Kaluza-Klein models with spherical compactification: observational constraints and possible examples

Abstract

We consider Kaluza-Klein models with background matter in the form of a multicomponent perfect fluid. This matter provides spherical compactification of the internal space with an arbitrary number of dimensions. The gravitating source has the dust-like equation of state in the external/our space and an arbitrary equation of state (with the parameter $\Omega$) in the internal space. In the single-component case, tension ($\Omega =-1/2$) is the necessary condition to satisfy both the gravitational tests in the solar system and the thermodynamical observations. In the multicomponent case, we propose two models satisfying both of these observations. One of them also requires tension $\Omega =-1/2$, but the second one is of special interest because is free of tension, i.e. $\Omega =0$. To get this result, we need to impose certain conditions.

18 pages. Combined (with arXiv:1207.4339) version accepted by CQG

References in corpus (9)

• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Kaluza-Klein models: can we construct a viable example?
• Weak-field limit of f(R)-gravity in three and more spatial dimensions
• Latent solitons, black strings, black branes, and equations of state in Kaluza-Klein models
• Weak-field limit of Kaluza-Klein models with spherical compactification: experimental constraints
• Remarks on gravitational interaction in Kaluza-Klein models
• Significance of tension for gravitating masses in Kaluza-Klein models
• Exact and asymptotic black branes with spherical compactification
• Asymptotic latent solitons, black strings and black branes in f(R)-gravity

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• Black branes and black strings in the astrophysical and cosmological context
• Problematic aspects of Kaluza-Klein excitations in multidimensional models with Einstein internal spaces
• Weak field limit of higher dimensional massive Brans-Dicke gravity: Observational constraints
• Weak-field limit of Kaluza-Klein model with non-linear perfect fluid
• Effects of nonlinearity of $f(R)$ gravity and perfect fluid in Kaluza-Klein models with spherical compactification