2005/01/31 by Eloy Ayón-Beato, Eloy Ayón–Beato, Mokhtar Hassaı̈ne +1 · 2 citations
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Conformal map #Cosmology and Gravitation Theories #Field (mathematics) #Geometry #Gravitation #Gravitational wave #Mathematical physics #Mathematics #Parameterized complexity #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Scalar (mathematics) #Scalar field #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.71.084004
published as Phys.Rev. D71 (2005) 084004 · 14 pages, RevTeX. Minor changes. To appear in Phys. Rev. D
arxiv created 2005/03/28 · openalex publication_date 2005/04/05 · openalex created_date 2016/06/24 · arxiv updated 2016/08/16 · openalex updated_date 2026/08/05
Here, we report pp waves configurations of three-dimensional gravity for which a scalar field nonminimally coupled to them acts as a source. In absence of self-interaction the solutions are gravitational plane waves with a profile fixed in terms of the scalar wave. In the self-interacting case, only power-law potentials parameterized by the nonminimal coupling constant are allowed by the field equations. In contrast with the free case the self-interacting scalar field does not behave like a wave since it depends only on the wave-front coordinate. We address the same problem when gravitation is governed by topologically massive gravity and the source is a free scalar field. From the pp waves derived in this case, we obtain at the zero topological mass limit, new pp waves solutions of conformal gravity for any arbitrary value of the nonminimal coupling parameter. Finally, we extend these solutions to the self-interacting case of conformal gravity.