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Losing the trace to find dynamical Newton or Planck constants

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F21%3A00554630" target="_blank" >RIV/68378271:_____/21:00554630 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/21:10438357

  • Result on the web

    <a href="https://doi.org/10.1088/1475-7516/2021/04/028" target="_blank" >https://doi.org/10.1088/1475-7516/2021/04/028</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1088/1475-7516/2021/04/028" target="_blank" >10.1088/1475-7516/2021/04/028</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Losing the trace to find dynamical Newton or Planck constants

  • Original language description

    We show that promoting the trace part of the Einstein equations to a trivial identity results in the Newton constant being an integration constant. Thus, in this formulation the Newton constant is a global dynamical degree of freedom which is also a subject to quantization and quantum fluctuations. This is similar to what happens to the cosmological constant in the unimodular gravity where the trace part of the Einstein equations is lost in a different way. We introduce a constrained variational formulation of these modified Einstein equations. Then, drawing on analogies with the Henneaux-Teitelboim action for unimodular gravity, we construct different general-covariant actions resulting in these dynamics. The inverse of dynamical Newton constant is canonically conjugated to the Ricci scalar integrated over spacetime. Surprisingly, instead of the dynamical Newton constant one can formulate an equivalent theory with a dynamical Planck constant.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10303 - Particles and field physics

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Cosmology and Astroparticle Physics

  • ISSN

    1475-7516

  • e-ISSN

    1475-7516

  • Volume of the periodical

    4

  • Issue of the periodical within the volume

    Apr.

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    27

  • Pages from-to

    028

  • UT code for WoS article

    000644501000039

  • EID of the result in the Scopus database

    2-s2.0-85104507892