2006
DOI: 10.1088/1126-6708/2006/03/053
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Comments on the four-dimensional effective theory for warped compactification

Abstract: We derive four-dimensional effective theories for warped compactification of the ten-dimensional IIB supergravity and the eleven-dimensional Hořava-Witten model. We show that these effective theories allow a much wider class of solutions than the original higher-dimensional theories. In particular, the effective theories have cosmological solutions in which the size of the internal space decreases with the cosmic expansion in the Einstein frame. This type of compactifying solutions are not allowed in the origi… Show more

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Cited by 44 publications
(73 citation statements)
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“…This class of solutions generalize those discussed in [27]. They are also similar to those discussed in [28] though time-dependence is taken differently. Using (2.30) in (2.25), we find…”
Section: Time-dependent Brane System In Supergravitysupporting
confidence: 72%
“…This class of solutions generalize those discussed in [27]. They are also similar to those discussed in [28] though time-dependence is taken differently. Using (2.30) in (2.25), we find…”
Section: Time-dependent Brane System In Supergravitysupporting
confidence: 72%
“…Now, we determine a form of the function h(x, r) in an 11-dimensional supergravity theory, which is composed of the metric g MN and the four-form field strength F (4) . The action in 11 dimensions is given by…”
Section: Einstein Equationsmentioning
confidence: 99%
“…For static (timeindependent) case, our solutions are consistent with the harmonic function rule [30], but are more general with spacetime-dependent functions. Note that the internal space is not warped [9] if the function H I is trivial.…”
Section: Let Us Assume [16]mentioning
confidence: 99%