Bending of light in novel 4D Gauss-Bonnet-de Sitter black holes by the Rindler-Ishak method

Heydari-Fard, Malihe; Sepangi, H. R.

doi:10.1209/0295-5075/133/50006

Cited by 28 publications

(10 citation statements)

References 100 publications

(70 reference statements)

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“…Figure 5 represents the relationship between the GFs of the second order of ã and the bumblebee parameters. The right figure is drawn for both the first order σ (ω) and second order σ (2) (ω); however, the left figure represents the GFs of the SRBBH together with the first and second orders of σ (ω), i.e., Equation (65). Again, it is obvious that the increase in the ell parameter decreases the GFs.…”

Section: Gfs Of Srbbh Spacetimementioning

confidence: 99%

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Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes

et al. 2023

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The ability of bumblebee gravity models to explain dark energy, which is the phenomenon responsible for the universe’s observed accelerated expansion, is one of their most significant applications. An effect that causes faster expansion can be linked to how much the Lorentz symmetry of our universe is violated. Moreover, since we do not know what generates dark energy, the bumblebee gravity theory seems highly plausible. By utilizing the physical changes happening around a rotating bumblebee black hole (RBBH), we aim to obtain more specific details about the bumblebee black hole’s spacetime and our universe. However, as researched in the literature, slow-spinning RBBH (SRBBH) spacetime, which has a higher accuracy, will be considered instead of general RBBH. To this end, we first employ the Rindler–Ishak method (RIM), which enables us to study how light is bent in the vicinity of a gravitational lens. We evaluate the deflection angle of null geodesics in the equatorial plane of the SRBBH spacetime. Then, we use astrophysical data to see the effect of the Lorentz symmetry breaking (LSB) parameter on the bending angle of light for numerous astrophysical stars and black holes. We also acquire the analytical greybody factors (GFs) and quasinormal modes (QNMs) of the SRBBH. Finally, we visualize and discuss the results obtained in the conclusion section.

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Section: Gfs Of Srbbh Spacetimementioning

confidence: 99%

“…The RIM also considers the effect of the black hole's rotation on the trajectory of light and calculates the amount of bending that occurs as a result. This method is widely used to study the properties of rotating black holes and has been applied to a variety of problems in astrophysics and cosmology [55,[57][58][59][60][61][62][63][64][65][66][67].…”

mentioning

confidence: 99%

Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes

et al. 2023

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“…The black hole stability and quasinormal modes are also widely discussed [27][28][29][30][31][32], and the rotating counter of the black holes obtained [33,34]. Investigation of relativistic star [35], derivation of regularised field equations [36], Morris-Thorne like wormholes [37], thermodynamics [38], gravitational lensing by a black hole [39][40][41], and generalisation to Lovelock gravity [42] were also explored.…”

Section: Introductionmentioning

confidence: 99%

Nonsingular black hole chemistry in $4D$ Einstein-Gauss-Bonnet gravity

Kumar,

Ghosh

2023

Preprint

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The EGB is an outcome of quadratic curvature corrections to the Einstein-Hilbert gravity action in the form of a Gauss-Bonnet (GB) term in D > 4 dimensions, and EGB gravity is topologically invariant in 4D. Several ways have been proposed for regularizing the D → 4 limit of EGB for non-trivial gravitational dynamics in 4D. Motivated by the importance of AdS/CFT, we obtain an exact static spherically symmetric nonsingular black hole in 4D EGB gravity coupled to the nonlinear electrodynamics (NED) in an AdS spacetime. We interpret the negative cosmological constant Λ as the positive pressure, via P = −Λ/8π, of the system's thermodynamic properties of the nonsingular black hole with an AdS background. We find that for P < Pc, the black holes with CP > 0 are stable to thermal fluctuations and unstable otherwise. We also analyzed the Gibbs free energy to find that the small globally unstable black holes undergo a phase transition to the large globally stable black holes. Further, we study the P − V criticality of the system and then calculate the critical exponents to find that our system behaves like Van der Walls fluid.

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“…The first step in this direction was taken by Glavan and Lin [14], who rescaled the Gauss-Bonnet coupling constant, α → α/(D − 4), which in the limit D → 4 cancels the vanishing contribution of the Gauss-Bonnet term. Consequently several works appear in the literature which includes formulation of cosmological solutions [15,16], spherical black hole solutions [17][18][19][20], solutions of star-like objects [21], radiating and collapsing solutions [22,23], extending to more higher-curvature Lovelock theories [24], thermodynamic behaviour of black holes in such theories [25][26][27][28] and the gravitational and physical properties of these objects [29][30][31][32][33][34][35][36][37][38][39][40]. Despite all these, the regularization scheme used in this novel four dimensional Einstein-Gauss-Bonnet (4D-EGB) theory [14] was found to be inconsistent on several grounds [41][42][43][44][45][46][47][48][49], which led to the development of different versions of regularized (consistent) 4D-EGB theories [16,[50][51][52][53]…”

Section: Introductionmentioning

confidence: 99%

Naked singularity in 4D Einstein-Gauss-Bonnet novel gravity: Echoes and (in)-stability

Chowdhury,

Devi,

Chakrabarti

2022

Preprint

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We study the stability of an asymptotically flat, static, spherically symmetric naked singularity spacetime in the novel four dimensional Einstein-Gauss-Bonnet (EGB) gravity. The four dimensional EGB black hole for large enough values of the coupling parameter leads to such a naked singularity. The stability and the response of the spacetime is studied against the perturbations by test scalar, electromagnetic and Dirac fields and the time evolution of these perturbations were observed numerically. Implementing a null Dirichlet boundary condition near the singularity, we observed that for l = 1 modes of scalar, electromagnetic perturbation and l = 0, 1 modes of Dirac perturbation the time-domain profile give rise to distinct echoes. However, as the coupling constant is increased, the echoes align and the QNM structure of the 4D-EGB naked singularity-spacetime becomes prominent. For higher values of the multipole number, the spacetime becomes unstable, thereby restricting the parameter space for the coupling parameter.

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Bending of light in novel 4D Gauss-Bonnet-de Sitter black holes by the Rindler-Ishak method

Cited by 28 publications

References 100 publications

Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes

Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes

Nonsingular black hole chemistry in $4D$ Einstein-Gauss-Bonnet gravity

Naked singularity in 4D Einstein-Gauss-Bonnet novel gravity: Echoes and (in)-stability

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