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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 182, Number 2, Pages 350–364
DOI: https://doi.org/10.4213/tmf8775 (Mi tmf8775) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Bigravity in Hamiltonian formalism: The tetrad approach

V. O. Soloviev

Institute for High Energy Physics, National Research Center "Kurchatov Institute," Protvino, Moscow Oblast, Russia
Full-text PDF (410 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf8775
Abstract: We use the tetrad formalism to calculate a matrix square root occurring in the de Rham–Gabadadze–Tolley potential. In the minimal case, we obtain the constraints and their algebra. We show that the number of gravitational degrees of freedom corresponds to the massless and massive gravity fields. The Boulware–Deser ghost is eliminated because of two second-class constraints.
Keywords: bigravity, bimetric gravity, Hamiltonian formalism, massive gravity, theory gravity.
Received: 01.08.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 182, Issue 2, Pages 294–307
DOI: https://doi.org/10.1007/s11232-015-0263-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. O. Soloviev, “Bigravity in Hamiltonian formalism: The tetrad approach”, TMF, 182:2 (2015), 350–364; Theoret. and Math. Phys., 182:2 (2015), 294–307
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8775
  • https://doi.org/10.4213/tmf8775
  • https://www.mathnet.ru/eng/tmf/v182/i2/p350
    • This publication is cited in the following 4 articles:
    1. Soloviev V.O., “Two Approaches to Hamiltonian Bigravity”, Universe, 8:2 (2022), 119  crossref  isi
    2. Soloviev V.O., “Constraint Algebra in Tetrad Bigravity”, Class. Quantum Gravity, 38:2 (2021), 025007  crossref  mathscinet  isi
    3. Soloviev V.O., “The Canonical Structure of Bigravity”, Astron. Rep., 65:10 (2021), 1057–1061  crossref  isi
    4. V. O. Soloviev, “Hamiltonian cosmology of bigravity”, Phys. Part. Nuclei, 48:2 (2017), 287–308  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:355
    Full-text PDF :162
    References:62
    First page:27
     
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