Static solutions in Einstein-Chern-Simons gravity

Abstract

In this paper we study static solutions with more general symmetries than the spherical symmetry of the five-dimensional Einstein-Chern-Simons gravity. In this context, we study the coupling of the extra bosonic field with ordinary matter which is quantified by the introduction of an energy-momentum tensor field associated with $h^a$. It is found that exist (i) a negative tangential pressure zone around low-mass distributions ($\mu <{\mu }_1$) when the coupling constant $\alpha$ is greater than zero; (ii) a maximum in the tangential pressure, which can be observed in the outer region of a field distribution that satisfies $\mu <{\mu }_2$; (iii) solutions that behave like those obtained from models with negative cosmological constant. In such a situation, the field $h^a$ plays the role of a cosmological constant.

arXiv comment23 pages, 6 figures

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