Narlikar, J. V.Pecker, J. C.Vigier, J. P.2012-03-082012-03-081990-12-10http://hdl.handle.net/11007/916This paper investigates the effects of the spatial variation of the cosmological constant Λ on the spacetime geometry within and outside a massive object. It is seen that the variation of Λ with the radial coordinate introduces non-trivial changes leading to spacetime closing on itself around a massive object. It may also be possible to generate interior solutions that lead to flat rotation curves of galaxies.enCosmologial constantSpatial variationSome consequences of a spatially varying cosmological constant in a spherically symmetric distribution of matterArticle