Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-12-21
Phys.Rev.D80:026001,2009
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, no figure, typos corrected, references and discussions of D3-D7 brane solutions added
Scientific paper
10.1103/PhysRevD.80.026001
We present a class of dynamical solutions for intersecting D4-D8 and D3-D7 brane systems in ten-dimensional type IIA and IIB supergravity. We discuss if these solutions can be recovered in lower-dimensional effective theories for the warped compactification of a 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. For the D4-D8 brane system, the dynamical solutions reduces to a static warped ${\rm AdS_6}\times {\rm S}^4$ geometry in a certain spacetime region. For the D3-D7 brane system, we find a dynamical solution whose metric form is similar to that of a D3-brane solution. The main difference is the existence of a nontrivial dilaton configuration in the D3-D7 solution. Then we discuss cosmology of these solutions. We find that they behave like a Kasner-type cosmological solution at $\tau\to\infty$, while it reduces to a warped static solution at $\tau\to0$, where $\tau$ is the cosmic time.
Binetruy Pierre
Sasaki Misao
Uzawa Kunihito
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