Black hole solutions in modified gravity induced by quantum metric fluctuations

Yang, Jinzhao; Harkó, Tiberiu; Liang, Shi-Dong

doi:10.1016/j.dark.2020.100756

“…On the other hand, the non-minimal matter couplings should affect geodesic motion, test masses and so could also potentially be constrained using gravitational waves. Lastly, it would be fascinating to lookout for these quantum effects in the highly nonlinear regime, e.g., black holes [60], and study whether they may leave observational imprints such as shadow modifications.…”

Section: Discussionmentioning

confidence: 99%

Confronting quantum-corrected teleparallel cosmology with observations

Bernardo

¹

,

Chen

²

,

Said

³

et al. 2022

J. Cosmol. Astropart. Phys.

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It has been shown that at the semi-classical order, gravitational theories with quantum fluctuations can be effectively recast as modified theories of gravity with non-minimal gravity-matter couplings. We proceed from an observational perspective and see whether such quantum fluctuations can leave imprints on the late Universe. Within the teleparallel formulation, we investigate a representative model in this general class of modified gravitational theories inlaid with quantum fluctuations, and determine the cosmological parameters by using compiled late-time data sets. Furthermore, we assess the statistical significance of such quantum corrections compared to the standard cosmological model. The results mildly favor the inclusion of quantum corrections with a negative density parameter supporting a phantom-like dark energy. This edge is not sufficient to rule out either models but it supports the consideration of quantum corrections in a cosmological setting.

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“…On the other hand, the non-minimal matter couplings should affect geodesic motion, test masses and so could also potentially be constrained using gravitational waves. Lastly, it would be fascinating to lookout for these quantum effects in the highly nonlinear regime, e.g., black holes [55], and study whether they may leave observational imprints such as shadow modifications.…”

Section: Discussionmentioning

confidence: 99%

Confronting quantum-corrected teleparallel cosmology with observations

Bernardo,

Chen,

Said

et al. 2021

Preprint

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It has been shown that at the semi-classical order, gravitational theories with quantum fluctuations can be effectively recast as modified theories of gravity with non-minimal gravity-matter couplings. We proceed from an observational perspective and see whether such quantum fluctuations can leave imprints on the late Universe. Within the teleparallel formulation, we investigate a representative model in this general class of modified gravitational theories inlaid with quantum fluctuations, and determine the cosmological parameters by using compiled late-time data sets. Furthermore, we assess the statistical significance of such quantum corrections compared to the standard cosmological model. The results mildly favor the inclusion of quantum corrections with a negative density parameter supporting a phantom-like dark energy. This edge is not sufficient to rule out either models but it supports the consideration of quantum corrections in a cosmological setting.

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“…From the mathematical point of view black holes are the singular solutions of Einstein's fields equations of GR. Black hole solutions have also been found in other alternative theories of gravity [79][80][81]. In the GR first such solution was obtained by Schwarzschild for a point gravitating source [82].…”

Section: Introductionmentioning

confidence: 99%

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

Atamurotov

¹

,

Hussain

²

,

Mustafa

³

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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Black hole solutions in modified gravity induced by quantum metric fluctuations

Cited by 8 publications

References 106 publications

Confronting quantum-corrected teleparallel cosmology with observations

Confronting quantum-corrected teleparallel cosmology with observations

Confronting quantum-corrected teleparallel cosmology with observations

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

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