1 research outputs found

    Effective spacetime from multi-dimensional gravity

    Full text link
    We study the effective spacetimes in lower dimensions that can be extracted from a multidimensional generalization of the Schwarzschild-Tangherlini spacetimes derived by Fadeev, Ivashchuk and Melnikov ({\it Phys. Lett,} {\bf A 161} (1991) 98). The higher-dimensional spacetime has D=(4+n+m)D = (4 + n + m) dimensions, where nn and mm are the number of "internal" and "external" extra dimensions, respectively. We analyze the effective (4+n)(4 + n) spacetime obtained after dimensional reduction of the mm external dimensions. We find that when the mm extra dimensions are compact (i) the physics in lower dimensions is independent of mm and the character of the singularities in higher dimensions, and (ii) the total gravitational mass MM of the effective matter distribution is less than the Schwarzshild mass. In contrast, when the mm extra dimensions are large this is not so; the physics in (4+n)(4 + n) does explicitly depend on mm, as well as on the nature of the singularities in high dimensions, and the mass of the effective matter distribution (with the exception of wormhole-like distributions) is bigger than the Schwarzshild mass. These results may be relevant to observations for an experimental/observational test of the theory.Comment: A typo in Eq. (24) is fixe
    corecore