In dark-energy models where a scalar field is nonminimally coupled to the
spacetime geometry, gravitational waves are expected to be supplemented with a
scalar mode. Such scalar waves may interact with the standard tensor waves,
thereby affecting their observed amplitude and polarization. Understand…
[2009.11827] Scalar and tensor gravitational waves Global Survey In just 3 minutes help us understand how you see arXiv. TAKE SURVEY Skip to main content We gratefully acknowledge support fromthe Simons Foundation and member institutions. > gr-qc > arXiv:2009.11827 Help | Advanced Search All fields Title Author Abstract Comments Journal reference ACM classification MSC classification Report number arXiv identifier DOI ORCID arXiv author ID Help pages Full text Search open search GO open navigation menu quick links Login Help Pages About General Relativity and Quantum Cosmology arXiv:2009.11827 (gr-qc) [Submitted on 24 Sep 2020 (v1), last revised 11 May 2022 (this version, v3)] Title:Scalar and tensor gravitational waves Authors:Charles Dalang, Pierre Fleury, Lucas Lombriser Download PDF Abstract: In dark-energy models where a scalar field is nonminimally coupled to the spacetime geometry, gravitational waves are expected to be supplemented with a scalar mode. Such scalar waves may interact with the standard tensor waves, thereby affecting their observed amplitude and polarization. Understanding the role of scalar waves is thus essential in order to design reliable gravitational-wave probes of dark energy and gravity beyond general relativity. In this article, we thoroughly investigate the propagation of scalar and tensor waves in the subset of Horndeski theories in which tensor waves propagate at the speed of light. We work at linear order in scalar and metric perturbations, in the eikonal regime, and for arbitrary scalar and spacetime backgrounds. We diagonalize the system of equations of motion and identify the physical tensor mode, which differs from the metric perturbation. We find that interactions between scalar and tensor waves generally depend on the scalar propagation speed. If the scalar waves are luminal or quasiluminal, then interactions are negligible. In the subluminal case, scalar-tensor interactions are effectively suppressed due to the incoherence of the wave's phases. Comments: 12+6 pages, 1 figure. v2: extended results for subluminal scalar waves, matches published version in PRD up to minor typos corrected here in Eq. (102), (103), (110), (A.68), (A.28) Subjects: General Relativity and Quantum Cosmology (gr-qc); Cosmology and Nongalactic Astrophysics (astro-ph.CO) Report number: IFT-UAM/CSIC-20-136 Cite as: arXiv:2009.11827 [gr-qc] (or arXiv:2009.11827v3 [gr-qc] for this version) https://doi.org/10.48550/arXiv.2009.11827 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. D 103, 064075 (2021) Related DOI: https://doi.org/10.1103/PhysRevD.103.064075 Focus to learn more DOI(s) linking to related resources Submission history From: Charles Dalang [view email] [v1] Thu, 24 Sep 2020 17:20:17 UTC (6,366 KB) [v2] Tue, 6 Apr 2021 12:21:07 UTC (6,378 KB)[v3] Wed, 11 May 2022 10:39:29 UTC (6,378 KB) Full-text links: Download: PDF Other formats (license) Current browse context: gr-qc < prev | next > new | recent | 2009 Change to browse by: astro-ph astro-ph.CO References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar a export bibtex citation Loading... Bibtex formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Related Papers Recommenders and Search Tools Connected Papers Toggle Connected Papers (What is Connected Papers?) Core recommender toggle CORE Recommender (What is CORE?) IArxiv recommender toggle IArxiv Recommender (What is IArxiv?) About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs and how to get involved. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?) About Help contact arXivClick here to contact arXiv Contact subscribe to arXiv mailingsClick here to subscribe Subscribe Copyright Privacy Policy Web Accessibility Assistance arXiv Operational Status Get status notifications via email or slack