Fake conformal symmetry in unimodular gravity

Ichiro Oda
Phys. Rev. D 94, 044032 – Published 17 August 2016

Abstract

We study Weyl symmetry (local conformal symmetry) in unimodular gravity. It is shown that the Noether currents for both Weyl symmetry and global scale symmetry vanish exactly as in conformally invariant scalar-tensor gravity. We clearly explain why in the class of conformally invariant gravitational theories, the Noether currents vanish by starting with conformally invariant scalar-tensor gravity. Moreover, we comment on both classical and quantum-mechanical equivalences in Einstein’s general relativity, conformally invariant scalar-tensor gravity, and the Weyl-transverse gravity. Finally, we discuss the Weyl current in the conformally invariant scalar action and see that it is also vanishing.

  • Received 6 June 2016

DOI:https://doi.org/10.1103/PhysRevD.94.044032

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Ichiro Oda*

  • Department of Physics, Faculty of Science, University of the Ryukyus, Nishihara, Okinawa 903-0213, Japan

  • *ioda@phys.u-ryukyu.ac.jp

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Issue

Vol. 94, Iss. 4 — 15 August 2016

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