Nonminimal curvature–matter coupled wormholes with matter satisfying the null energy condition

By N. M. García, Francisco S. N. Lobo. 2010

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Recently, the exact solutions of wormhole geometries supported by a nonminimal curvature–matter coupling were found, where the nonminimal coupling minimizes the violation of the null energy condition of normal matter at the throat. In this brief report, we present a solution where normal matter satisfies the energy conditions at the throat and it is the higher order curvature derivatives of the nonminimal coupling that are responsible for the null energy condition violation, and consequently for supporting the respective wormhole geometries. For simplicity, we consider a linear R nonmiminal curvature–matter coupling and an explicit monotonically increasing function for the energy density. Thus, the solution found is not asymptotically flat, but may in principle be matched to an exterior vacuum solution.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5b83611bd572982dd4038bd9e1aa26db434afc61

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Citations in the corpus

Analytical general solutions for static wormholes in f(R,T) gravity (2016, result): “The consideration of the proposal #2 in a further work can be compared with some predictions already obtained for WHs in matter-geometry coupling models others than f(R, T ) gravity [50, 51].”
Generalized Curvature-Matter Couplings in Modified Gravity (2014, background): “Weak field constraints have also been studied in detail [83,84], and wormhole solutions were further explored, where it is the higher curvature coupling terms that support these exotic geometries [85–87].”