Energy and thermodynamics are investigated in the Schwarzschild black hole spacetime when considering corrections due to quantum vacuum fluctuations. The Einstein and M？ller prescriptions are used to derive the expre...Energy and thermodynamics are investigated in the Schwarzschild black hole spacetime when considering corrections due to quantum vacuum fluctuations. The Einstein and M？ller prescriptions are used to derive the expressions of the energy in the background. The temperature and heat capacity are also derived. The results show that due to the quantum fluctuations in the background of the Schwarzschild black hole, all the energies increase and the Einstein energy differs from M？ller＇s one. Moreover, when increasing the quantum correction factor aa, the difference between Einstein and M？ller energies, the Unruh–Verlinde temperature as well as the heat capacity of the black hole increases while the Hawking temperature remains unchanged.展开更多
In this study,we investigate the optical properties of a quantum-corrected black hole(BH)in loop quantum gravity surrounded by a plasma medium.First,we determine the photon and shadow radii resulting from quantum corr...In this study,we investigate the optical properties of a quantum-corrected black hole(BH)in loop quantum gravity surrounded by a plasma medium.First,we determine the photon and shadow radii resulting from quantum corrections and the plasma medium in the environment surrounding a quantum-corrected BH.Our findings indicate that the photon sphere and BH shadow radii decrease owing to the quantum correction parameterα,which acts as a repulsive gravitational charge.Further,we investigate the gravitational weak lensing by applying the general formalism used to model the deflection angle of the light traveling around the quantum-corrected BH within the plasma medium.We show,in conjunction with the fact that the combined effects of the quantum correction and non-uniform plasma frequency parameter can decrease the deflection angle,that the light traveling through the uniform plasma can be strongly deflected than the non-uniform plasma environment surrounding the quantum-corrected BH.Finally,we examine the magnification of the lensed image brightness under the effect of the quantum correction parameterα,including the uniform and non-uniform plasma effects.展开更多
The thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter is investigated.We calculate the analytical expresses of corresponding thermodynamic variables,e.g.,the Hawking temperature,entropy of t...The thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter is investigated.We calculate the analytical expresses of corresponding thermodynamic variables,e.g.,the Hawking temperature,entropy of the black hole.In addition,we derive the heat capacity to analyze the thermal stability of the black hole.We also compute the rate of emission in terms of photons through tunneling.By numerical method,an obvious phase transition behavior is found.Furthermore,according to the general uncertainty principle,we study the quantum corrections to these thermodynamic quantities and obtain the quantum-corrected entropy containing the logarithmic term.Lastly,we investigate the effects of the magnetic charge g,the dark matter parameter k and the generalized uncertainty principle parameterαon the thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle.展开更多
In a recent work by Fernandes[Phys.Rev.D 108(6),L061502(2023)],an exact stationary and axisymmetric solution was discovered in semiclassical gravity with type-A trace anomaly.This was identified as a quantum-corrected...In a recent work by Fernandes[Phys.Rev.D 108(6),L061502(2023)],an exact stationary and axisymmetric solution was discovered in semiclassical gravity with type-A trace anomaly.This was identified as a quantum-corrected version of the Kerr black hole.In this study,we explore the observational signatures of this black hole solution.Our investigation reveals that prograde and retrograde light rings exist,whose radii increase monotonically with the coupling parameterα.Whenαis negative,the shadow area for the quantum-corrected black hole is smaller than that of the Kerr black hole,whereas whenαis positive,the area is larger.For a near-extremal black hole,its high-spin feature(the NHEKline)is found to be highly susceptible to disruption byα.Furthermore,we discuss the images of the quantum-corrected black hole in the presence of a thin accretion disk and compare them to those of the Kerr black hole.Our study highlights the importance of near-horizon emission sources in detecting the effects of quantum corrections by black hole images.展开更多
文摘Energy and thermodynamics are investigated in the Schwarzschild black hole spacetime when considering corrections due to quantum vacuum fluctuations. The Einstein and M？ller prescriptions are used to derive the expressions of the energy in the background. The temperature and heat capacity are also derived. The results show that due to the quantum fluctuations in the background of the Schwarzschild black hole, all the energies increase and the Einstein energy differs from M？ller＇s one. Moreover, when increasing the quantum correction factor aa, the difference between Einstein and M？ller energies, the Unruh–Verlinde temperature as well as the heat capacity of the black hole increases while the Hawking temperature remains unchanged.
基金Supported by the National Natural Science Foundation of China(11675143)the National Key Research and Development Program of China(2020YFC2201503)。
文摘In this study,we investigate the optical properties of a quantum-corrected black hole(BH)in loop quantum gravity surrounded by a plasma medium.First,we determine the photon and shadow radii resulting from quantum corrections and the plasma medium in the environment surrounding a quantum-corrected BH.Our findings indicate that the photon sphere and BH shadow radii decrease owing to the quantum correction parameterα,which acts as a repulsive gravitational charge.Further,we investigate the gravitational weak lensing by applying the general formalism used to model the deflection angle of the light traveling around the quantum-corrected BH within the plasma medium.We show,in conjunction with the fact that the combined effects of the quantum correction and non-uniform plasma frequency parameter can decrease the deflection angle,that the light traveling through the uniform plasma can be strongly deflected than the non-uniform plasma environment surrounding the quantum-corrected BH.Finally,we examine the magnification of the lensed image brightness under the effect of the quantum correction parameterα,including the uniform and non-uniform plasma effects.
基金supported by the National Natural Science Foundation of China(Grant No.U1731107)。
文摘The thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter is investigated.We calculate the analytical expresses of corresponding thermodynamic variables,e.g.,the Hawking temperature,entropy of the black hole.In addition,we derive the heat capacity to analyze the thermal stability of the black hole.We also compute the rate of emission in terms of photons through tunneling.By numerical method,an obvious phase transition behavior is found.Furthermore,according to the general uncertainty principle,we study the quantum corrections to these thermodynamic quantities and obtain the quantum-corrected entropy containing the logarithmic term.Lastly,we investigate the effects of the magnetic charge g,the dark matter parameter k and the generalized uncertainty principle parameterαon the thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle.
基金Supported by the National Natural Science Foundation of China(12275004,12205013,11873044)"the Fundamental Research Funds for the Central Universities"(2021NTST13)。
文摘In a recent work by Fernandes[Phys.Rev.D 108(6),L061502(2023)],an exact stationary and axisymmetric solution was discovered in semiclassical gravity with type-A trace anomaly.This was identified as a quantum-corrected version of the Kerr black hole.In this study,we explore the observational signatures of this black hole solution.Our investigation reveals that prograde and retrograde light rings exist,whose radii increase monotonically with the coupling parameterα.Whenαis negative,the shadow area for the quantum-corrected black hole is smaller than that of the Kerr black hole,whereas whenαis positive,the area is larger.For a near-extremal black hole,its high-spin feature(the NHEKline)is found to be highly susceptible to disruption byα.Furthermore,we discuss the images of the quantum-corrected black hole in the presence of a thin accretion disk and compare them to those of the Kerr black hole.Our study highlights the importance of near-horizon emission sources in detecting the effects of quantum corrections by black hole images.
