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Noether charge formalism for Weyl invariant theories of gravity

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10447254" target="_blank" >RIV/00216208:11320/22:10447254 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=4ZTEacMXUr" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=4ZTEacMXUr</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1103/PhysRevD.106.064024" target="_blank" >10.1103/PhysRevD.106.064024</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Noether charge formalism for Weyl invariant theories of gravity

  • Original language description

    Gravitational theories invariant under transverse diffeomorphisms and Weyl transformations have the same classical solutions as the corresponding fully diffeomorphism invariant theories. However, they solve some of the problems related to the cosmological constant and in principle allow local energy nonconservation. In the present work, we obtain the Noether charge formalism for these theories. We first derive expressions for the Noether currents and charges corresponding to transverse diffeomorphisms and Weyl transformations, showing that the latter vanish identically. We then use these results to obtain an expression for a perturbation of a Hamiltonian corresponding to evolution along a transverse diffeomorphism generator. From this expression, we derive the first law of black hole mechanics, identifying the total energy, the total angular momentum, the Wald entropy, and the contributions of the cosmological constant perturbations and energy nonconservation. Lastly, we extend our formalism to derive the first law of causal diamonds.

  • 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

    10300 - Physical sciences

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Physical Review D

  • ISSN

    2470-0010

  • e-ISSN

    2470-0029

  • Volume of the periodical

    2022

  • Issue of the periodical within the volume

    106

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    18

  • Pages from-to

    064024

  • UT code for WoS article

    001037459800014

  • EID of the result in the Scopus database

    2-s2.0-85138217874