Instability of a black hole with f (R) global monopole under extended uncertainty principle *

Cheng, Hongbo; Zhong, Yan

doi:10.1088/1674-1137/ac1668

Cited by 6 publications

(5 citation statements)

References 83 publications

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“…where α is in unity, and L * is the large fundamental length scale counterpart of the Planck length l p . Thereafter, various authors considered exploring the effects of EUP on different black hole phenomena [56,[69][70][71][72][73][74][75][76]. Authors in Ref.…”

Section: Schwarzschild Black Hole Under Perturbationmentioning

confidence: 99%

Testing symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87$$^$$ and Sgr. $$\hbox {A}^$$ results

Pantig

Овгун²,

Demir

2023

Eur. Phys. J. C

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In this paper, we study rotating black holes in symmergent gravity, and use deviations from the Kerr black hole to constrain the parameters of the symmergent gravity. Symmergent gravity induces the gravitational constant G and quadratic curvature coefficient $$c_{\textrm{O}}$$ c O from the flat spacetime matter loops. In the limit in which all fields are degenerate in mass, the vacuum energy $$V_{\textrm{O}}$$ V O can be wholly expressed in terms of G and $$c_{\textrm{O}}$$ c O . We parametrize deviation from this degenerate limit by a parameter $${\hat{\alpha }}$$ α ^ such that the black hole spacetime is dS for $${\hat{\alpha }} < 1$$ α ^ < 1 and AdS for $${\hat{\alpha }} > 1$$ α ^ > 1 . In constraining the symmergent parameters $$c_{\textrm{O}}$$ c O and $${\hat{\alpha }}$$ α ^ , we utilize the EHT observations on the M87* and Sgr. A* black holes. We investigate first the modifications in the photon sphere and shadow size, and find significant deviations in the photonsphere radius and the shadow radius with respect to the Kerr solution. We also find that the geodesics of time-like particles are more sensitive to symmergent gravity effects than the null geodesics. Finally, we analyze the weak field limit of the deflection angle, where we use the Gauss-Bonnet theorem for taking into account the finite distance of the source and the receiver to the lensing object. Remarkably, the distance of the receiver (or source) from the lensing object greatly influences the deflection angle. Moreover, $$c_{\textrm{O}}$$ c O needs be negative for a consistent solution. In our analysis, the rotating black hole acts as a particle accelerator and possesses the sensitivity to probe the symmergent gravity.

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Section: Schwarzschild Black Hole Under Perturbationmentioning

confidence: 99%

Testing symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87$$^$$ and Sgr. $$\hbox {A}^$$ results

Pantig

Овгун²,

Demir

2023

Eur. Phys. J. C

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“…It was found that the generalization of Heisenberg's uncertainty principle leads to the fragmentation of the f (R)-corrected black hole involving global monopole [20]. We generalize the consideration on the Hawking radiations and fragmentation of the black hole to the case under the extended uncertainty principle to show that the generalized uncertainty encourages the black hole instability referring to the Parikh-Kraus-Wilczeck tunneling radiation and division [21]. The observational appearances shown by three simple models of accretions of an f (R) global monopole black hole were studied [22].…”

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confidence: 91%

The neutrino pair annihilation around a massive source with an f(R) global monopole

Cheng¹,

Shi²

2022

EPL

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In this work we investigate the neutrino pair annihilation around a gravitational object involving an $f(R)$ global monopole. We derive and calculate the ratio $\frac{\dot{Q}}{\dot{Q_{Newt}}}$ meaning that the energy deposition per unit time is over that in the Newtonian case. It is found that the greater influence from $f(R)$ theory leads more energy to set free from the annihilation with greater ratio value. It is important that the existence of global monopole makes a sharp increase in the ratio $\frac{\dot{Q}}{\dot{Q_{Newt}}}$, causing heavier gamma-ray burst. We also discuss the derivative $\frac{d\dot{Q}}{dr}$ as a function of radius $r$ of star to show the similar characters that the considerable modification of Einstein's gravity and the global monopole with unified theory order will raise the amount of $\frac{d\dot{Q}}{dr}$ more greatly. The stellar body with $f(R)$ global monopole can be well qualified as a source of gamma-ray bursts. Moreover, we can select the factor $\psi_{0}$ to be comparable with the accelerating universe while regulate the parameter $\eta$ for the global monopole in order to make the ratio curves to coincide with the results from astronomy. It is possible to probe the monopole from astrophysical observations.

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“…Since then, various studies have explored the black hole with EUP correction; see Refs. [23][24][25][26][27][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Generalized Extended Uncertainty Principle Black Holes: Shadow and Lensing in the Macro- and Microscopic Realms

Lobos

Pantig

2022

Physics

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Motivated by the recent study about the extended uncertainty principle (EUP) black holes, we present in this study its extension called the generalized extended uncertainty principle (GEUP) black holes. In particular, we investigated the GEUP effects on astrophysical and quantum black holes. First, we derive the expression for the shadow radius to investigate its behavior as perceived by a static observer located near and far from the black hole. Constraints to the large fundamental length scale, L*, up to two standard deviations level were also found using the Event Horizont Telescope (EHT) data: for black hole Sgr. A*, L*=5.716×1010 m, while for M87* black hole, L*=3.264×1013 m. Under the GEUP effect, the value of the shadow radius behaves the same way as in the Schwarzschild case due to a static observer, and the effect only emerges if the mass, M, of the black hole is around the order of magnitude of L* (or the Planck length, lPl). In addition, the GEUP effect increases the shadow radius for astrophysical black holes, but the reverse happens for quantum black holes. We also explored GEUP effects to the weak and strong deflection angles as an alternative analysis. For both realms, a time-like particle gives a higher value for the weak deflection angle. Similar to the shadow, the deviation is seen when the values of L* and M are close. The strong deflection angle gives more sensitivity to GEUP deviation at smaller masses in the astrophysical scenario. However, the weak deflection angle is a better probe in the micro world.

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Instability of a black hole with f (R) global monopole under extended uncertainty principle *

Cited by 6 publications

References 83 publications

Testing symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87$$^$$ and Sgr. $$\hbox {A}^$$ results

Testing symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87$$^$$ and Sgr. $$\hbox {A}^$$ results

The neutrino pair annihilation around a massive source with an f(R) global monopole

Generalized Extended Uncertainty Principle Black Holes: Shadow and Lensing in the Macro- and Microscopic Realms

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Instability of a black hole with f (R) global monopole under extended uncertainty principle *

Cited by 6 publications

References 83 publications

Testing symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87$$^*$$ and Sgr. $$\hbox {A}^*$$ results

Testing symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87$$^*$$ and Sgr. $$\hbox {A}^*$$ results

The neutrino pair annihilation around a massive source with an f(R) global monopole

Generalized Extended Uncertainty Principle Black Holes: Shadow and Lensing in the Macro- and Microscopic Realms

Contact Info

Product

Resources

About

Testing symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87$$^$$ and Sgr. $$\hbox {A}^$$ results

Testing symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87$$^$$ and Sgr. $$\hbox {A}^$$ results