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After considering the generalized uncertainty principle, we discuss the quantum tunneling radiation of a five-dimensional Schwarzschild anti de Sitter black hole. The radiation spectrum and the correction value of the Bekenstein-Hawking entropy are derived. In a five-dimensional black hole the one order correction term in the Bekenstein-Hawking entropy correction term is proportional to the third power of the area, and the logarithmic correction term is a two-order small quantity. The correction term is related to the dimension constant introduced in the generalized uncertainty principle. Because the black hole entropy is not divergent, the lowest value of the five-dimensional Schwarzschild anti de Sitter black hole horizon radius is obtained. After considering the generalized uncertainty principle, the radiation spectrum is still consistent with normalization theory. 相似文献
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Hawking radiation can be viewed as a process of quantum tunnelling near black hole horizon. When a particle with angular momentum
tunnels across the event horizon of Schwarzschild black hole, the black hole will change into a Kerr black hole. The emission
rate of the massless particles with angular momentum is calculated, and the result is consistent with an underlying unitary
theory. 相似文献
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There is much interest in resolving the quantum corrections to Bekenstein-Hawking entropy with a large length scale limit. The leading correction term is given by the logarithm of black hole area with a model-dependent coefficient. Recently the research for quantum gravity implies the emergence of a modification of theenergy-momentum dispersion relation (MDR), which plays an importantrole in the modified black hole thermodynamics. In this paper, we investigate the quantum corrections to Bekenstein-Hawking entropy in four-dimensional Schwarzschild black hole and Reissner-Nordström black hole respectively based on MDR. 相似文献
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Gerard ’t Hooft 《Foundations of Physics》2018,48(10):1134-1149
In the standard formalism of quantum gravity, black holes appear to form statistical distributions of quantum states. Now, however, we can present a theory that yields pure quantum states. It shows how particles entering a black hole can generate firewalls, which however can be removed, replacing them by the ‘footprints’ they produce in the out-going particles. This procedure can preserve the quantum information stored inside and around the black hole. We then focus on a subtle but unavoidable modification of the topology of the Schwarzschild metric: antipodal identification of points on the horizon. If it is true that vacuum fluctuations include virtual black holes, then the structure of space-time is radically different from what is usually thought. 相似文献
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In this paper, the quasinormal modes (QNMs) of electromagnetic field perturbation to asymptotic safe (AS) black hole are discussed. Through six-order WKB approach we investigate the effects of quantum correction to the quasinormal modes (QNMs) numerically. Meanwhile by means of finite difference method, the evolutions of such perturbation to the safe black hole are figured out with corresponding parameters. It is found that the stability of black hole remains although the decay frequency and damping speed of oscillations are respectively increased and lowered by the quantum correction to classic Schwarzschild black hole. 相似文献
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It is shown that among the four classes of the static spherically symmetric solutions of the vacuum Brans-Dicke theory of
gravity only two are really independent. Further, by matching exterior and interior (due to physically reasonable spherically
symmetric matter source) scalar fields it is found that only the Brans class I solution with a certain restriction on the
solution parameters may represent an exterior metric for a nonsingular massive object. The physical viability of the black
hole nature of the solution is investigated. It is concluded that no physical black hole solution different from the Schwarzschild
black hole is available in the Brans-Dicke theory. 相似文献
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Xiao-Xiong Zeng Xian-Ming Liu Wen-Biao Liu 《The European Physical Journal C - Particles and Fields》2012,72(4):1967
The recent speculation of Maggiore that the periodicity of a black hole may be the origin of the area quantization law is
confirmed. We exclusively utilize the period of motion of an outgoing wave, which is shown to be related to the vibrational
frequency of the perturbed black hole, to quantize the horizon areas of a Schwarzschild black hole and a Kerr black hole.
It is shown that the equally spaced area spectrum for both cases takes the same form and the spacing is the same as that obtained
through the quasinormal mode frequencies. Particularly, for a Kerr black hole, the small angular momentum assumption, which
is necessary from the perspective of quasinormal mode, is not employed as the general area spacing is reproduced. 相似文献
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The pure thermal spectrum in dragging coordinate system and the
tunneling radiation characteristics across the event horizon
for stationary Demianski-Newman black hole are researched. The result shows that the tunneling rate of the particle is relevant to Bekenstein-Hawking entropy, and the derived radiate
spectrum is not strictly pure thermal, but is consistent with underlying unitary theory. Finally, we use the obtained results to reduce to stationary Kerr black hole and static Schwarzschild black hole, and find that only when ignoring the spectrum at higher energies is the tunneling radiation spectrum consistent with
Hawking pure thermal one. 相似文献
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A modified de Broglie-Bohm approach is generalized to the Schwarzschild black hole. By using this method, the quantum potential and the quantum trajectories of the black hole are investigated. And we find that the linear combination of two particular solutions of the black hole wavefunction is not physical although each of them is physical, if we think that the quantum gravity should reduce into its corresponding classical counterpart in which the gravity vanishes. It seems to confirm the argument, given by Alwis and MacIntire, that a possible resolution on the quantum gravity is to give up the superposition principle. 相似文献
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Biplab Paik 《Chinese Journal of Physics (Taipei)》2018,56(5):1879-1893
A model black hole, holding a ‘quantum core’ characterized by the Planck order matter density, is revisited here. Based on the quantum improved Newton’s potential drawn out of the loop quantum cosmology we propose a Schwarzschild class, quantum improved black hole line-element that upholds the existence of Planck-dense quantum matter core. Causality is kept preserved in this proposal. Quite in a natural way the quantum core emerges closely homogeneous in its interior matter distribution. The radius of the quantum core turns out to be necessarily proportional to one-third power of the black hole mass. Hawking process of black hole evaporation leads to a shrinking quantum core, and as the mass of black hole approaches near about the Planck mass, the rate of evaporation diminishes rapidly and eventually leaves a cold remnant having a Planck order mass. Proposed model supports the standard quantum geometrical logarithmic correction to black hole entropy-area law. 相似文献
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We study a Hamiltonian quantum formalism of a spherically symmetric space-time which can be identified with the interior of
a Schwarzschild black hole. The phase space of this model is spanned by two dynamical variables and their conjugate momenta.
It is shown that the classical Lagrangian of the model gives rise the interior metric of a Schwarzschild black hole. We also
show that the mass of such a system is a Dirac observable and then by quantization of the model by Wheeler-DeWitt approach
and constructing suitable wave packets we get the mass spectrum of the black hole. 相似文献
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Parikh最近将黑洞辐射视为半经典的隧穿过程,在考虑了自引力相互作用后,得出静态球对称Schwarzschild和Reissner-Nordstrm黑洞的辐射谱不是纯热谱.采用Doran给出的Kerr黑洞解的新形式,将Parikh的工作推广到Kerr黑洞,研究转动黑洞的隧穿辐射,得到了修正的辐射谱,它与黑洞的Bekenstein-Hawking熵变有关,不是纯热谱,但满足量子力学中的幺正性原理.
关键词:
Kerr黑洞
隧穿辐射
自引力修正
Bekenstein-Hawking熵 相似文献
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Based on the anomaly cancellation method, initiated by Robinson and Wilczek, we investigates Hawking radiation from the modified Schwarzschild black hole from gravity's rainbow from the anomaly point of view. Unlike the general Schwarzschild space-time, the metric of this black hole depends on the energies of probes. The obtained result shows to restore the underlying general covariance at the quantum level in the effective field, the covariant compensating flux of energy-momentum tensor, which is related to the energies of the probes, should precisely equal to that of a (1 + 1)-dimensional blackbody at the Hawking temperature. 相似文献
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Based on the generalized uncertainty principle (GUP), we investigate the correction of quantum gravity to Hawking radiation of black hole by utilizing the tunnelling method. The result tells us that the quantum gravity correction retards the evaporation of black hole. Using the corrected covariant Dirac equation in curved spacetime, we study the tunnelling process of fermions in Schwarzschild spacetime and obtain the corrected Hawking temperature. It turns out that the correction depends not only on the mass of black hole but also on the mass of emitted fermions. In our calculation, the quantum gravity correction slows down the increase of Hawking temperature during the radiation explicitly. This correction leads to the remnants of black hole and avoids the evaporation singularity. 相似文献
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In this paper, we employ the extended generalized uncertainty principle with linear terms (LEGUP) to investigate the thermodynamics properties of the Schwarzschild and Reissner–Nordström (RN) black holes. Firstly, by constructing the theoretical framework of LEGUP, the minimal temperature of the Schwarzschild black hole and the modified mass–temperature function for the black hole are calculated. Furthermore, the heat capacity function for the Schwarzschild black hole is obtained. After that, we compare LEGUP black hole thermodynamics with EGUP black hole and with the usual forms. Besides, the modification of black hole entropy is discussed, which involves a heuristic analysis of particles absorbed by the black hole. Finally, we derive the LEGUP-corrected temperature, heat capacity and entropy functions of the RN black hole. 相似文献
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A new simpler mathematic method is proposed to study fermions tunneling from black holes. According to this method, by using semiclassical approximation theory, it simplifies the Dirac equation of curved spacetime and then the relationship of the gamma matrix and the component of contravariant metric is considered in order to transform the set of difficult quantum equations into a simple equation. Finally, the fermion tunneling and Hawking radiation of black holes are obtained. The method is very effective and simple, and we will take the Schwarzschild black hole with global monopole and the higher-dimensional Reissner-Nordstrom de Sitter black hole as two examples to show the fact. 相似文献
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The mass of the Schwarzschild black hole, an observable quantity, is defined as a dynamical variable, while the corresponding
conjugate is considered as a generalized momentum. Then a two-dimensional phase space is composed of the two variables. In
the two-dimensional phase space, a harmonic oscillator model of the Schwarzschild black hole is obtained by a canonical transformation.
By this model, the mass spectrum of the Schwarzschild black hole is firstly obtained. Further the horizon area operator, quantum
area spectrum and entropy are obtained in the Fock representation. Lastly, the wave function of the horizon area is derived
also.
Supported by the National Natural Science Foundation of China (Grant No. 10773002) and the Natural Research Foundation of
Heze University (Grant No. XY05WL02) 相似文献