Geometric conservation in curved spacetime and entropy
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866916551413727232 |
|---|---|
| author | Aoki, Sinya Hidaka, Yoshimasa Kawana, Kiyoharu Shimada, Kengo |
| author_facet | Aoki, Sinya Hidaka, Yoshimasa Kawana, Kiyoharu Shimada, Kengo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_09712 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Geometric conservation in curved spacetime and entropy Aoki, Sinya Hidaka, Yoshimasa Kawana, Kiyoharu Shimada, Kengo High Energy Physics - Theory General Relativity and Quantum Cosmology Fluid Dynamics 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. |
| title | Geometric conservation in curved spacetime and entropy |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Fluid Dynamics |
| url | https://arxiv.org/abs/2312.09712 |