Gravitational waves emission in quadratic gravity: Longitudinal modes, angular momentum emission, and positivity of the radiated power
In this paper, the emission of gravitational waves in quadratic gravity theory is examined. The wave equations for massless and massive perturbations are derived, followed by the calculation of the energy and angular momentum radiated. In the quadrupole approximation, and taking into account only the transverse-traceless modes, it is shown that the theory avoids the issues generated by the Ostrogradsky instabilities and achieves positive energy and angular momentum emissions. As an example, a rotating ellipsoid with free precession is analyzed, and the effects of the massive perturbations on its rotation are highlighted.
Authors
- Rodrigo Rocha Cuzinatto (ORCID: https://orcid.org/0000-0003-1189-0515)
- Pedro José Pompeia (ORCID: https://orcid.org/0000-0002-0474-1362)
- C. A. M. de Melo (ORCID: https://orcid.org/0000-0001-5096-1297)
- L. G. Medeiros (ORCID: https://orcid.org/0000-0003-1483-6151)
- Matheus F. S. Alves (ORCID: https://orcid.org/0000-0003-2634-1850)
Institutions
- Instituto Tecnológico de Aeronáutica (BR)
- Universidade Federal de Alfenas (BR)
- Universidade Federal do Rio Grande do Norte (BR)
- Universidade Federal do Espírito Santo (BR)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-04-21
- DOI
- https://doi.org/10.1103/physrevd.111.084055
- Citations
- 2
- Primary Topic
- Cosmology and Gravitation Theories
- Type
- article
- Field-Weighted Citation Impact
- 2.31
Funders
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação de Amparo à Pesquisa do Estado de Minas Gerais