We argue that in the generalized uncertainty principle(GUP)model,the parameterβ0 whose square root,multiplied by Planck lengthℓp,approximates the minimum measurable distance,varies with energy scales.Since the minima...We argue that in the generalized uncertainty principle(GUP)model,the parameterβ0 whose square root,multiplied by Planck lengthℓp,approximates the minimum measurable distance,varies with energy scales.Since the minimal measurable length and extra dimensions are both suggested by quantum gravity theories,we investigate the models based on the GUP and one extra dimension,compactified with radiusρ.We obtain an inspiring relation√β0ℓp/ρ∼O(1).This relation is also consistent with the predictions at Planck scale and the usual quantum mechanics scale.We also estimate the application range of the GUP model.It turns out that the minimum measurable length is exactly the compactification radius of the extra dimension.展开更多
By throwing a test charged particle into a Reissner-Nordstrom(RN)black hole,we test the validity of the first and second laws of thermodynamics and the weak cosmic censorship conjecture(WCCC)with two types of boundary...By throwing a test charged particle into a Reissner-Nordstrom(RN)black hole,we test the validity of the first and second laws of thermodynamics and the weak cosmic censorship conjecture(WCCC)with two types of boundary conditions:the asymptotically anti-de Sitter(AdS)space and a Dirichlet cavity wall placed in an asymptot-ically flat space.For the RN-AdS black hole,the second law of thermodynamics is satisfied,and the WCCC is viol-ated for both extremal and near-extremal black holes.For the RN black hole in a cavity,the entropy can either in-crease or decrease depending on the change in the charge,and the WCCC is satisfied/violated for the extremal/near-extremal black hole.Our results indicate that there may be a connection between the black hole thermodynamics and the boundary condition imposed on the black hole.展开更多
It has been shown that the Christodoulou version of the strong cosmic censorship(SCC)conjecture can be violated for a scalar field in a near-extremal Reissner-Nordstrom-de Sitter black hole.In this paper,we investigat...It has been shown that the Christodoulou version of the strong cosmic censorship(SCC)conjecture can be violated for a scalar field in a near-extremal Reissner-Nordstrom-de Sitter black hole.In this paper,we investigate the effects of higher derivative corrections to the Einstein-Hilbert action on the validity of SCC,by considering a neutral massless scalar perturbation in 5 -and 6 -dimensional Einstein-Maxwell-Gauss-Bonnet-de Sitter black holes.Our numerical results show that the higher derivative term plays a different role in the d=5 case than it does in the d=6 case.For d=5 ,the SCC violation region increases as the strength of the higher derivative term increases.For d=6 ,the SCC violation region first increases and then decreases as the higher derivative correction becomes stronger,and SCC can always be restored for a black hole with a fixed charge ratio when the higher derivative correction is strong enough.Finally,we find that the C^(2) version of SCC is respected in the d=6 case,but can be violated in some near-extremal regimes in the d=5 case.展开更多
基金by the Fundamental Research Funds for the Central Universities under Grant No ZYGX2009X008,and NCET.
文摘We argue that in the generalized uncertainty principle(GUP)model,the parameterβ0 whose square root,multiplied by Planck lengthℓp,approximates the minimum measurable distance,varies with energy scales.Since the minimal measurable length and extra dimensions are both suggested by quantum gravity theories,we investigate the models based on the GUP and one extra dimension,compactified with radiusρ.We obtain an inspiring relation√β0ℓp/ρ∼O(1).This relation is also consistent with the predictions at Planck scale and the usual quantum mechanics scale.We also estimate the application range of the GUP model.It turns out that the minimum measurable length is exactly the compactification radius of the extra dimension.
基金National Natural Science Foundation of China(11875196,11375121,11005016)。
文摘By throwing a test charged particle into a Reissner-Nordstrom(RN)black hole,we test the validity of the first and second laws of thermodynamics and the weak cosmic censorship conjecture(WCCC)with two types of boundary conditions:the asymptotically anti-de Sitter(AdS)space and a Dirichlet cavity wall placed in an asymptot-ically flat space.For the RN-AdS black hole,the second law of thermodynamics is satisfied,and the WCCC is viol-ated for both extremal and near-extremal black holes.For the RN black hole in a cavity,the entropy can either in-crease or decrease depending on the change in the charge,and the WCCC is satisfied/violated for the extremal/near-extremal black hole.Our results indicate that there may be a connection between the black hole thermodynamics and the boundary condition imposed on the black hole.
基金This work is supported in part by NSF C(11005016,11875196,11375121)。
文摘It has been shown that the Christodoulou version of the strong cosmic censorship(SCC)conjecture can be violated for a scalar field in a near-extremal Reissner-Nordstrom-de Sitter black hole.In this paper,we investigate the effects of higher derivative corrections to the Einstein-Hilbert action on the validity of SCC,by considering a neutral massless scalar perturbation in 5 -and 6 -dimensional Einstein-Maxwell-Gauss-Bonnet-de Sitter black holes.Our numerical results show that the higher derivative term plays a different role in the d=5 case than it does in the d=6 case.For d=5 ,the SCC violation region increases as the strength of the higher derivative term increases.For d=6 ,the SCC violation region first increases and then decreases as the higher derivative correction becomes stronger,and SCC can always be restored for a black hole with a fixed charge ratio when the higher derivative correction is strong enough.Finally,we find that the C^(2) version of SCC is respected in the d=6 case,but can be violated in some near-extremal regimes in the d=5 case.
