Mathematics – Differential Geometry
Scientific paper
Dec 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005aipc..805..387y&link_type=abstract
PARTICLES, STRINGS, AND COSMOLOGY: 11th International Symposium on Particles, Strings, and Cosmology; PASCOS 2005. AIP Conferen
Mathematics
Differential Geometry
Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Geometry, Differential Geometry, And Topology
Scientific paper
We consider dimensional reduction of the covariant entropy bound from D + 1 dimensional geometry of M × S1 to the D dimensional geometry M. With a warping factor, the local Bekenstein bound in D + 1 dimensions leads to a more refined form of the local Bekenstein bound from the D dimensional view point. With this new local Bekenstein bound, it is possible to saturate the lightlike holography bound even with nonvanishing expansion rate. With a Kaluza-Klein gauge field, the dimensional reduction implies a stronger bound where the energy momentum tensor contribution is replaced by the energy momentum tensor with the electromagnetic contribution subtracted.
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