2018/07/31 by Manuel Hohmann, Martin Krššák, Christian Pfeifer +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Field equation #Formalism (music) #General relativity #Geometry #Gravitation #Gravitational field #Gravitational redshift #Gravitational wave #Mathematical physics #Mathematics #Minkowski space #Physics #Pulsars and Gravitational Waves Research #Quadratic equation #Quantum mechanics #Speed of gravity #gr-qc
paper · pdf · doi:10.1103/physrevd.98.124004
published as Phys. Rev. D 98, 124004 (2018) · 11 pages, 1 figure; updated references to match published version. arXiv admin note: substantial text overlap with arXiv:1808.02894
openalex publication_date 2018/12/06 · arxiv created 2020/07/03 · arxiv updated 2020/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the propagation of gravitational waves in the most general teleparallel gravity model with second order field equations as perturbations around the Minkowski background. We argue that in this case the most general Lagrangian at the first nonvanishing order of the perturbations is given by a linear combination of quadratic invariants and hence coincides with the well-known new general relativity model. We derive the linearized field equations and analyze them using the principal polynomial and the Newman-Penrose formalism. We demonstrate that all gravitational wave modes propagate at the speed of light, and there are up to six possible polarizations. We show that two tensorial modes of general relativity are always present, and the number of extra polarizations depends on the free parameters of the new general relativity model.