Kaluza-Klein braneworld cosmology with static internal dimensions

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dc.creatorKanno, Sugumi
dc.creatorLanglois, David
dc.creatorSasaki, Misao
dc.creatorSoda, Jiro
dc.date2007-07-31
dc.date2007-08-08
dc.date.accessioned2026-07-07T11:18:17Z
dc.date.available2026-07-07T11:18:17Z
dc.descriptionWe investigate the Kaluza-Klein braneworld cosmology from the point of view of observers on the brane. We first generalize the Shiromizu-Maeda-Sasaki (SMS) equations to higher dimensions. As an application, we study a (4+n)-dimensional brane with n dimensions compactified on the brane, in a (5+n)-dimensional bulk. By assuming that the size of the internal space is static, that the bulk energy-momentum tensor can be neglected, we determine the effect of the bulk geometry on the Kaluza-Klein braneworld. Then we derive the effective Friedmann equation on the brane. It turns out that the Friedmann equation explicitly depends on the equation of state, in contrast to the braneworld in a 5-dimensional bulk spacetime. In particular, in a radiation-dominated era, the effective Newton constant depends on the scale factor logarithmically. If we include a pressureless matter on the brane, this dependence disappears after the radiation-matter equality. This may be interpreted as stabilization of the Newton constant by the matter on the brane. Our findings imply that the Kaluza-Klein braneworld cosmology is quite different from the conventional Kaluza-Klein cosmology even at low energy.
dc.description9 pages. References added
dc.identifierhttps://arxiv.org/abs/0707.4510
dc.identifierhttp://arxiv.org/abs/0707.4510
dc.identifierProg.Theor.Phys.118:701-713,2007
dc.identifierdoi:10.1143/PTP.118.701
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193294
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleKaluza-Klein braneworld cosmology with static internal dimensions
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