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Canonial analysis of general relativity formulated with the new metric f^ab = (-g)^alpha g^ab

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KLUSOŇ Josef

Rok publikování 2024
Druh Článek v odborném periodiku
Časopis / Zdroj General Relativity and Gravitation
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://link.springer.com/article/10.1007/s10714-024-03258-0
Doi http://dx.doi.org/10.1007/s10714-024-03258-0
Klíčová slova Alternative theories of gravity; Canonical Formalism; General Aspects of Gravity
Popis 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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