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Warped Flux Compactification and Brane Gravity

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arxiv hep-th/0506050 v2 pith:OS3Y7CR4 submitted 2005-06-07 hep-th astro-phgr-qchep-ph

Shinji Mukohyama , Yuuiti Sendouda , Hiroyuki Yoshiguchi , Shunichiro Kinoshita This is my paper · ORCID
classification hep-thastro-phgr-qchep-ph
keywords branecompactificationwarpedfluxchangesconstanteffectivenewton
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We find a simple exact solution of 6-dimensional braneworld which captures some essential features of warped flux compactification, including a warped geometry, compactification, a magnetic flux, and one or two 3-brane(s). In this setup we analyze how the Hubble expansion rate on each brane changes when the brane tension changes. It is shown that effective Newton's constant resulting from this analysis agrees with that inferred by simply integrating extra dimensions out. Based on the result, a general formula for effective Newton's constant is conjectured and its application to cosmology with type IIB warped string compactification is discussed.

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    The paper works out the geometry, flux, and geodesics of the Melvin magnetic universe with a positive cosmological constant, showing its two-sphere section is compact and carries a conical singularity, with a Freund-R...

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