Probing geometric proca in metric-palatini gravity with black hole shadow and photon motion

Ghorani, Elham; Puliçe, Beyhan; Atamurotov, Farruh; Rayimbaev, Javlon; Abdujabbarov, Ahmadjon; Demir, Durmuş A.

doi:10.1140/epjc/s10052-023-11490-2

Cited by 11 publications

(3 citation statements)

References 171 publications

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“…Here, we discuss the accessible region by combining the information of ergoregion and effective potential contours, as in Eqs. ( 20), (22), and (23). In Fig.…”

Section: Contour Map Of Effective Potentials and Accessible Regionsmentioning

confidence: 99%

Onset of chaotic gravitational lensing in non-Kerr rotating black holes with quadrupole mass moment*

Wu¹,

Zhang

Shao

et al. 2023

Chinese Phys. C

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In the electromagnetic channel, chaotic gravitational lensing is a peculiar phenomenon in strong gravitational lensing. In this work, we analyze the properties and emergence of chaotic gravitational lensing in the Manko-Novikov black hole spacetime. Aiming to understand better the underlying physics, we elaborate on the boundaries of the accessible region in terms of the analyses of the contours of the effective potentials.The latter is associated with the two roots of a quadratic equation.In particular, we explore its interplay with ergoregion, which leads to specific features of the effective potentials, such as the emergence of cuspy edge and the formation of {\it pocket}, that serves as a static constraint on the geodesics.Besides, we investigate the properties of the radial and angular accelerations at the turning points in photons' trajectories.Moreover, the accelerations are analyzed, which is argued to provide a kinematic constraint on the geodesics.It is concluded that the onset of the chaotic lensing is crucially related to both constraints and as a result, an arbitrarily slight deviation in the incident photon is significantly amplified during the course of evolution through an extensive period, demonstrating the complexity in the highly nonlinear deterministic gravitational system.

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“…Here, we discuss the accessible region by combining the information of ergoregion and effective potential contours, as in Eqs. ( 20), (22), and (23). In Fig.…”

Section: Contour Map Of Effective Potentials and Accessible Regionsmentioning

confidence: 99%

Onset of chaotic gravitational lensing in non-Kerr rotating black holes with quadrupole mass moment*

Wu¹,

Zhang

Shao

et al. 2023

Chinese Phys. C

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“…In recent years, constraints on the parameters of gravity theories have been obtained by several authors in refs. [42,77,[93][94][95][96][97][98][99][100]. In the same way after obtaining the shadows of the BH, we will try to constrain the BH parameters for various cases of M87* and Sgr A*…”

Section: Jcap10(2023)058mentioning

confidence: 99%

4D Einstein-Gauss-Bonnet black hole in Power-Yang-Mills field: a shadow study

Zubair,

Raza,

Sarikulov

et al. 2023

J. Cosmol. Astropart. Phys.

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We consider a static black hole immersed in the Power-Yang-Mills field in four-dimensional Einstein-Gauss-Bonnet gravity and investigate the effect of various parameters on the radius of the photon sphere. The modified form of the Newman-Janis algorithm is used for obtaining a rotating black hole solution in this gravity. Further, we try to explore the influence of the Yang-Mills magnetic charge Q with power q, Gauss-Bonnet parameter α, and spin a on the horizon radius. The geodesic equations are constructed by incorporating the Hamilton-Jacobi formalism. The radial component of the geodesic equations gives the effective potential which is further used in deriving the mathematical structure for the shadows by using Bardeen's procedure for a fixed observer at infinity. The shadows are calculated and plotted in terms of two celestial coordinates for an equatorial observer. It is observed that all the parameters have a very significant effect on the shadow and related physical observables. We also obtain the constraint values for the spin, magnetic charge, and Gauss-Bonnet parameters, using the shadow size of supermassive black holes Sagittarius A* and M87* from the EHT observations for the cases of q = 0.6 and q = 0.9. It is shown that there are upper and lower bounds for the charge and spin of M87* at q = 0.6, while only the upper bounds for the charge and spin of Sagittarius A*. Finally, we investigate the energy emission rate in the Hawking radiation around the 4D Einstein-Gauss-Bonnet black hole in the Power-Yang-Mills field.

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“…Within this context, the photon ring, encircling the black hole's shadow, emerges as a pivotal element that can be harnessed to determine the black hole's parameters and unveil gravitational features within the information field. Subsequently, there has been a surge of activity in both analytical/numerical investigations and observational studies related to the shadows cast by the different kind of black holes [28,[55][56][57][58][59][60][61][62][63]. Numerous studies have been conducted in this area, including those by the works of literature [64][65][66][67][68][69][70].…”

Section: Introductionmentioning

confidence: 99%

Exploring tidal force effects and shadow constraints for Schwarzschild-like black hole in Starobinsky–Bel-Robinson gravity

Arora,

Molla,

Chaudhary

et al. 2023

Eur. Phys. J. C

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The current manuscript deals with the tidal force effects, geodesic deviation, and shadow constraints of the Schwarzschild-like black hole theorised in Starobinsky–Bel-Robinson gravity exhibiting M-theory compactification. In the current analysis, we explore the radial and angular tidal force effects on a radially in-falling particle by the central black hole, which is located in this spacetime. We also numerically solve the geodesic deviation equation and study the variation of the geodesic separation vector with the radial coordinate for two nearby geodesics using suitable initial conditions. All the obtained results are tested for Sag A* and M87* by constraining the value of the stringy gravity parameter $$\beta $$ β using the shadow data from the event horizon telescope observations. All the results are compared with Schwarzschild black hole spacetime. In our study, we found that both the radial and angular tidal forces experienced by a particle switch their initial behaviour and turn compressive and stretching, respectively, before reaching the event horizon. The geodesic deviation shows an oscillating trend as well for the chosen initial condition. For the constrained value of $$\beta $$ β , we see that the spacetime geometry generated by Sag A* and M87* is effectively same for both Schwarzschild and Starobinsky–Bel-Robinson black hole. Furthermore, we also calculated the angular diameter of the shadow in Starobinsky–Bel-Robinson black hole and compared with the Schwarzschild black hole. It is observed that the angular diameter of shadow for M87* and Sgr A* in Starobinsky–Bel-Robinson black hole is smaller than the Schwarzschild black hole. The calculated results satisfy the event horizon telescope observational constraints.

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Probing geometric proca in metric-palatini gravity with black hole shadow and photon motion

Cited by 11 publications

References 171 publications

Onset of chaotic gravitational lensing in non-Kerr rotating black holes with quadrupole mass moment*

Onset of chaotic gravitational lensing in non-Kerr rotating black holes with quadrupole mass moment*

4D Einstein-Gauss-Bonnet black hole in Power-Yang-Mills field: a shadow study

Exploring tidal force effects and shadow constraints for Schwarzschild-like black hole in Starobinsky–Bel-Robinson gravity

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