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1.
本利用李立新和刘辽导出的黑洞视界附近的辐射态方程,计算了约束在一个球形盒子中的自引力辐射体系的熵(不含中心黑洞和含有中心黑洞两种情况)。与Sorkin等人的计算比较,本的结果不会出现发散困难,而且体系的总熵(包括中心黑洞的熵)的上限正好等于坍缩后形成的同质量的黑洞熵。作认为,自引力辐射体系坍缩的合理模式是先形成中心黑洞,然后中心黑洞逐渐长大直至整个体系全部坍缩为黑洞。在坍缩过程中,任一中间态  相似文献   

2.
Bekenstein,Hawking,Gibbons和Perry先后讨论过将一个Schwarzschild黑洞置于一个理想反射壁的盒内,从而使黑洞处于平衡态的问题。本文更广泛地探讨了该体系的热力学特性。从该体系的绝热膨胀过程出发,自然地定义了总熵和黑洞熵。接着我们对该体系的稳定平衡判据作了进一步的讨论。最后,我们分析了黑洞准静蒸发的三个热力学过程:等能膨胀过程、等容放能过程、绝热膨胀过程。  相似文献   

3.
本文在R.D.sorkin等人工作的基础上对自引力球对称电磁辐射体系坍缩为黑洞前的能量密度及最大熵值作了讨论,得到了一些有意义的结果.  相似文献   

4.
在黑洞蒸发的最后阶段其残余质量为Planck质量的量级,因而所对应的黑洞熵为2πk_B量级,在Bekenstein工作的基础上作者导出在吸积物质的过程中黑洞的最小熵增为2πk_B,这一最小熵增又限制能参与吸积物质的黑洞的质量下限为Planck质量的量级,因而所对应的最小黑洞熵也为2πk_B这一量级。作者进一步指出:黑洞的最小熵及最小熵增不受引力常数G变化的影响,因此上述结论在极早期宇宙中也能成立,在上述分析的基础上作者提出一个猜想:黑洞熵可以量子化,其量子单位为2πk_B。  相似文献   

5.
李琛  沈有根 《天文学报》2004,45(1):95-104
运用在brick-wall方法的基础上发展起来的薄膜模型计算了六维动态黑洞的自由能和玻色子熵,然后应用Г矩阵方法计算了费米子熵.结果显示六维动态黑洞的玻色子熵和费米子熵有相同的形式,它们之间只相差一个系数.并且仍然满足Bekenstein-Hawking的熵与面积的关系.  相似文献   

6.
目前,人们对黑洞Bekenstein-Hawking熵的量子修正值产生了极大的兴趣,尤其是黑洞熵对数修正项的系数.在广义不确定关系(GUP)的基础上,通过引入了推广的广义不确定关系(EGUP),运用面积定理计算了3类时空的黑洞熵的修正值,得到的黑洞熵的修正项的系数是正的.这种计算方法不仅对单视界时空适用,而且对有内视界的黑洞时空依然成立,并且在EGUP基础上计算出黑洞熵的修正值.相比GUP基础上得到的黑洞熵,EGUP可以应用于大尺度时空下,所以应用范围更广.此计算方法简洁明了,物理意义明确,可为黑洞熵对数修正值系数的确定提供参考.  相似文献   

7.
运用在砖墙模型方法的基础上发展起来的薄膜模型计算了 1 1维和 2 1维动态时空中的黑洞的熵。结果表明在低维动态时空中 ,黑洞熵仍满足Bekenstein -Hawking熵与面积的关系  相似文献   

8.
本文用线性过程推导出的最大熵谱公式和Burg谱估计法求自回归系数,对短时间序列的非线性的有噪声的谐波过程求最大熵谱。首先用已知频率的谐波加噪声的模拟信号,寻求获得这类过程的短时间序列数据求最大熵谱的规律;然后使用这些规律于真实过程求最大熵谱,求出的周期与实际周期吻合。同时本文还给出这类过程的较长时间序列数据求最大熵谱的经验取阶规津。  相似文献   

9.
结合小波分析和熵的基本理论,在分析国际原子时TAI的基础上,提出了基于小波熵的时间尺度算法.通过对原子钟信号进行多尺度分解,根据能量划分,综合所有尺度的小波系数得到小波熵,然后利用小波熵对原子钟进行加权.最后,通过某实验室的实测数据对算法进行了检验,结果表明:这种方法能够综合各原子钟信号在不同尺度上的频率波动特征,明显提高了时间尺度的稳定度.  相似文献   

10.
运用在砖墙模型方法的基础上发展起来的薄膜模型计算了1 1维和2 1维动态时空中的黑洞的熵。结果表明在低维动态时空中,黑洞熵仍满足Bekenstein—Hawking熵与面积的关系。  相似文献   

11.
In a recent paper it was suggested that inclusion of mutual gravitational interactions can give a possible scenario for reversing gravitation collapse and averting a singular phase. We extend this idea to the still unsolved problem of matter collapsing beyond black hole event horizons. For a comoving observer there is no change in entropy as he goes through the horizon. Matter collapses to a minimum radius, and then can re-expand with the same entropy. It is shown that phase space inside a collapsing black hole is also invariant.  相似文献   

12.
本文利用李立新和刘辽导出的黑洞视界附近的辐射态方程,计算了约束在一个球形盒子中的目引力辐射体系的墙(不含中心黑洞和含有中心黑洞两种情况).与Sorkin等人的计算比较,本文的结果不会出现发散困难,而且体系的总摘(包括中心黑洞的墙)的上阳正好等于坍缩后形成的同质量的黑洞嫡.作者认为,自引力辐射体系坍绩的合理模式是先形成中心黑洞,然后中心黑洞逐渐长大直至整个体系全部坍缩为黑洞.在坍缩过程中,任一中间态的媳总是比末态的黑洞墙小,到坍缩过程结束总熵才等于对应的黑洞摘.这一结果为黑洞滴的起源提供了一个合理的解释.  相似文献   

13.
Using the analytic extension method, we study Hawking radiation of an (n+4)-dimensional Schwarzschild-de Sitter black hole. Under the condition that the total energy is conserved, taking the reaction of the radiation of particles to the spacetime into consideration and considering the relation between the black hole event horizon and cosmological horizon, we obtain the radiation spectrum of de Sitter spacetime. This radiation spectrum is no longer a strictly pure thermal spectrum. It is related to the change of the Bekenstein-Hawking (B-H) entropy corresponding the black hole event horizon and cosmological horizon. The result satisfies the unitary principle. At the same time, we also testify that the entropy of de Sitter spacetime is the sum of the entropy of black hole event horizon and the one of cosmological horizon.  相似文献   

14.
Using the quantum statistical method, we calculate quantum statistical entropy between the black hole horizon and the cosmological horizon in Schwarzchild spacetime and derive the expression of quantum statistical entropy in de Sitter spacetime. Under the Unruh-Verlinde temperature of Schwarzchild-de Sitter spacetime in the entropic force views, we obtain the expression of quantum statistical entropy in de Sitter spacetime. It is shown that in de Sitter spacetime quantum statistical entropy is the sum of thermodynamic entropy corresponding black hole horizon and the one corresponding cosmological horizon. And the correction term of de Sitter spacetime entropy is obtained. Therefore, it is confirmed that the black hole entropy is the entropy of quantum field outside the black hole horizon. The entropy of de Sitter spacetime is the entropy of quantum field between the black hole horizon and the cosmological horizon.  相似文献   

15.
The thermal character of inner horizon in a Reissner-Nordstrom black hole is studied via Hamilton-Jacobi method. There is “Hawking absorption” as a quantum effect near the inner horizon, and a negative temperature of the inner horizon was attained by choosing an observer outside the black hole. Using a redefined entropy of the black hole, we give a new expression of Bekenstein-Smarr formula. The redefined entropy satisfies Nernst Theorem, so it can be regarded as Planck absolute entropy of the Reissner-Nordstrom black hole.  相似文献   

16.
Using Unruh-Verlinde temperature obtained by entropic force, we directly calculate partition functions of quantum field in Schwarzschild spacetime via quantum statistical method and derive the expression of the black hole statistical entropy. In our calculation the lower limit of integral is the location of isolated horizon introduced in loop quantum gravity and the upper limit of integral is infinity. So the obtained entropy is the statistical entropy from isolated horizon to the infinite. In our calculation there are not the cutoff and approximation. The results showed that, as long as proper Immirzi parameters are selected, the entropy obtained by loop quantum gravity is consistent with the quantum statistical entropy outside the black hole horizon. Therefore the black hole entropy is a quantum entanglement entropy outside the isolated horizon.  相似文献   

17.
The present research paper discusses the derivation for the change in entropy of Non- spinning black holes with respect to the change in the radius of event horizon applying the first law of black hole mechanics ( $\delta M = \frac{\kappa}{8\pi} \delta A + \varOmega\delta J - \upsilon\delta Q$ ) with the relation for the change in entropy δS=8πMδM. When the work is further extended with proper operation, the entropy of black hole is obtained almost the same as the Bekenstein-Hawking entropy of black hole. This is the entirely new method to obtain the change in entropy of Non-spinning black holes w.r.t. the radius of event horizon and Hawking entropy of black hole. We have also calculated their values for different types of test non-spinning black holes having masses 5–20M found in X-ray binaries (Narayan, gr-qc/0506078v1, 2005).  相似文献   

18.
Considering the fact that there is a correlation between the black hole horizon and cosmological horizon, we discuss the thermodynamic properties of de Sitter spacetime. The equivalent temperature and energy of de Sitter spacetime are obtained. It is shown that the upper limit energy of de Sitter spacetime is equal to the energy of a pure de Sitter spacetime. The thermodynamic entropy of de Sitter spacetime is the sum of the black hole horizon thermodynamic entropy and the one of cosmological horizon.  相似文献   

19.
We demonstrate how Sakharov's idea of induced gravity allows one to explain the statistical-mechanical origin of the entropy of a black hole. According to this idea, gravity becomes dynamical as the result of quantum effects in the system of heavy constituents of the underlying theory.The black hole entropy is related to the properties of the vacuum in the induced gravity in the presence of the horizon. We obtain the Bekenstein-Hawking entropy by direct counting the states of the constituents.  相似文献   

20.
By means of the semiclassical approximations for the action, the horizon of Kerr-Sen black hole is studied. The corrected entropy of the Kerr-Sen black hole in a low-energy string theory is calculated. By assumption of a flat Friedman-Robertson-Walker (F.R.W.) geometries, we study horizon and present the semi-classic approximation affects of the thermodynamics properties. We discuss some physical consequences of this result and the properties of the Kerr-Sen black hole.  相似文献   

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