Relativity : Proceedings of the Relativity Conference in the Midwest, Held at Cincinnati, Ohio, June 2–6, 1969

This book describes Carmeli s cosmological general and special relativity theory, along with Einstein s general and special relativity. These theories are discussed in the context of Moshe Carmeli s original research, in which velocity is introduced as an additional independent dimension. Four- and five-dimensional spaces are considered, and the five-dimensional braneworld theory is presented. The Tully Fisher law is obtained directly from the theory, and thus it is found that there is no necessity to assume the existence of dark matter in the halo of galaxies, nor in galaxy clusters. The book gives the derivation of the Lorentz transformation, which is used in both Einstein s special relativity and Carmeli s cosmological special relativity theory. The text also provides the mathematical theory of curved space­time geometry, which is necessary to describe both Einstein s general relativity and Carmeli s cosmological general relativity. A comparison between the dynamical and kinematic aspects of the expansion of the universe is made. Comparison is also made between the Friedmann-Robertson-Walker theory and the Carmeli theory. And neither is it necessary to assume the existence of dark matter to correctly describe the expansion of the cosmos. Contents: Special Relativity Theory; Cosmological Special Relativity; General Relativity Theory; Cosmological General Relativity; Properties of the Gravitational Field; Cosmological Special Relativity in Five Dimensions; Cosmological General Relativity in Five Dimensions: Brane World Theory; Particle Production in Five-Dimensional Cosmological Relativity; Properties of Gravitational Waves in an Expanding Universe; Spiral Galaxy Rotation Curves in the Brane World Theory in Five Dimensions; The Friedmann Universe: FRW Metric; CGR versus FRW; Testing CGR Against High Redshift Observations; Extending the Hubble Diagram to Higher Redshifts in CGR; Homogeneous Spaces and Bianchi Classification The Relativity Conference in the Midwest was held in Cincin­ nati from June 2-6, 1969 and was sponsored jointly by the Aerospace Research Laboratories and the University of Cincinnati. During 1969, the Aerospace Research Laboratories celebrated the twentieth year of its existence and the University of Cincinnati celebrated its sesquicentennial year. Because of the extended interest of the Aerospace Research Laboratories in the Theory of Relativity and the recent arrival at the University of Cincinnati of one of the confer­ ence organizers it was felt that sponsoring a National Conference on Relativity designed primarily for participation by American scientists would represent a worthwhile contribution to the joint celebrations. This was the first formal national conference specifically devoted to relativity held in this country since the 1957 conference on The Role of Gravitation in Physics held in Chapel Hill. The format of the week-long conference consisted primarily of invited papers and extensive informal discussions. Contributed papers were generally discouraged except as their subject matter fit into the discussions. At no time was a clock used to terminate an invited talk; it was frequently necessary, however, to terminate the dis­ cussions after some hours because of the onset of weariness in mind and stomache. By general demand a special informal session was organized and held on Tuesday night to discuss'Superspace.'The Superspace Session started at 8:00 P. M. and faded away beginning at 2:00 A. ~L This volume contains a summary of most of the invited papers.