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タイトル: Conserved charges in general relativity
著者: Aoki, Sinya
Onogi, Tetsuya
Yokoyama, Shuichi
著者名の別形: 青木, 愼也
大野木, 哲也
横山, 修一
キーワード: Field theory on curved space–time
conserved charge
black hole
general relativity
energy–momentum tensor
compact star
Oppenheimer–Volkoff equation
発行日: Apr-2021
出版者: World Scientific Pub Co Pte Lt
誌名: International Journal of Modern Physics A
巻: 36
号: 10
論文番号: 2150098
抄録: We present a precise definition of a conserved quantity from an arbitrary covariantly conserved current available in a general curved space–time with Killing vectors. This definition enables us to define energy and momentum for matter by the volume integral. As a result we can compute charges of Schwarzschild and BTZ black holes by the volume integration of a delta function singularity. Employing the definition we also compute the total energy of a static compact star. It contains both the gravitational mass known as the Misner–Sharp mass in the Oppenheimer–Volkoff equation and the gravitational binding energy. We show that the gravitational binding energy has the negative contribution at maximum by 68% of the gravitational mass in the case of a constant density. We finally comment on a definition of generators associated with a vector field on a general curved manifold.
著作権等: © The Author(s)
This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
URI: http://hdl.handle.net/2433/266162
DOI(出版社版): 10.1142/s0217751x21500986
出現コレクション:学術雑誌掲載論文等

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