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| 1 | Foliation and the First Law of Black Hole Thermodynamics显示文摘There has been lots of interest in exploring the thermodynamic properties at the horizon of a black hole spacetime.It has been shown earlier that for different spacetimes,the Einstein field equations at the horizon can be expressed as the first law of black hole thermodynamics.Using the idea of foliation,we develop a simpler procedure toobtain such results.We considerγ=constant slices,for the Schwarzschild and Reissner-Nordstrom black hole spacetimes.The Einstein field equations for the induced 3-dimensional metrics of the hypersurfaces are expressed in thermodynamic quantities under the virtual displacements of the hypersurfaces.As expected,it is found that the field equations of the induced metric corresponding to the horizon can be written as afirst law of black hole thermodynamics.It is to be mentioned here that our procedure is much easier,to obtain such results,as here one has to essentially deal with(n-1)-dimensional induced metric for an n-dimensional spacetime. | Azad A.Siddiqui Syed Muhammad Jawwad Riaz M.Akbar | 2011 | Chinese Physics Letters2011，28，5： | 0 |
| 2 | Generalized Second Law of Thermodynamics in Wormhole Geometry with Logarithmic Correction显示文摘We construct various cases for validity of the generalized second law(GSL)of thermodynamics by assuming the logarithmic correction to the horizon entropy of an evolving wormhole.It is shown that the GSL is always respected forα0≤0,whereas forα0>0 the GSL is respected only ifπr2A+/ℏ<α. | Faiz-ur-Rahman Salahuddin M.Akbar | 2011 | Chinese Physics Letters2011，28，7： | 0 |
| 3 | Ricci Symmetries of Static Space-Times with Maximal Symmetric Transverse Spaces显示文摘在纸[M。Akbar 和 R.G 蔡, Commun。Theor。Phys。45 (2006 ) 95 ] ,一个完全的分类提供向量地 V 的至少一个部件是零。在这篇论文,我与所有非零部件认为向量地是 V,有最大的对称的横向的空格的静态的空间时间根据他们的 Ricci 关口线条被分类。这些为非退化的 Ricci 张肌 det R ≠
被调查0。结果唯一的关口线条由这些承认空格能是十,七,六或四。它也作为一个空间案例盖住我们的以前的结果。承认合适的 Ricci 关口线条的一些新度量标准也被调查。 | M.Akbar | 2008 | Communications in Theoretical Physics2008，49，5： | 0 |
| 4 | Thermodynamic Analysis of Cosmological Black Hole显示文摘The objective of this paper is to investigate the thermodynamic properties of Mc Vittie universe. It turns out that the Einstein field equations are obtained by using Clausius equation near apparent horizon of Mc Vittie universe.For the existence of horizons, different conditions in terms of Mc Vittie parameters are discussed. Diverse cases of surface gravity are studied and conditions in terms of parameters for which surface gravity is positive, zero and negative are obtained and analyzed. It is shown that the generalized second law(GSL) holds near the apparent horizon if˙RA > 0.Our results show that the heat capacity, CP, of the universe is always negative for matter dominated phase having P = 0. On the other hand, when P > 0, the heat capacity CP > 0 provided RA >√2/√8πP- 3H2 and negative otherwise. Furthermore, when P > 0, the temperature of the universe is minimum at Rmin =√2/√8πP- 3H2 while its heat capacity diverges. | M.Akbar Tayeb Brahimi S.M.Qaisar | 2017 | Communications in Theoretical Physics2017，67，1： | 0 |
| 5 | Thermodynamics of the Bardeen Regular Black Hole显示文摘We deal with the thermodynamic properties of the Bardeen regular black hole with reference to their respective horizons.It is argued here that the expression of the heat capacity at horizons is positive in one parameter region and negative in the other,and between them the heat capacity diverges where the black hole undergoes the second-order phase transition. | M.Akbar Nema Salem S.A.Hussein | 2012 | Chinese Physics Letters2012，29，7： | 0 |
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