TY - JOUR

T1 - Derivative-dependent metric transformation and physical degrees of freedom

AU - Domènech, Guillem

AU - Mukohyama, Shinji

AU - Namba, Ryo

AU - Naruko, Atsushi

AU - Saitou, Rio

AU - Watanabe, Yota

N1 - Publisher Copyright:
© 2015 American Physical Society.
Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

PY - 2015/10/13

Y1 - 2015/10/13

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevD.92.084027

DO - 10.1103/PhysRevD.92.084027

M3 - Article

AN - SCOPUS:84945957756

VL - 92

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 8

M1 - 084027

ER -