Effect of Multipole Moments in the Weak Field Limit of a Black Hole Plus Halo Potential

Dubeibe, F. L.; Saeed, Tareq; Zotos, Euaggelos E.

doi:10.3847/1538-4357/abcd9f

Cited by 3 publications

(2 citation statements)

References 28 publications

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“…For this space-time, Vieira et al detected the timelike geodesic orbits of test particles and found that the octopolar term could bring about chaotic motions [93]. Through further numerical analysis, they found that the quadrupolar term also gives rise to a chaotic behavior in addendum [94]. Dubeibe further investigated the effects of the quadrupole and octupole moments on the motion of a test particle using modern color-coded basin diagrams [95] and found that the final state of the test particle was highly affected.…”

Section: Introductionmentioning

confidence: 98%

Surface geometry and shadow of a Schwarzschild black hole with a halo*

Guo¹,

Chen²,

Jing³

2023

Chinese Phys. C

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We have studied the surface geometry and shadows of Schwarzschild black hole with a halo containing the quadrupolar and octopolar terms. We found the quadrupole term makes the Schwarzschild black hole prolate for the quadrupole strength $\mathcal{Q}<0$ and oblate for $\mathcal{Q}>0$, and the octopole term makes shadow stretch upward for the octopolar strength $\mathcal{O}<0$ and stretch downward for $\mathcal{O}>0$. The shadow of Schwarzschild black hole with halo stretches and squeezes along the horizontal direction for $\mathcal{Q}<0$ and $\mathcal{Q}>0$ respectively. Meanwhile, black hole shadow shifts upward for $\mathcal{O}<0$ and shifts downward for $\mathcal{O}>0$. We exhibited the light rays that form the shadow boundary to explain the emergence of the extraordinary patterns of black hole shadow with the quadrupole and octopole terms. From the observable width $W$, height $H$, oblateness $K$ and distortion parameter $\delta_{c}$ of black hole shadow, one can determine the quadrupole and octopolar strengths of Schwarzschild black hole with halo. Our results show that the quadrupolar and octopolar terms yield a series of interesting patterns for the shadow of a Schwarzschild black hole with halo.

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Section: Introductionmentioning

confidence: 98%

Surface geometry and shadow of a Schwarzschild black hole with a halo*

Guo¹,

Chen²,

Jing³

2023

Chinese Phys. C

View full text Add to dashboard Cite

show abstract

“…In the last two decades, the study of the dynamics of orbits around a single BH [4][5][6] or a BH binary [7][8][9] has become very popular. With the instrumental development of the detection and measuring techniques, it is already established that most of the galaxies consist of supermassive BHs at their galactic centres [10,11].…”

Section: Introductionmentioning

confidence: 99%