Derivative-dependent metric transformation and physical degrees of freedom

Guillem Domènech, Shinji Mukohyama, Ryo Namba, Atsushi Naruko, Rio Saitou, Yota Watanabe

Research output: Contribution to journalArticlepeer-review

71 Citations (Scopus)


We study metric transformations which depend on a scalar field φ and its first derivatives and confirm that the number of physical degrees of freedom does not change under such transformations, as long as they are not singular. We perform a Hamiltonian analysis of a simple model in the gauge φ=t. In addition, we explicitly show that the transformation and the gauge fixing do commute in transforming the action. We then extend the analysis to more general gravitational theories and transformations in general gauges. We verify that the set of all constraints and the constraint algebra are left unchanged by such transformations and conclude that the number of degrees of freedom is not modified by a regular and invertible generic transformation among two metrics. We also discuss the implications for the recently called "hidden" constraints and for the case of a singular transformation, also known as mimetic gravity.

Original languageEnglish
Article number084027
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number8
Publication statusPublished - 2015 Oct 13

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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