Canonial analysis of general relativity formulated with the new metric f^ab = (-g)^alpha g^ab
| Authors | |
|---|---|
| Year of publication | 2024 |
| Type | Article in Periodical |
| Magazine / Source | General Relativity and Gravitation |
| MU Faculty or unit | |
| Citation | |
| web | https://link.springer.com/article/10.1007/s10714-024-03258-0 |
| Doi | http://dx.doi.org/10.1007/s10714-024-03258-0 |
| Keywords | Alternative theories of gravity; Canonical Formalism; General Aspects of Gravity |
| Description | In this short note we investigate canonical formalism for General Relativity which is formulated with the metric f^{ab}=(-g)^\alpha g^{ab}. We find corresponding Hamiltonian and we show that constraint structure is the same as in the standard formulation. We also analyze another model when the spatial part of metric h^{ij} is related with the new one by relation a^{ij}=(\det h_{ij})^\beta h^{ij} and we argue that it corresponds to the gauge fixed version of the General Relativity formulated with the metric f^{ab}=(-g)^\alpha g^{ab}. |
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