Eur. Phys. J. C 70, 341-349 (2010)
https://doi.org/10.1140/epjc/s10052-010-1412-5

Testing metric-affine f(R)-gravity by relic scalar gravitational waves

¹ Dipartimento di Scienze Fisiche, Università “Federico II” di Napoli, Compl. Univ. Monte S. Angelo Ed. N, via Cinthia, 80126, Napoli, Italy
² INFN Sez. di Napoli, Compl. Univ. Monte S. Angelo Ed. N, via Cinthia, 80126, Napoli, Italy
³ DIPTEM Sez. Metodi e Modelli Matematici, Università di Genova, Piazzale Kennedy, Pad., 16129, Genova, Italy

capozziello@na.infn.it

Received: 7 July 2010
Revised: 16 July 2010
Published online: 24 August 2010

Abstract

We discuss the emergence of scalar gravitational waves in metric-affine f(R)-gravity. Such a component allows to discriminate between metric and metric-affine theories The intrinsic meaning of this result is that the geodesic structure of the theory can be discriminated. We extend the formalism of cross-correlation analysis, including the additional polarization mode, and calculate the detectable energy density of the spectrum for cosmological relic gravitons. The possible detection of the signal is discussed against the sensitivities of the VIRGO, LIGO and LISA interferometers.