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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00139633" target="_blank" >RIV/00216224:14310/24:00139633 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10714-024-03258-0" target="_blank" >https://link.springer.com/article/10.1007/s10714-024-03258-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10714-024-03258-0" target="_blank" >10.1007/s10714-024-03258-0</a>

Result language
angličtina
Original language name
Canonial analysis of general relativity formulated with the new metric f^ab = (-g)^alpha g^ab
Original language 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}.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences

Project
<a href="/en/project/GA23-06498S" target="_blank" >GA23-06498S: Dualities and higher derivatives</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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