Interrelated aspects of thick braneworlds: 4D gravity localization, smoothness of geometry and mass gap in the graviton spectrum

Details Interrelated aspects of thick braneworlds: 4D gravity localization, smoothness of geometry and mass gap in the graviton spectrum Interrelated aspects of thick braneworlds: 4D gravity localization, smoothness of geometry and mass gap in the graviton spectrum

Apr 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010jphcs.222a2003h&link_type=abstract

Journal of Physics: Conference Series, Volume 222, Issue 1, pp. 012003 (2010).

Physics

Scientific paper

We review some interrelated aspects of thick braneworlds which arise within the framework of 5D gravity coupled to a bulk scalar field. When studying localization of 4D gravity in this smooth version of the thin brane Randall-Sundrum model, a kind of dichotomy emerges: if one requires the geometry of the system to be completely smooth, then there is no mass gap in the spectrum of metric fluctuations since it contains just a single massless bound state, interpreted as a 4D graviton, and a tower of massive states starting from zero mass; on the other side, as far as one demands the existence of a mass gap in the graviton spectrum of the theory (in this case there are two bound states, a massless 4D graviton and a massive excitation separated from a continuous spectrum of massive Kaluza-Klein excitations) naked singularities arise at the boundaries of the Riemannian manifold, a fact that obligates one to impose unitary boundary conditions, which are equivalent to eliminating the continuous spectrum of gravitational massive modes, in order to render these singularities harmless from the physical point of view, providing in this way a viable model.

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