Energy-momentum Tensor: Noether vs Hilbert
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909184770965504 |
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| author | Hosoya, Akio Fujii, Shunsuke |
| author_facet | Hosoya, Akio Fujii, Shunsuke |
| contents | We revisit the old problem of the energy-momentum tensor in general relativistic field theories. On the basis of the general covariance we derive a simple equation for the Hilbert and Noether energy-momentum tensors for the scalar and electromagnetic field theories. We see that the two definitions of energy-momentum tensors coincide and identify the Noether current if the space-time has the Killing vector. Relation to the Wald entropy is also briefly discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17457 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Energy-momentum Tensor: Noether vs Hilbert Hosoya, Akio Fujii, Shunsuke General Relativity and Quantum Cosmology We revisit the old problem of the energy-momentum tensor in general relativistic field theories. On the basis of the general covariance we derive a simple equation for the Hilbert and Noether energy-momentum tensors for the scalar and electromagnetic field theories. We see that the two definitions of energy-momentum tensors coincide and identify the Noether current if the space-time has the Killing vector. Relation to the Wald entropy is also briefly discussed. |
| title | Energy-momentum Tensor: Noether vs Hilbert |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2403.17457 |