Wormhole geometries supported by a nonminimal curvature-matter coupling

2010/07/31 by Nadiezhda Montelongo Garcia, Nadiezhda Montelongo García, 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 #Coupling (piping) #Curvature #Dark energy #Energy condition #Exact solutions in general relativity #Exotic matter #General relativity #Geometry #Gravitation #Mathematical physics #Mathematics #Null (SQL) #Physics #Quantum mechanics #Riemann curvature tensor #Scalar (mathematics) #Scalar curvature #Tensor (intrinsic definition) #Wormhole #astro-ph.HE #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.82.104018

published as Phys.Rev.D82:104018,2010 · 8 pages, 3 figures. V2: 9 pages, error and typos corrected; discussion and references added; to appear in PRD

arxiv created 2010/10/11 · openalex publication_date 2010/11/08 · arxiv updated 2010/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Wormhole geometries in curvature-matter coupled modified gravity are explored, by considering an explicit nonminimal coupling between an arbitrary function of the scalar curvature, R, and the Lagrangian density of matter. It is the effective stress-energy tensor containing the coupling between matter and the higher order curvature derivatives that is responsible for the null energy condition violation, and consequently for supporting the respective wormhole geometries. The general restrictions imposed by the null energy condition violation are presented in the presence of a nonminimal R-matter coupling. Furthermore, obtaining exact solutions to the gravitational field equations is extremely difficult due to the nonlinearity of the equations, although the problem is mathematically well defined. Thus, we outline several approaches for finding wormhole solutions, and deduce an exact solution by considering a linear R nonmiminal curvature-matter coupling and by considering an explicit monotonically decreasing function for the energy density. Although it is difficult to find exact solutions of matter threading the wormhole satisfying the energy conditions at the throat, an exact solution is found where the nonminimal coupling does indeed minimize the violation of the null energy condition of normal matter at the throat.

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Cited by

• TIME-DEPENDENT WORMHOLE SOLUTIONS OF f(R) THEORY OF GRAVITY AND ENERGY CONDITIONS
• Dynamical Wormhole Solutions in f(R, T) Gravity

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