2018/08/27 by João Luís Rosa, José P. S. Lemos, Francisco S. N. Lobo · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark energy #Energy condition #Exotic matter #General relativity #Geometry #Gravitation #Mathematical physics #Mathematics #Physics #Quantum mechanics #Scalar (mathematics) #Scalar curvature #Scalar field #Spacetime #Theoretical physics #Wormhole #astro-ph.HE #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.98.064054
published as Phys. Rev. D 98, 064054 (2018) · 12 pages, 2 figures
arxiv created 2018/08/27 · openalex created_date 2018/09/07 · openalex publication_date 2018/09/26 · arxiv updated 2018/10/03 · openalex updated_date 2026/08/05
Wormhole solutions in a generalized hybrid metric-Palatini matter theory, given by a gravitational Lagrangian f(R,R), where R is the metric Ricci scalar, and R is a Palatini scalar curvature defined in terms of an independent connection, and a matter Lagrangian, are found. The solutions are worked in the scalar-tensor representation of the theory, where the Palatini field is traded for two scalars, \ensuremathφ and \ensuremathψ, and the gravitational term R is maintained. The main interest in the solutions found is that the matter field obeys the null energy condition (NEC) everywhere, including the throat and up to infinity, so that there is no need for exotic matter. The wormhole geometry with its flaring out at the throat is supported by the higher-order curvature terms, or equivalently, by the two fundamental scalar fields, which either way can be interpreted as a gravitational fluid. Thus, in this theory, in building a wormhole, it is possible to exchange the exoticity of matter by the exoticity of the gravitational sector. The specific wormhole displayed, built to obey the matter NEC from the throat to infinity, has three regions, namely, an interior region containing the throat, a thin shell of matter, and a vacuum Schwarzschild anti-de Sitter (AdS) exterior. For hybrid metric-Palatini matter theories this wormhole solution is the first where the NEC for the matter is verified for the entire spacetime keeping the solution under asymptotic control. The existence of this type of solutions is in line with the idea that traversable wormholes bore by additional fundamental gravitational fields, here disguised as scalar fields, can be found without exotic matter. Concomitantly, the somewhat concocted architecture needed to assemble a complete wormhole solution for the whole spacetime may imply that in this class of theories such solutions are scarce.