Absence of antisymmetric tensor fields : Clue from f(R) model of gravity

Abstract

One of the surprising aspects of the present Universe, is the absence of any noticeable observable effects of higher-rank antisymmetric tensor fields in any natural phenomena. Here, we address the possible explanation of the absence of the higher rank antisymmetric tensor fields within the framework of a general class of $f(R)$ gravity represented by $f(R)=R+{\alpha }_n{R}^n$. We explore the setup in Einstein frame, where the higher curvature is manifested in terms of a scalar field with a potential through a conformal transformation. The evolution of different cosmological parameters is studied in the background of FRW universe. We show that while different cosmological parameters mimic their standard behaviour at different epochs for different forms of higher curvature gravity (i.e. different values of n ), the positive values of the scalar field in the models provide an additional suppression for the massless modes of higher rank antisymmetric field, The Starobinsky model identified with $n=2$, provides heavier suppression compared to the others $n\ne 2$. The result does not change even with the inclusion of the Cosmological Constant. Thus, our result reveals that a general class of modified gravity models can successfully explain the suppression of the massless modes of higher rank antisymmetric tensor fields leading to their invisibility in the present universe.

19 pages, 21 figures

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Cited by in corpus (1)

• Bouncing Cosmologies in modified gravity with space time torsion