Dynamical solution of supergravity

Abstract

We present a class of dynamical solutions for an intersecting D4-D8 brane system in ten-dimensional type IIA supergravity. The dynamical solutions reduces to a static warped AdS_6 x S^4 geometry in a certain spacetime region. We also consider lower-dimensional effective theories for the warped compactification of general p-brane system. It is found that an effective (p+1)-dimensional description is not possible in general due to the entanglement of the transverse coordinates and the (p+1)-dimensional coordinates in the metric components. Then we discuss cosmological solutions. We find a solution that behaves like a Kasner-type cosmological solution at $\tau \to \infty$, while it reduces to a warped static solution at $\tau \to 0$, where $\tau$ is the cosmic time.

4 pages, no figure. Contribution to proceedings of the workshop "The 17th Workshop on General Relativity and Gravitation" (Japan, December 2007)

References in corpus (1)

• Dynamical D4-D8 and D3-D7 branes in supergravity