The effect of higher dimensions on the collapse of self-gravitating fluids

We apply general relativity in higher dimensions to the collapse of an unstable massive body. A general solution is obtained for the heat flux boundary condition in n-dimensions. The temporal function obtained is then used to complete the description of an unstable neutron star which collapses from an initial static configuration. A Finch–Skea ansatz together with a linear equation of state was used to obtain the static configuration which is a solution of the static field equations. It is found that the collapse time is reduced in higher dimensions. The energy densities generally increase with dimension, although they tend to coalesce at horizon formation. The surface heat flux also coalesces near horizon formation with extra dimensions reducing the heat flux.