Conformal Gravity in De Sitter Universe

Mathematics – Logic

Scientific paper

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Scientific paper

Recent astrophysical data indicate that our universe might currently be in a de Sitter (dS) phase. The importance of dS space has been primarily ignited by the study of the inflationary model of the universe and the quantum gravity. As we know Einstein's theory of gravitation (with a non zero cosmological constant) can be interpreted as a theory of a metric field; that is, a symmetric tensor field of rank-2 on a fixed de Sitter back ground. Unfortunately this equation is not conformally invariant. This result is contrary to what we used to expect for massless theories. In this paper conformally invariant wave equation for the massless spin-2 field in the dS space is considered. This study is motivated by the belief that conformal invariance may be the key to a future theory of quantum gravity.

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