We classify (m + n)D warped product spaces (M¯,g¯) satisfying Einstein’s equation G¯=−Λ¯g¯. We show that the warping function f can determine not only the cosmological constant Λ¯ but also… Click to show full abstract
We classify (m + n)D warped product spaces (M¯,g¯) satisfying Einstein’s equation G¯=−Λ¯g¯. We show that the warping function f can determine not only the cosmological constant Λ¯ but also the cosmological constant Λ appearing in induced Einstein’s equation G=−Λh on (M2, h). Moreover, we discuss the origin of the 4D cosmological constant as an emergent effect of higher dimensional warped spaces.
               
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