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General proof of (maximum) entropy principle in Lovelock gravity
Cao, LM; Xu, JF; Xu, JF (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
2015
发表期刊PHYSICAL REVIEW D
卷号91期号:4页码:44029
文章类型Article
摘要We consider a static self-gravitating perfect fluid system in Lovelock gravity theory. For a spacial region on the hypersurface orthogonal to static Killing vector, by the Tolman's law of temperature, the assumption of a fixed total particle number inside the spacial region, and all of the variations (of relevant fields) in which the induced metric and its first derivatives are fixed on the boundary of the spacial region, then with the help of the gravitational and fluid equations of the theory, we can prove a theorem says that the total entropy of the fluid in this region takes an extremum value. A converse theorem can also be obtained following the reverse process of our proof. We also propose the definition of isolation quasilocally for the system and explain the physical meaning of the boundary conditions in the proof of the theorems.
学科领域Astronomy & Astrophysics ; Physics
资助者National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010]
DOIhttp://dx.doi.org/10.1103/PhysRevD.91.044029
关键词[WOS]EQUATIONS ; ENERGY ; TENSOR ; TERMS
收录类别SCI
语种英语
资助者National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010] ; National Natural Science Foundation of China [11205148, 11235010]
WOS类目Astronomy & Astrophysics ; Physics, Particles & Fields
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/21091
专题理论物理所SCI论文
通讯作者Xu, JF (reprint author), Univ Sci & Technol China, Interdisciplinary Ctr Theoret Study, Hefei 230026, Anhui, Peoples R China.
推荐引用方式
GB/T 7714
Cao, LM,Xu, JF,Xu, JF . General proof of (maximum) entropy principle in Lovelock gravity[J]. PHYSICAL REVIEW D,2015,91(4):44029.
APA Cao, LM,Xu, JF,&Xu, JF .(2015).General proof of (maximum) entropy principle in Lovelock gravity.PHYSICAL REVIEW D,91(4),44029.
MLA Cao, LM,et al."General proof of (maximum) entropy principle in Lovelock gravity".PHYSICAL REVIEW D 91.4(2015):44029.
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