中文题名: | 含有暗能量的宇宙热力学 |
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学科代码: | 070201 |
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学生类型: | 硕士 |
学位: | 理学硕士 |
学位年度: | 2011 |
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研究方向: | 引力与广义相对论 |
第一导师姓名: | |
第一导师单位: | |
提交日期: | 2011-06-29 |
答辩日期: | 2011-06-03 |
中文摘要: |
本文主要讨论了宇宙热力学第一定律和第二定律。主要分四章:在第一章中,主要介绍了蔡荣根和Karami等人的工作,在不考虑暗能量的情况下,从弗里德曼方程出发,推导热力学第一定律,并验证热力学第二定律。证明了若取表观视界为热力学的边界,则热力学定律是满足的;而若取事件视界为热力学的边界,热力学定律是不满足的。在第二章中,由于1998年超新星数据观测的结果显示宇宙的加速膨胀,引入暗能量模型。在考虑暗能量的情况下,讨论宇宙的热力学第一定律和第二定律。我们考虑了 模型宇宙、Chaplygin气体模型以及粘性流体暗能量模型,证明它们都在表观视界内部满足热力学第一定律和第二定律。最后,给出了一般结论,不管宇宙内部的物质能量组分为怎样,在表观视界内部,热力学定律都恒成立。在第三章中,考虑了圈量子效应对视界熵进行修正。考虑熵修正后,为满足热力学第一定律,弗里德曼方程也要进行相应修改。再次考虑 模型宇宙、Chaplygin气体模型以及粘性流体暗能量模型,在熵修正后,热力学第一定律和第二定律都成立。最后,同样也给出一般结论,在考虑圈量子对视界的熵进行修正后,不管宇宙内部的物质能量组分为怎样,在表观视界内部,热力学定律都恒成立。在第四章中,给出总结,得出一般的结论。
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外文摘要: |
The thermodynamics of cosmology is discussed in this thesis, and the thesis is written in four chapters as follows: In the first chapter, we introduce the work of R. G. Cai and Karami. The Friedmann equation can be derived from the first law of thermodynamics without considering the dark energy. And the second law of thermodynamics can also be proved. If the apparent horizon is considered the boundary of the thermodynamics, the thermodynamics is hold. But if the event horizon is considered the boundary, the thermodynamics does not satisfy. In the second chapter, we consider the dark energy, because the result of observations of type Ⅰa supernova, which shows that the universe is accelerating. The model of ,Chaplygin gas and the viscous dark energy are discussed to verify the fist law and the second law of the thermodynamics. Finally, we give out an ordinary result that the thermodynamics are always satisfied inside the apparent horizon, no matter the matter and the energy is. In the third chapter, the entropy is corrected because of the effect of the loop quantum. To satisfy the first law of the thermodynamics, the Fridmann equation should be corrected too. We also consider the model of , Chaplygin gas and the viscous dark energy, and the thermodynamics are also hold. Finally, we give out an ordinary result that the thermodynamics are always satisfied inside the apparent horizon, considering the corrected entropy.In the last chapter, we give a conclusion and result.
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参考文献总数: | 61 |
馆藏号: | 硕070201/1108 |
开放日期: | 2011-06-29 |