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Geometric conservation in curved spacetime and entropy.

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Title: Geometric conservation in curved spacetime and entropy.
Authors: Aoki, Sinya1 (AUTHOR) saoki@yukawa.kyoto-u.ac.jp, Hidaka, Yoshimasa2,3 (AUTHOR) yoshimasa.hidaka@yukawa.kyoto-u.ac.jp, Kawana, Kiyoharu4 (AUTHOR) kkiyoharu@kias.re.kr, Shimada, Kengo1 (AUTHOR) kengo.shimada@yukawa.kyoto-u.ac.jp
Source: European Physical Journal C -- Particles & Fields. Apr2025, Vol. 85 Issue 4, p1-8. 8p.
Subjects: Curved spacetime, Conserved quantity, Entropy, Fluids, Definitions
Abstract: We provide an improved definition of new conserved quantities derived from the energy–momentum tensor in curved spacetime by introducing an additional scalar function. We find that the conserved current and the associated conserved charge become geometric under a certain initial condition of the scalar function, and show that such a conserved geometric current generally exists in curved spacetime. Furthermore, we demonstrate that the geometric conserved current agrees with the entropy current in an effective theory of a perfect fluid, thus the conserved charge is the total entropy of the system. While the geometric charge can be regarded as the entropy for a nondissipative fluid, its physical meaning should be investigated for more general cases. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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  Data: Geometric conservation in curved spacetime and entropy.
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  Data: <searchLink fieldCode="AR" term="%22Aoki%2C+Sinya%22">Aoki, Sinya</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> saoki@yukawa.kyoto-u.ac.jp</i><br /><searchLink fieldCode="AR" term="%22Hidaka%2C+Yoshimasa%22">Hidaka, Yoshimasa</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> yoshimasa.hidaka@yukawa.kyoto-u.ac.jp</i><br /><searchLink fieldCode="AR" term="%22Kawana%2C+Kiyoharu%22">Kawana, Kiyoharu</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> kkiyoharu@kias.re.kr</i><br /><searchLink fieldCode="AR" term="%22Shimada%2C+Kengo%22">Shimada, Kengo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> kengo.shimada@yukawa.kyoto-u.ac.jp</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Apr2025, Vol. 85 Issue 4, p1-8. 8p.
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  Data: We provide an improved definition of new conserved quantities derived from the energy–momentum tensor in curved spacetime by introducing an additional scalar function. We find that the conserved current and the associated conserved charge become geometric under a certain initial condition of the scalar function, and show that such a conserved geometric current generally exists in curved spacetime. Furthermore, we demonstrate that the geometric conserved current agrees with the entropy current in an effective theory of a perfect fluid, thus the conserved charge is the total entropy of the system. While the geometric charge can be regarded as the entropy for a nondissipative fluid, its physical meaning should be investigated for more general cases. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1140/epjc/s10052-025-14138-5
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      – Code: eng
        Text: English
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        PageCount: 8
        StartPage: 1
    Subjects:
      – SubjectFull: Curved spacetime
        Type: general
      – SubjectFull: Conserved quantity
        Type: general
      – SubjectFull: Entropy
        Type: general
      – SubjectFull: Fluids
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      – SubjectFull: Definitions
        Type: general
    Titles:
      – TitleFull: Geometric conservation in curved spacetime and entropy.
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            NameFull: Aoki, Sinya
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            NameFull: Hidaka, Yoshimasa
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            NameFull: Kawana, Kiyoharu
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            NameFull: Shimada, Kengo
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            – D: 01
              M: 04
              Text: Apr2025
              Type: published
              Y: 2025
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              Value: 85
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            – TitleFull: European Physical Journal C -- Particles & Fields
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