Higher-dimensional perfect fluids and empty singular boundaries

RICARDO E. GAMBOA SARAVÍ

GENERAL RELATIVITY AND GRAVITATION

SPRINGER/PLENUM PUBLISHERS

Lugar: New York; Año: 2012 vol. 44 p. 1769 - 1786

0001-7701

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=η p, 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) singular boundary. We also study the behavior of geodesics and the Cauchy problem for the propagation of massless scalar field in this spacetime.