Consistent Hamiltonian Reduction
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911895508746240 |
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| author | Yoon, Jong Hyuk |
| author_facet | Yoon, Jong Hyuk |
| contents | I show that the recently proposed (2+2) Hamiltonian reduction of Einstein's equations of 4-dimensional spacetimes is consistent with general covariance. The consistency proof is {\it extrinsic}, as it follows from the fact that Hamilton's equations derived from the non-zero gravitational Hamiltonian are identical to the Ricci-flat condition of 4-dimensional spacetimes in privileged coordinates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_20557 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Consistent Hamiltonian Reduction Yoon, Jong Hyuk General Relativity and Quantum Cosmology I show that the recently proposed (2+2) Hamiltonian reduction of Einstein's equations of 4-dimensional spacetimes is consistent with general covariance. The consistency proof is {\it extrinsic}, as it follows from the fact that Hamilton's equations derived from the non-zero gravitational Hamiltonian are identical to the Ricci-flat condition of 4-dimensional spacetimes in privileged coordinates. |
| title | Consistent Hamiltonian Reduction |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.20557 |