2006/10/31 by Nabamita Banerjee, Rajeev Kumar Jain, Dileep P. Jatkar · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Exact solutions in general relativity #Field (mathematics) #Friedmann–Lemaître–Robertson–Walker metric #Pulsars and Gravitational Waves Research #Scalar (mathematics) #Scalar field #Scalar field theory #Scalar theories of gravitation #Scalar–tensor theory #Singularity #Vector Laplacian #hep-th
paper · pdf · doi:10.1007/s10714-007-0516-1
published as Gen.Rel.Grav.40:93-105,2008 · 7 Pages, 2 figures, RevTeX4, v2:added a section on regularized energy-momentum tensor, references and conclusions modified
arxiv created 2007/02/24 · openalex publication_date 2007/10/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study interacting scalar field theory non-minimally coupled to gravity in the FRW background. We show that for a specific choice of interaction terms, the energy-momentum tensor of the scalar field vanishes, and as a result the scalar field does not gravitate. The naive space dependent solution to equations of motion gives rise to singular field profile. We carefully analyze the energy-momentum tensor for such a solution and show that the singularity of the solution gives a subtle contribution to the energy-momentum tensor. The space dependent solution therefore is not non-gravitating. Our conclusion is applicable to other space-time dependent non-gravitating solutions as well. We study hybrid inflation scenario in this model when purely time dependent non-gravitating field is coupled to another scalar field.