共查询到20条相似文献,搜索用时 437 毫秒
1.
Zhang Ya Hu Shuang-Qi Zhao Ren Li Huai-Fan 《International Journal of Theoretical Physics》2008,47(2):520-525
Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking black hole
entropy. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the
black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing
the generalized uncertainty principle and obtain the correction term caused by the generalized uncertainty principle. Because
in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty
principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is positive. This
result is different from the known result at present. Our method is valid not only for single horizon spacetime but also for
spin axial symmetric spacetimes with double horizons. In the whole process, the physics idea is clear and calculation is simple.
It offers a new way for studying the entropy correction of the complicated spacetime. 相似文献
2.
Recently, there has been much attention devoted to resolving the quantum corrections to the BekensteinHawking black hole entropy. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty principle and obtain the correction term caused by the generalized uncertainty principle. Because in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is positive. This result is different from the known result at present. Our method is valid not only for four-dimensional spacetimes but also for higher-dimensional spacetimes. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the entropy correction of the complicated spacetime. 相似文献
3.
ZHAO Hai-Xia LI Huai-Fan HU Shuang-Qi ZHAO Ren 《理论物理通讯》2007,48(3):465-468
Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-- Hawking black hole entropy. In particular, many researchers have expressed a vested interest in the coetticient of the logarithmic term of the black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty prlnciple and obtain the correction term caused by the generalized uncertainty principle. Because in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is positive. This result is different from the known result at present. Our method is valid not only for four-dimensional spacetimes but also for higher-dimensional spacetimes. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the entropy correction of the complicated spacetime. 相似文献
4.
Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein–Hawking black hole entropy. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the black hole entropy correction term. In this Letter, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty principle and obtain the correction terms of entropy, temperature and energy caused by the generalized uncertainty principle. We calculate Cardy–Verlinde formula after considering the correction. In our calculation, we only think that the Bekenstein–Hawking area theorem is still valid after considering the generalized uncertainty principle and do not introduce any assumption. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the corrections caused by the generalized uncertainty principle to the black hole thermodynamic quantity of the complicated spacetime. 相似文献
5.
通过应用在量子引力中,由广义测不准关系得出的新的态密度方程,研究三维BTZ背景下黑洞的熵.当取广义测不准关系中引入的,具有Planck量级与空间维数有关的常数λ为特定值时,得到BTZ黑洞Bekenstein-Hawking 熵和修正项.由于利用新的态密度方程,在计算中不存在用brick-wall模型计算黑洞熵时出现的发散项和小质量近似.所得结论,从量子统计力学角度给出了黑洞Bekenstein-Hawking 熵的修正值,使人们对黑洞熵的修正值有更深入的认识.
关键词:
广义测不准关系
量子统计
BTZ黑洞熵 相似文献
6.
Huaifan Li Huihua Zhao Lichun Zhang 《International Journal of Theoretical Physics》2013,52(2):362-367
Using the new equation of state density from the generalized uncertainty principle in quantum gravity, we study statistical entropy of a dielectric black hole. When λ introduced in the generalized uncertainty principle takes a specific value, we find that the leading term of the statistical entropy of the dielectric black hole takes the Bekenstein-Hawking entropy form. In addition a finite correction term is also obtained. Comparing with the original brick-wall model, in our calculation there is no divergence and the small mass approximation is also not needed. 相似文献
7.
Yumi Ko Sunggeun Lee Soonkeon Nam 《International Journal of Theoretical Physics》2010,49(6):1384-1395
In this paper we propose a way of determining the subleading corrections to the Bekenstein-Hawking black hole entropy by considering
a modified generalized uncertainty principle with two parameters. In the context of modified generalized uncertainty principle,
coefficients of the correction terms of black hole entropy are written in terms of combination of the parameters. We also
obtained the corrections to the Stefan-Boltzman law and the black hole evaporation in terms of the parameters. By estimating
those parameters, say by experiment, one can test results from other context of quantum gravity theories such as black hole
entropy. 相似文献
8.
Ren Zhao Lichun Zhang Yueqin Wu Huaifan Li 《International Journal of Theoretical Physics》2009,48(11):3220-3227
Recently, there has been much attention devoted to the correction to the black hole radiation spectrum and the quantum corrections
to Bekenstein-Hawking entropy. In particular, many researchers have expressed a vested interest in the coefficient of the
logarithmic term of the black hole entropy correction term. In this paper, we calculate the radiation spectrum of arbitrary
dimension Schwarzschild black hole after considering the generalized uncertainty principle. The correction value of Bekenstein-Hawking
entropy is derived. 相似文献
9.
Li-Chun Zhang Huai-Fan Li Ren Zhao Yue-Qin Wu 《International Journal of Theoretical Physics》2008,47(7):2021-2028
Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking black hole
entropy. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the
black hole entropy correction term. In this paper, based on the correction to black hole thermodynamic quantity due to the
generalized uncertainty principle, we calculate the partition function by energy spectrum obtained using tunneling effect.
Furthermore we derive the black hole entropy. In the expression, we not only consider the generalized uncertainty principle
but also consider the departure of black hole radiation spectrum from pure thermal spectrum. According to criterion law of
thermodynamic systems phase transition, we discuss the phase transition of AdS black hole and derive that the phase transition
of AdS black hole is a secondary one. 相似文献
10.
Utilizing the quantum statistical method and applying the new state density equation motivated by generalized uncertainty principle in quantum gravitaty, we avoid the difficulty in solving wave equation and directly calculate the partition function ofbosonic and fermionic field on the background of rotating and charged black string. Then near the cosmological horizon, entropies of bosonic and fermionic field are calculated on the background of black string. When constant λ introduced ingeneralized uncertainty principle takes a proper value, we derive Bekenstein-Hawking entropy and the correction value corresponding cosmological horizon on the background of rotating and charged black string. Because we use the new state density equation, in our calculation there are not divergent term and small massapproximation in the original brick-wall method. From the view of quantum statistic mechanics, the correction value to Bekenstein-Hawking entropy of the black string is derived. It makes people deeply understand the correction value to the entropyof the black string cosmological horizon in non-spherical coordinate spacetime. 相似文献
11.
Liu ChengZhou 《中国科学G辑(英文版)》2008,51(2):113-125
12.
The generalized uncertainty relation is introduced to calculate quantum statistic entropy of a black hole. By using the new equation of state density motivated by the generalized
uncertainty relation, we discuss entropies of Bose field and Fermi
field on the background of the five-dimensional spacetime. In our
calculation, we need not introduce cutoff. There is not the divergent logarithmic term as in the original brick-wall method. And it is obtained that the quantum statistic entropy corresponding to black hole horizon is proportional to the area of the horizon.
Further it is shown that the entropy of black hole is the entropy of
quantum state on the surface of horizon. The black hole's entropy
is the intrinsic property of the black hole. The entropy is a
quantum effect. It makes people further understand the quantum statistic entropy. 相似文献
13.
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
14.
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
15.
本文延拓Damour-Ruffini方法,研究Kerr-Newman-de Sitter黑洞的Hawking辐射.在保持时空中总能量,总角动量和总电荷守恒的条件下,考虑辐射粒子对时空的反作用与黑洞事件视界和宇宙视界的相互关联后,得到了黑洞辐射谱.此辐射不再是严格的纯热谱与黑洞事件视界和宇宙视界对应Bekenstein-Hawking熵变有关.研究发现其结果仍然符合幺正性原理. 同时给出了黑洞Bekenstein-Hawking熵的修正项. 使人们对黑洞热辐射的研究有了进一步的认识. 相似文献
16.
本文延拓Damour-Ruffini方法,研究Kerr-Newman-de Sitter黑洞的Hawking辐射.在保持时空中总能量,总角动量和总电荷守恒的条件下,考虑辐射粒子对时空的反作用与黑洞事件视界和宇宙视界的相互关联后,得到了黑洞辐射谱.此辐射不再是严格的纯热谱与黑洞事件视界和宇宙视界对应Bekenstein-Hawking熵变有关.研究发现其结果仍然符合幺正性原理.同时给出了黑洞Bekenstein-Hawking熵的修正项.使人们对黑洞热辐射的研究有了进一步的认识. 相似文献
17.
The generalized uncertainty relation is introduced to calculate the quantum statistical entropy corresponding to cosmic horizon.
By using the new equation of state density motivated by the generalized uncertainty relation, we discuss entropies of Bose
field and Fermi field on the background of five-dimensional spacetime. In our calculation, we need not introduce cutoff. There
is no divergent logarithmic term in the original brick-wall method. And it is obtained that the quantum statistical entropy
corresponding to cosmic horizon is proportional to the area of the horizon. Further it is shown that the entropy corresponding
to cosmic horizon is the entropy of quantum state on the surface of horizon. The black hole’s entropy is the intrinsic property
of the black hole. The entropy is a quantum effect. In our calculation, by using the quantum statistical method, we obtain
the partition function of Bose field and Fermi field on the background of five-dimensional spacetime. We provide a way to
study the quantum statistical entropy corresponding to cosmic horizon in the higher-dimensional spacetime.
Supported by the National Natural Science Foundation of China (Grant No. 10374075) and the Natural Science Foundation of Shanxi
Province, China (Grant No. 2006011012) 相似文献
18.
Taking WKB approximation to solve the scalar field equation in the Garfinkle-Horowitz-Strominger (GHS) black hole spacetime,
we can get the classical momenta. Substituting the classical momenta into state density equation corrected by the generalized
uncertainty principle, we will obtain the number of quantum states with energy less than ω. It is convergent in the neighborhood of the horizon. Then, it is used to calculate the statistical-mechanical entropy of
the scalar field in the GHS black hole spacetime. The calculation shows that the entropy is proportional to the horizon area. 相似文献
19.
20.
ZHANG Li-Chun WU Yue-Qin LI Huai-Fan ZHAO Ren 《理论物理通讯》2008,50(7):97-100
Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein- Hawking black hole entropy. The different correction leading terms are obtained by the different methods. In this paper, we calculate the correction to SAdS5 black hole thermodynamic quantity due to the generalized uncertainty principle. Furthermore we derive that the black hole entropy obeys Bekenstein Hawking area theorem. The entropy has infinite correction terms. And every term is finite and calculable. The corrected Cardy-Vedinde formula is derived. In our calculation, Bekenstein Hawking area theorem still holds after considering the generalized uncertainty principle. We have not introduced any hypothesis. The calculation is simple. Physics meaning is clear. We note that our results are quite general. It is not only valid for four-dimensional spacetime but also for higher-dimensional SAdS spacetime. 相似文献