Introduction to General Relativistic and Scalar-tensor Cosmologies
This book offers an introduction to General Relativity and its mathematical tools, together with an introduction to relativistic and scalar-tensor cosmologies. Part I deals with Tensor Calculus. Part II introduces General Relativity Theory, while Part III deals with Relativistic Cosmology. In Part IV we work Scalar-Tensor theories, concentrating in Cosmological Models. In the last chapters, the cosmological models presented, become more and more sophisticated, including some new cases, never published elsewhere, in which all fundamental "constants" are made to vary, with the age of the Universe, namely, the gravitational, the cosmological, the coupling Brans-Dicke "constants", the speed of light, Planck's "fine -structure "constant" alpha" etc. This is a mathematical cosmology textbook that may lead undergraduates, and graduate students, to one of the frontiers of research, while keeping the prerequisites to a minimum, because most of the theory in the book requires only prior knowledge of Calculus and a University Physics course.
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2nd rank accelerating Universe amplification of gravitational anisotropic astr B.D. theory Barrow Berman Berman,M.S. Black Holes Brans-Dicke theory calculation Chapter Christoffel symbols components consider constant deceleration parameter contravariant coordinate system cosmic pressure cosmological constant cosmological models coupling constant covariant derivative deceleration parameter define definition early Universe Einstein's field equations energy density energy-momentum tensor exponential inflationary galaxies geodesic geometry given Gomide gravitational constant gravitational field gravitational waves Hubble's parameter inertial inflation inflationary phase isotropic Lagrangian lambda Lett Mach Principle Machian mass matter fields metric tensor momentum tensor neutrinos Newton's Newtonian null obey obtain particle perfect fluid perfect gas equation perturbations Phys Physics Planck's potential present Universe problem Quantum Raychaudhuri's equation reader Relativistic result Robertson-Walker's metric scalar field scalar-tensor scale-factor Schwarzschild's metric Section solution space spacetime Special Relativity speed of light term time-varying transformation valid variable vector white-hole zero
Page iii - Happy is the man that findeth wisdom, and the man that getteth understanding. For the merchandise of it is better than the merchandise of silver, and the gain thereof than fine gold.