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- W1852895551 abstract "In this paper, we consider third-order Lovelock gravity with a cosmological constant term in an $n$-dimensional spacetime ${mathcal{M}}^{4}ifmmodetimeselsetexttimesfi{}{mathcal{K}}^{nensuremath{-}4}$, where ${mathcal{K}}^{nensuremath{-}4}$ 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 ${mathcal{K}}^{nensuremath{-}4}$ 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 $mathrm{ensuremath{Lambda}}$, we obtain the four-dimensional matter distribution threading the wormhole. Furthermore, by considering the zero tidal force case and a specific equation of state, given by $ensuremath{rho}=(ensuremath{gamma}pensuremath{-}ensuremath{tau})/[ensuremath{omega}(1+ensuremath{gamma})]$, we find the exact solution for the shape function which represents both asymptotically flat and nonflat 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 four-dimensional spacetime implies a negative effective cosmological constant." @default.
- W1852895551 created "2016-06-24" @default.
- W1852895551 creator A5039585874 @default.
- W1852895551 creator A5052450333 @default.
- W1852895551 creator A5073068411 @default.
- W1852895551 date "2015-12-22" @default.
- W1852895551 modified "2023-10-13" @default.
- W1852895551 title "Traversable wormholes satisfying the weak energy condition in third-order Lovelock gravity" @default.
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