MG15 - Talk detail

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In the case that a spacetime has a continuous isometry, one can obtain the lower dimensional spacetime (basespace) by identifying the points which are in each orbit of the isometry. And one can define the projective metric which is determined uniquely on the basespace with respect to the isometry. This procedure is called a Riemannian submersion. Even though an original spacetime is simple, that is, the spacetime has a variety of isometries, depending on the choice of the isometry, the geometry of the basespace can have very complicated geometrical structure. We apply the Riemannian submersion to anti-de Sitter space (AdS) with respect to 1-dimensional spacelike isometries and investigate the causal structure of the basespaces. Then we found that black hole structure is submerged in AdS_3. And we also clarify the higher dimensional cases.

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