"Conserved charges" of the Bondi-Metzner-Sachs algebra in the Brans-Dicke theory
Shaoqi Hou, Zong-Hong Zhu
TL;DR
This paper investigates the asymptotic symmetries and conserved charges in Brans-Dicke theory, revealing how scalar fields influence BMS charges and memory effects using conformal completion and Wald-Zoupas formalisms.
Contribution
It extends the analysis of BMS symmetries and charges to Brans-Dicke theory, highlighting the scalar field's role in fluxes and memory effects.
Findings
Scalar field affects Lorentz boost charge
Fluxes include scalar contributions
Memory effects are constrained by flux-balance laws
Abstract
The asymptotic symmetries in Brans-Dicke theory are analyzed using Penrose's conformal completion method, which is independent of the coordinate system used. These symmetries indeed include supertranslations and Lorentz transformations for an asymptotically flat spacetime. With the Wald-Zoupas formalism, "conserved charges" and fluxes of the Bondi-Metzner-Sachs algebra are computed. The scalar degree of freedom contributes only to the Lorentz boost charge, although it plays a role in various fluxes. The flux-balance laws are further used to constrain displacement memory, spin memory and center-of-mass memory effects.
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