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  Covariant conserved currents for scalar-tensor Horndeski theory

Schmidt, J., & Bičák, J. (2018). Covariant conserved currents for scalar-tensor Horndeski theory. Journal of Mathematical Physics, 59: 04250. doi:10.1063/1.5003190.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-46FE-3 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-F9DA-0
Genre: Journal Article

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 Creators:
Schmidt, Josef, Author
Bičák, Jiří1, Author              
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO,High Energy Physics - Theory, hep-th
 Abstract: The scalar-tensor theories have become popular recently in particular in connection with attempts to explain present accelerated expansion of the universe, but they have been considered as a natural extension of general relativity long time ago. The Horndeski scalar-tensor theory involving four invariantly defined Lagrangians is a natural choice since it implies field equations involving at most second derivatives. Following the formalisms of defining covariant global quantities and conservation laws for perturbations of spacetimes in standard general relativity we extend these methods to the general Horndeski theory and find the covariant conserved currents for all four Lagrangians. The current is also constructed in the case of linear perturbations involving both metric and scalar field. As a specific illustration we derive a superpotential which leads to the covariantly conserved current in the Branse-Dicke theory.

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 Dates: 2018-04-062018
 Publication Status: Published in print
 Pages: 33 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1804.02298
DOI: 10.1063/1.5003190
URI: http://arxiv.org/abs/1804.02298
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Title: Journal of Mathematical Physics
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. [etc.] : American Institute of Physics
Pages: - Volume / Issue: 59 Sequence Number: 04250 Start / End Page: - Identifier: ISSN: 0022-2488
CoNE: /journals/resource/954922836227