear electrodynamics. We study several optical…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Khadije Jafarzade , Mahdi Kord Zangeneh , Francisco S. N. Lobo

In this work, we present black hole solutions with a cosmological constant in bumblebee gravity, which provides a mechanism for the Lorentz symmetry violation by assuming a nonzero vacuum expectation value for the bumblebee field. From the…

General Relativity and Quantum Cosmology · Physics 2021-02-02 R. V. Maluf , Juliano C. S. Neves

In this paper we study Einstein-bumblebee gravity theory minimally coupled with external matter -- a phantom/non-phantom(conventional) scalar field, and derive a series of hairy solutions -- bumblebee-phantom(BP) and BP-dS/AdS black hole…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Chikun Ding , Changqing Liu , Yuehua Xiao , Jun Chen

An alternative theory of gravity that has attracted much attention recently is the novel four-dimensional Einstein-Gauss-Bonnet (4D EGB) gravity. The theory is rescaled by the Gauss-Bonnet (GB) coupling constant $\alpha \rightarrow…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Khadije Jafarzade , Mahdi Kord Zangeneh , Francisco S. N. Lobo

Recently it has been shown that the Einstein-Gauss-Bonnet (EGB) gravity, by rescaling the coupling constant as $\alpha/(D-4)$ and taking the limit $D \rightarrow 4$ at the level of the equations of motion, becomes nontrivially ghost-free in…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Dharm Veer Singh , Sushant G. Ghosh , Sunil D. Maharaj

A novel four-dimensional Einstein-Gauss-Bonnet gravity was formulated by D. Glavan and C. Lin [Phys. Rev. Lett. 124, 081301 (2020)], which is intended to bypass the Lovelock's theorem and to yield a non-trivial contribution to the…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Ke Yang , Bao-Min Gu , Shao-Wen Wei , Yu-Xiao Liu

The direct imaging of black holes by the Event Horizon Telescope (EHT) enables strong-field tests of gravity. We study the cosmological evolution and the black-hole shadow radius in 4D Einstein-Gauss-Bonnet (EGB) gravity coupled to…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-12 Xiang-Qian Li , Hao-Peng Yan , Xiao-Jun Yue

Recently, a novel $4D$ Einstein-Gauss-Bonnet (EGB) gravity was formulated and a spherically symmetric black hole solution in this theory was derived by D. Glavan and C. Lin \cite{Glavan:2019inb}. In this paper, we study the geodesic motions…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Minyong Guo , Peng-Cheng Li

Recently a non-trivial 4-dimensional theory of gravity that claims to circumvent Lovelock's theorem and avoid Ostrogradsky instability was formulated in [D. Glavan and C. Lin, Phys. Rev. Lett. 124, 081301 (2020)]. This theory, named "$4D$…

General Relativity and Quantum Cosmology · Physics 2020-05-14 Pedro G. S. Fernandes

In this paper, we investigate the photon regions, shadow, and observational constraints of a Kerr-Newman-like black hole in Bumblebee gravity within a plasma medium. By employing a specific non-homogeneous power-law plasma model to ensure…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Jian-Peng Zhang , Yu Zhang , Li Han

We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions of vanishing metrical length [1]. In absence of torsion, the effective field equations depend only on the…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Sandipan Sengupta

In recent times there is a surge of interest in constructing Einstein-Gauss-Bonnet (EGB) gravity, in the limit $D \to 4 $, of the $D$-dimensional EGB gravity. Interestingly, the static spherically symmetric solutions in the various proposed…

General Relativity and Quantum Cosmology · Physics 2020-10-20 Sushant G. Ghosh , Rahul Kumar

According to the celebrated singularity theorems, space-time singularities in general relativity are inevitable. However, it is generally believed that singularities do not exist in nature, and their existence suggests the necessity of a…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Carlos A. Benavides-Gallego , Swarnim Shashank , Haiguang Xu