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Gravitational waves and lensing in the metric theory proposed by Sobouti

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart ,
S. Mendoza  and
Y.M. Rosas–Guevara
S. Mendoza
Affiliation:
Instituto de Astronomía, Universidad Nacional Autónomade México, AP 70-264, Ciudad Universitaria, Distrito Federal CP 04510, México
Y.M. Rosas–Guevara
Affiliation:
Centro de Radio Astronomía y Astrofísica, Universidad Nacional Autónomade México, AP 72-3 (Xangari) Morelia, Michoacán CP 58089, México
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Abstract

We show that the metric f(R) theory of gravitation proposed by Sobouti (2007) predicts the existence of gravitational waves travelling at the speed of light in vacuum. In fact, this is prooved in general terms for all metric theories of gravity which can be expressed as powers of Ricci's scalar R. We also show that an extra additional lensing as compared to that predicted by standard general relativity is produced in that theory.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 289 - 293
Copyright
© EAS, EDP Sciences, 2008

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References

Capozziello, S., Cardone, V.F., & Troisi, A., 2006 [astro-ph/0603522]
Landau, L., & Lifshitz, E., 1994, Course of Theoretical Physics, Vol. 2, The Classical Theory of Fields, 4th edn. (Pergamon)
Mendoza, S., & Rosas-Guevara, Y.M., 2007, A&A, 472, 367
Sobouti, Y., 2007, A&A, 464, 921