Relativity: Modern Large-scale Spacetime Structure of the Cosmos

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.