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- W2015584844 abstract "In order to find out whether empty singular boundaries can arise in higher dimensional Gravity, we study the solution of Einstein’s equations consisting in a (N + 2)-dimensional static and hyperplane symmetric perfect fluid satisfying the equation of state ρ = ηp, being η an arbitrary constant and N ≥ 2. We show that this spacetime has some weird properties. In particular, in the case η > −1, it has an empty (without matter) repulsive singular boundary. We also study the behavior of geodesics and the Cauchy problem for the propagation of massless scalar field in this spacetime. For η > 1, we find that only vertical null geodesics touch the boundary and bounce, and all of them start and finish at z = ∞; whereas non-vertical null as well as all time-like ones are bounded between two planes determined by initial conditions. We obtain that the Cauchy problem for the propagation of a massless scalar field is well-posed and waves are completely reflected at the singularity, if we only demand the waves to have finite energy, although no boundary condition is required." @default.
- W2015584844 created "2016-06-24" @default.
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- W2015584844 date "2012-05-01" @default.
- W2015584844 modified "2023-10-10" @default.
- W2015584844 title "Higher-dimensional perfect fluids and empty singular boundaries" @default.
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- W2015584844 doi "https://doi.org/10.1007/s10714-012-1366-z" @default.
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