2015/10/31 by Mahdi Kord Zangeneh, Francisco S. N. Lobo, Mohammad Hossein Dehghani · 1 citation
Physics and Astronomy · #gr-qc #astro-ph.HE #hep-th
paper · pdf · doi:10.1103/physrevd.92.124049
published as Phys. Rev. D 92, 124049 (2015) · 8 pages, 4 figures. V2: 9 pages, extensive discussion and references added; accepted for publication in PRD
arxiv created 2015/12/06 · arxiv updated 2015/12/23
In this paper, we consider third order Lovelock gravity with a cosmological constant term in an n-dimensional spacetime M4× Kn-4, where Kn-4 is a constant curvature space. We decompose the equations of motion to four and higher dimensional ones and find wormhole solutions by considering a vacuum Kn-4 space. Applying the latter constraint, we determine the second and third order Lovelock coefficients and the cosmological constant in terms of specific parameters of the model, such as the size of the extra dimensions. Using the obtained Lovelock coefficients and Λ, we obtain the 4-dimensional matter distribution threading the wormhole. Furthermore, by considering the zero tidal force case and a specific equation of state, given by ρ=(γp-τ)/[ω(1+γ)], we find the exact solution for the shape function which represents both asymptotically flat and non-flat wormhole solutions. We show explicitly that these wormhole solutions in addition to traversibility satisfy the energy conditions for suitable choices of parameters and that the existence of a limited spherically symmetric traversable wormhole with normal matter in a 4-dimensional spacetime, implies a negative effective cosmological constant.