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He Ping; He, P , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100080, Peoples R China
Remarks on Definitions of Perturbation in General Relativity
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
KeywordCosmological Perturbations Gauge Transformations Invariance 2nd-order Spacetime Universe
AbstractThere are two kinds of definitions of perturbation of physical quantities in the framework of general relativity: one is direct, the other is geometrical. Correspondingly, there are two types of gauge transformation related with these two definitions. The passive approach is based on the property of general covariance, and the active one is through the action of Lie-derivative. Although under a proper coordinate choice, the two approaches seem to agree with each other, they are different in nature. The geometrical definition of relativistic perturbation and the active approach for gauge transformation are more rigorous in mathematics and less confusing in physical explanation. The direct definition, however, seems to be plagued with difficulties in physical meaning, and the passive approach is more awkward to use, especially for high-order gauge transformations.
2009
ISSN0253-6102
Volume51Issue:2Pages:375-377
Subject AreaPhysics
Indexed BySCI
Funding OrganizationScientific Research Foundation for the Returned Overseas Chinese Scholars; Ministry of Education; Chinese Academy of Sciences[KJCX3-SYW-N2.] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars; Ministry of Education; Chinese Academy of Sciences[KJCX3-SYW-N2.] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars; Ministry of Education; Chinese Academy of Sciences[KJCX3-SYW-N2.] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars; Ministry of Education; Chinese Academy of Sciences[KJCX3-SYW-N2.]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5397
CollectionSCI期刊论文
Corresponding AuthorHe, P , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
He Ping,He, P , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100080, Peoples R China. Remarks on Definitions of Perturbation in General Relativity[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2009,51(2):375-377.
APA He Ping,&He, P , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100080, Peoples R China.(2009).Remarks on Definitions of Perturbation in General Relativity.COMMUNICATIONS IN THEORETICAL PHYSICS,51(2),375-377.
MLA He Ping,et al."Remarks on Definitions of Perturbation in General Relativity".COMMUNICATIONS IN THEORETICAL PHYSICS 51.2(2009):375-377.
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