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.
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References
S. Nojiri, S.D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115 (2007)
S. Capozziello, M. Francaviglia, Gen. Relativ. Gravit. 40, 357 (2008)
S. Capozziello, M. De Laurentis, V. Faraoni, Open Astron. J. 2, 1874 (2009)
T.P. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451 (2010)
A. De Felice, S. Tsujikawa, arXiv:1002.4928 [gr-qc] (2010)
S. Capozziello, R. Garattini, Class. Quantum Gravity 24, 1627 (2007)
S. Capozziello, S. Nojiri, S.D. Odintsov, A. Troisi, Phys. Lett. B 639, 135 (2006)
S. Capozziello, E. De Filippis, V. Salzano, Mon. Not. Roy. Soc. 394, 947 (2009)
R. Reyes et al., Nature 464, 256 (2010)
S. Capozziello, R. Cianci, C. Stornaiolo, S. Vignolo, Class. Quantum Gravity 24, 6417 (2007)
F.W. Hehl, P. von der Heyde, G. D Kerlick, J.M. Nester, Rev. Mod. Phys. 48, 393 (1976)
S. Capozziello, G. Lambiase, C. Stornaiolo, Ann. Phys. (Leipzig) 10, 713 (2001)
Y. Mao, M. Tegmark, A. Guth, S. Cabi, Phys. Rev. D 76, 104029 (2007)
M. Maggiore, Phys. Rep. 331, 283 (2000)
S. Bellucci, S. Capozziello, M. De Laurentis, V. Faraoni, Phys. Rev. D 79, 104004 (2009)
S. Capozziello, E. Elizalde, S. Nojiri, S.D. Odintsov, Phys. Lett. B 671, 193 (2009)
S. Capozziello, R. Cianci, C. Stornaiolo, S. Vignolo, Phys. Scr. 78, 065010 (2008)
S. Capozziello, R. Cianci, C. Stornaiolo, S. Vignolo, Int. J. Geom. Methods Mod. Phys. 5, 765 (2008)
G. Magnano, M. Ferraris, M. Francaviglia, Gen. Relativ. Gravit. 19, 465 (1987)
T.P. Sotiriou, Class. Quantum Gravity 23, 1253 (2006)
T.P. Sotiriou, S. Liberati, Ann. Phys. 322, 935 (2006)
G.J. Olmo, Phys. Rev. D 72, 083505 (2005)
S. Capozziello, S. Vignolo, Class. Quantum Gravity 26, 175013 (2009)
S. Capozziello, S. Vignolo, Class. Quantum Gravity 26, 168001 (2009)
S. Capozziello, S. Vignolo, Int. J. Geom. Methods Mod. Phys. 6, 985 (2009)
S. Capozziello, A. Stabile, A. Troisi, Int. J. Theor. Phys. 49, 1251 (2010)
H. van Dam, M.J.G. Veltman, Nucl. Phys. B 22, 397 (1970)
C. Bogdanos, S. Capozziello, M. De Laurentis, S. Nesseris, arXiv:0911.3094 [gr-qc] (2009)
C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation, Feeman, New York (1973)
B. Allen, in Proceedings of the Les Houches School on Astrophysical Sources of Gravitational Waves, ed. by J.-A. Marck, J.-P. Lasota (Cambridge University Press, Cambridge, 1998)
F. Acernese et al. (the Virgo Collaboration), Class. Quantum Gravity 24, 19,S381 (2007)
B. Willke et al. Class. Quantum Gravity 23, 8S207 (2006)
D. Sigg (for the LIGO Scientific Collaboration), www.ligo.org/pdfpublic/P050036.pdf
B. Abbott et al. (the LIGO Scientific Collaboration), Phys. Rev. D 72, 042002 (2005)
M. Ando (TAMA Collaboration), Class. Quantum Gravity 19, 71615 (2002)
D. Tatsumi, Y. Tsunesada (TAMA Collaboration), Class. Quantum Gravity 21, 5S451 (2004)
L.S. Finn, P.J. Sutton, Phys. Rev. D 65, 044022 (2002)
B. Abbott et al., Phys. Rev. D 76, 082003 (2007)
A. Nishizawa, A. Taruya, K. Hayama, S. Kawamura, M. Sakagami, Phys. Rev. D 79, 082002 (2009)
M.E. Tobar, T. Suzuki, K. Kuroda, Phys. Rev. D 79, 082002 (2009)
L. Grishchuk et al., Phys. Usp. 44, 1 (2001); Usp. Fiz. Nauk 171, 3 (2001)
B. Allen, A.C. Ottewill, Phys. Rev. D 56, 545 (1997)
G.S. Watson, An Exposition on Inflationary Cosmology (North Carolina University Press, Chapel Hill, 2000)
A. Guth, Phys. Rev. 23, 347 (1981)
J.A. Peacock, Cosmological Physics (Cambridge University Press, Cambridge, 1999)
S. Capozziello, M. De Laurentis, S. Nojiri, S.D. Odintsov, Gen. Relativ. Gravit. 41, 2313 (2009)
S. Capozziello, S. Nojiri, S.D. Odintsov, Phys. Lett. B 634, 93 (2006)
S. Nojiri, S.D. Odintsov, Phys. Lett. B 652, 343 (2007)
S. Nojiri, S.D. Odintsov, Phys. Lett. B 657, 238 (2007)
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Capozziello, S., Cianci, R., De Laurentis, M. et al. Testing metric-affine f(R)-gravity by relic scalar gravitational waves. Eur. Phys. J. C 70, 341–349 (2010). https://doi.org/10.1140/epjc/s10052-010-1412-5
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DOI: https://doi.org/10.1140/epjc/s10052-010-1412-5