Study of null and time-like geodesics in the exterior of a Schwarzschild black hole with quintessence and cloud of strings

Fathi, Mohsen; Olivares, Manuel; Villanueva, J. R.

doi:10.48550/arxiv.2205.13261

Cited by 2 publications

(5 citation statements)

References 57 publications

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“…With this in mind, we further restrict ourselves to the case that implicitly describes the pure quintessential field. The above metric (18) reduces to the Schwarzschild metric in the case of and . For the structure of the horizon of the metric represented by (18), see Ref.…”

Section: V(φ)mentioning

confidence: 99%

“…The above metric (18) reduces to the Schwarzschild metric in the case of and . For the structure of the horizon of the metric represented by (18), see Ref. [16].…”

Section: V(φ)mentioning

confidence: 99%

“…. For (21), there are two conserved quantities: the specific angular momentum and the specific energy , given as [18]…”

Section: A Geodesic Equationsmentioning

confidence: 99%

“…In addition to the effect of string clouds, which are assumed as a collection of strings formed in the early era after the big-bang in the structuring of the Universe, due to the asymmetry breaking, has also been considered in the study of black hole spacetime [16]. The dynamics of test particles and photons in the vicinity of these stringy static black holes have been analyzed [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

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Shadows and gravitational weak lensing by the Schwarzschild black hole in the string cloud background with quintessential field*

et al. 2022

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In this work, we observe that in the presence of the string cloud parameter $a$ and the quintessence parameter $\gamma$, with the equation of state parameter $\omega_q={-2}/{3}$ the radius of the shadow of the Schwarzschild black hole increases as compared with the pure Schwarzschild black hole case. The existence of both quintessential dark energy and cloud of strings magnify the shadow size and hence the strength of the gravitational field around the Schwarzschild black hole increases. Using the data collected by the Event Horizon Telescope (EHT) collaboration for the M87* and Sgr A*, we obtain upper bounds on the values of the parameters $a$ and $\gamma$. Further, we see the effects of the parameters $a$ and $\gamma$ on the rate of emission energy for the Schwarzschild black hole. We notice that the rate of emission energy is higher in the presence of clouds of string and quintessence. Moreover, we study the weak deflection angle using the Gauss-Bonnet theorem. We show the influence of the cloud of string parameter $a$ and the quintessential parameter $\gamma$ on the weak deflection angle. We notice that both the parameters $a$ and $\gamma$ increase the deflection angle $\alpha$.

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Section: V(φ)mentioning

confidence: 99%

“…The above metric (18) reduces to the Schwarzschild metric in the case of and . For the structure of the horizon of the metric represented by (18), see Ref. [16].…”

Section: V(φ)mentioning

confidence: 99%

“…. For (21), there are two conserved quantities: the specific angular momentum and the specific energy , given as [18]…”

Section: A Geodesic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Shadows and gravitational weak lensing by the Schwarzschild black hole in the string cloud background with quintessential field*

et al. 2022

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“…Toledo and Bezerra have combined the ideas of Kiselev and Letelier about the black hole solutions, and have obtained the counterpart of the Kerr-Newman solution in the presence of both the quintessential dark energy and CS [92]. Recently, some interesting work has been done for black holes in the presence of dark energy and CS [101][102][103]. In the current work we are going to explore the photon motion and the shadow cast by the Kerr-Newman-Kislev-Letelier (KNKL) black hole.…”

Section: Introductionmentioning

confidence: 99%

Shadow and quasinormal modes of the Kerr–Newman–Kiselev–Letelier black hole

et al. 2022

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We investigate the null geodesics and the shadow cast by the Kerr–Newman–Kiselev–Letelier (KNKL) black hole for the equation of state parameter $$\omega _q=-2/3$$ ω q = - 2 / 3 and for different values of the spacetime parameters, including the quintessence parameter $$\gamma $$ γ , the cloud of string (CS) parameter b, the spin parameter a and the charge Q of the black hole. We notice that for the increasing values of the parameters $$\gamma $$ γ and b the size of the shadow of the KNKL black hole increases and consequently the strength of the gravitational field of the black hole increases. On the other hand with increase in the charge Q of the black hole the size of the shadow of the black hole decreases. Further with the increase in the values of the spin parameter a of the KNKL black hole, we see that the distortion of the shadow of the black hole becomes more prominent. Moreover we use the data released by the Event Horizon Telescope (EHT) collaboration, to restrict the parameters b and $$\gamma $$ γ for the KNKL black hole, using the shadow cast by the KNKL black hole. To this end, we also explore the relation between the typical shadow radius and the equatorial and polar quasinormal mods (QNMs) for the KNKL black hole and extend this correspondence to non-asymptotically flat spacetimes. We also study the emission energy rate from the KNKL black hole for the various spacetime parameters, and observe that it increases for the increasing values of both the parameters $$\gamma $$ γ and b for fixed charge-to-mass and spin-to-mass ratios of the KNKL black hole. Finally, we investigate the effects of plasma on the photon motion, size and shape of the shadow cast by the KNKL black hole. While keeping the spacetime parameters fixed, we notice that with increase in the strength of the plasma medium the size of the shadow of the KNKL black hole decreases and therefore the intensity of the gravitational field of the KNKL black hole decreases in the presence of plasma.

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Study of null and time-like geodesics in the exterior of a Schwarzschild black hole with quintessence and cloud of strings

Cited by 2 publications

References 57 publications

Shadows and gravitational weak lensing by the Schwarzschild black hole in the string cloud background with quintessential field*

Shadows and gravitational weak lensing by the Schwarzschild black hole in the string cloud background with quintessential field*

Shadow and quasinormal modes of the Kerr–Newman–Kiselev–Letelier black hole

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